CC Shorter Highlights Flashcards

Question

River Spot: Is River Probe Opportunity (e.g. after calling flop cbet and turn checks through) in general a favorable, neutral, or unfavorable world?

Answer 1

Favorable. Having Condensed and Been Checked to Case 1. Remember that calling actions condense our range in a major way. When we call a bet and then face a check on the next street from the polarized range, we should expect the situation to be favorable. e.g. SB vs. Hero (BB) AhQh6s X-B33-C 9c X-X 2c X-? hero calling condenses range on flop. villain checks means we're in favorable world after they check since they did a B33 which contains a lot of air still, and now they are declining to bet for the second time.

Answer 2

Having Condensed and Been Checked to Case 2. Favorable. Remember that calling actions condense our range in a major way. When we call a bet and then face a check on the next street from the polarized range, we should expect the situation to be favorable.

Answer 3

Classic Neutral World in general, while you have been betting villain has condensed twice. In this world neutral blockers usually bluff.

Answer 4

CLASSIC UNFAVORABLE RIVER SPOT. Do not bluff without amazing blockers (don't interfere with their folding range)!!!! Make sure your blockers don't block gutshots etc too when bluffing.

Answer 5

Interference Theorem- When you repolarise on the river, you will want to bluff with: a) Pairs on blank runouts b) flush/straight blockers on wetter runouts. e.g. BB vs CO Jd3h2c- X,R33,C 7d- X,B75,C Ks- X,B75,R4x bluff raises here would be J8ss, 43ss, but not QhJs since Q is bad blocker to bluffs.

Answer 6

In spots where toolkit can be simplified to 3 bet sizes and we have EV advnatage and must therefore bluff wherever possible, our thought process will go as follows a) We have a lot of Qx and Tx so B33 will be common, bluffs will be rare. b) We have a little bit of AQ KQ so B75 will be for rare value, bluffs will be rare in this size as well. c) We have a lot of 2pair+ so B150 will be common, so this is where my bluffs will go. NO REAL STANDARD REASON TO CHOOSE ONE BLUFF SIZE, with exception of when going big you need good blockers. Ask what tier is my hand? Tier 1 B150 Tier 2 B75 Tier 3 B33 Tier 4 Check Bluffs- IS there a sizing my hand has negative blockers for? If yes, roll between 2 other sizes. If no, roll 3 sizes but weight the preferred size most (like weight 50% B150, 30% B33, 20% B75

Answer 7

a) UNFAVORABLE- sometimes bluff A b) SLIGHTLY UNFAVORABLE- Always bluff A c) NEUTRAL- Always bluff A, sometimes B d) SLIGHTLY FAVORABLE- Always Bluff A & B, might bluff C e) FAVORABLE- Always bluff A, B, C Grade A always bluffed except in worst worlds (worst bluffs A sometimes). Better and best worlds A & B always bluffed. Grade C only bluffed in better and best worlds.

Answer 8

villain will fold mostly Ax and Kx, so avoid blocking them! slightly favorable world w/ 54.55% EV. Bluff all class A and class B, and stay away from Class C hands. here 4s4h has 6.3% EV and QsTs has 3.5% EV

Answer 9

At all costs avoid hands that block middling underpairs but not broadways. bluffs here aren't in Tx8x or 9x region, not bluffing anything in the middle range. villain is supposed to fold 77-JJ even QQ, and a lot of Ax. So don't block this region a) T9dd is grade C to never bluff diamonds are particular bad since spades will prob get bet on turn, so diamonds block air here! b) T9ss is grade B, since villain declined to bet on turn (flush draws common) you unblock more air now. c) 75hh is grade A sometimes bluff, they don't arrive here with a 7 and then folding! they don't have a 7 or 5 all that often when checks til the river you want to have the busted flush draw! don't bluff here w/ T9 just to recoup money

Answer 10

1) Thick Value Region (sets, two pair on dry or flush, straight on wet) 2) Thin Value Region (TPDK, TP+BDFD, Mediocre Overpair on low board) kinda entitled to 70%ish of the pot. not mandatory on flop, but want to raise eventually. 3) High EV Bluff Region (nut flush draws, combo draws, flush draws, even good gutters). Hands perform well in giant pots when they can leapfrog villains bluffcatchers. Mix call/raise 4) Hybrid Region (made hand with some redraw, example low pair low kicker which actually has 5 outs to two pair or trips, can get better to fold. 5) Low EV Bluff Region (mix call/fold/raise) people don't find 2,4,5 enough EV Spectrum goes 1 starts near 300% pot EV 2 starts near 100%ish pot EV 3 starts near 66%ish pot EV 4 starts near 15%ish pot EV 5 starts near 0%ish pot EV 3 is only loosely a bluff in the sense that villain commonly folds significant equity vs the raise 4 combines reasons mainly value and extreme denial. lower the EV of call and the more useful the fold equity, the closer a hand gets to qualifying as a hybrid raise. 5 is sometimes +EV but in other cases 0EV. sometimes mix fold/raise and sometimes mix/call/raise

Answer 11

a) on unpaired multitone textures, raise or call depends on how polarised c-bettors range is. Against merged range you want to raise yourself. b) on paired or monotone, indifferent to calling and raising since it pushes villain towards air with its blockers. Case A Pure Raise on unpaired/multitone facing R33 BB vs BU As9s4d w/ 4s4h urgency is high to build the pot now against this merged range. huge EV loss to not raise. Case B Mixed Raise on unpaired/multitone facing B75 BB vs BU KhJh4d w/ 4h4c more polarized range will put in money for you, don't get their air to fold Case C Mixed Raise on Paired Flop facing R33 BB vs BU JhJc7d w/ 7h7c incredibly polarizing flop. normally on multitone texture 77 would be a raise, paired flops are exception. Villain is incredibly polarized by this flop. While a jack is unblocked by our hand, so too are the bluffs in villains range that will fire future streets at high frequency. Hand has polarizing blockers, meaning we block hands that hands that would only invest by calling, so very likely we will face aggression in a checkback line. Case D Mixed Raise on Monotone Textures facing B33 BB vs BU Tc6c4c w/ A5cc Most of range that calls you has a club, but villain won't just bluff only clubs on turn so you block villains future air bluffs.

Answer 12

a) Wet Turns give the check-raiser a big RA, but equalize the NA. So bet frequently w/ small sizing. b) Dry Turns give the caller a RA, but preserve the raise's NA since the higher EV draws have bricked but they still have medium hands. So bet very big or go for snake in the grass w/ check-raise

Answer 13

7h- IP is largely ahead rangewise, causing OOP to have to check-fold a lot. but they have nut advantage. MIX check (checkraise) and B120. Region 1 which unblock villains calling range will pure bet, just as it pure raised flop. like 4s4h. With blockers to calling range Region will will have as much EV by checking, like Ah9d. 2s OOP largely ahead, but NA for IP. simplify to B33. Our range is MERGED and POWERFUL now (as opposed to polarized and air-heavy) Our Region 1 hands have now become much thinner value bets (like 4h4s). this set can turn into boat as well!

Answer 14

Thin Value region has less urgency to build pot. Always mix call/raise regardless of texture. a) raise then don't barrel off large if called, check or go small later. b) Much less raising vs bigger sizing as our range deploys less raise frequency. thin value hands raise w/ similar frequency to global frequency. c) mid freq for denial d) not often, focus on removing continues/ unblocking bluffs Case A facing R33 BB vs BU As9s4d w/ A8hh raises like 20% great to unblock diamonds here as a sidenote raise then don't barrel off large if called, check or go small later. Villain range betting, they must continue lots of weak/merged hands. Case B facing B75 BB vs BU KhJh4d w/ Ks7s raises like 9% Much less raising vs bigger sizing as our range deploys less raise frequency. Raises to get called by worse, or for denial against Ax or gutters for instance here thin value hands raise w/ similar frequency to global frequency. (high EV bluffs, hybrids, low EV bluffs often bet way more than global) Case C facing R33 BB vs BU JhJc7d w/ 9s9d raises about 50% Denial is biggest role here, as long as we don't get out of line later. Case D Facing B33 BB vs BU Tc7c4c w/ 64ss raises about 12% Not often so we don't want to do this all the time. Again removing continues and unblocking bluffs

Answer 15

Cobra still applies. a) dry turn bets larger and less often b) wet turn bets smaller and often but mixing check. a) 4s lets us remain far more polarized than villain but his range is still quite polarized given Jx is so much better than all other regions. MIX B75 and CHECK Hands like 9s9d (that were Tier 2 or 3) now drop to Tier 4. b) Td. He the polarization gap closes and the cobra insists we bet smaller. Not such a great turn that we can range bet though. MIX B33 and CHECK Hand like 9s9d becomes a Hybrid.

Answer 16

High EV bluffs are already very high EV, so can be seen as value-bluff hybrids a) raise a lot (technically value) b) raise quite a bit but not as much as they put $ in for you c) HIGH EV BLUFFS RAISE MOST ON PAIRED d) raises mid-low freq and can raise later too Case A facing R33 BB vs BU As9s4d w/ Qs8s about 80% of time Hands entitled to majority of pot are value raises- these ones just get very useful fold equity Case B facing B75 BB vs BU KhJh4d w/ A6hh about 40% of time Again overal raise frequency is lower so this hand is actually far above the mean global freq. Case C facing R33 BB vs BU JhJc7d w/ Th9h near 100% of time We have more raised on paired boards than any other rough texture. Some high EV draws become pure raises under these conditions. Global raise range on this board is high too, as you're facing range bet and easy to have random J Case D facing B33 BB vs BU Tc6c4c w/ Kc9s near 25% of time Again our pot entitlement makes this a literal value-bluff. Can raise later too.

Answer 17

a) when we suffer this brick turn card our range is now in unfavorable world. Mix 75 and Check Note: due to larger flop c-bet no need to overbet despite large NA We have a low global betting frequency here so even this hand checks frequently (30ish%) b) Qh brings in flush and straights so we're now in highly favorable world where solver bets range. Solver chooses 34% B75 and 66% B33, 0% check. We can simplify to 100% B33 w/ almost no EV loss.

Answer 18

Marginal made hands which benefit a lot from fold equity and retain decent equity when their raise is called. More vulnerable these are and the weaker they play as calls, the more often they will opt to raise. a) raise a lot b) raise quite a bit still c) raise quite a bit d) can raise small freq Case A facing R33 BB vs BU As9s4d w/ 43hh raises near 80% of time Fold equity is fully denial based, no element of bluffing yet but could change on turn. Case B facing B75 BB vs BU KhJh4d w/ Ad4s raises near 50% of time This hand unblocks a lot of Villain's bet/folds. 4 doesn't interact with much and the Ad doesn't really either. But we would not raise Qs4s as it is not overpair to board. Case C facing R33 BB vs BU JhJc7d w/ 2s2c raises near 45% of time. Again elements of value w/ huge spread of denial. Our range is most polarized here. Villain is meant to call a bunch of unpaired hands here so denial is huge. Case D facing B33 BB vs BU Tc6c4c w/ 6d5d Again lower kicker makes hand vulnerable enough to hybrid raise.

Answer 19

a) brick turns can continue to bluff as they unblock a lot of folding range. b) wet turns disaster to continue bluffing (BU has best big cards/overpairs to make flushes) a) neutral spot but our hand plummets in EV further. Hybrids oftem become useful bluffs (tier 6) on worsening cards for their equity as this hand now unblocks a lot of Villain's folding range. 6d5d would raise about 45% of the time. (neutral world where low EV bluffs can bluff sometimes) b) BU has monopoly on offsuit big cards and overpairs, so actually is a disaster for BB range of low flushes and lower EV bluffs (33% OOP EV) This spot is so unfavorable Tier 6-7 must be given up and this hand is certainly no Tier 5 bluff.

Answer 20

Low EV bluffs usually close to 0EV and indifferent between call/fold/raise. May even be losing calls but breakeven/winning raises Low robustness but some distant nut potential. If these 3 things are true, you want to raise instead of call 1) Pot odds are bad 2) OOP so less future fold equity 3) hand is frail and not surviving in terms of SDV Case A facing R33 BB vs BU As9s4d w/ T8dd raises near 10%, calls like 55%, folds rest. Two backdoors alone are barely enough to break even vs even a range bet. Profitable riving bluffing opportunities when they check back turn. Not just backdoors here but also pair draws. Case B facing B75 BB vs BU KhJh4d w/ Th9d raises near 40%, folds otherwise Illustrating that raise can be better than call. Raises way more than global frequency as a hand here. If these 3 things are true, you want to raise instead of call 1) Pot odds are bad 2) OOP so less future fold equity 3) hand is frail and not surviving in terms of SDV Case C facing R33 BB vs BU JhJc7d w/ Kh5h raises near 4-5% and folds rest Would not raise 6c5c since 6 not high enough of pair to be worth it. Case D facing B33 BB vs BU Tc6c4c w/ 6d5d raises near 40% and calls rest. We stay away from backdoors here as they are just too insignificant on monotone boards.

Answer 21

Having raised the flop, do not bluff again with low EV bluffs that missed on a neutral or unfavorable turn card. The fact that a) villain called b) unfavorable turn means you should give up a lot with huge deficit in fold equity and nothing going on with your hand! (kinda like turn probe opportunities where board favors PFR where BB should just give up a lot) Judgemental Crow says "Were you thinking of bluffing just there? Were you? That's a horrible blunder, you idiot" Don't pile money in spots with air when spot is unfavorable for you. Case A BB vs BU As9s4d- X,R33,4x,C Kc- ? T8dd checks always. OOP EV is 40% so highly unfavorable world so can't choose T8dd as bluff.

Answer 22

If these 3 things are true, you want to raise instead of call 1) Pot odds are bad 2) OOP so less future fold equity 3) hand is frail and not surviving in terms of SDV

Answer 23

Don't just look at hand against specific sizing! Make sure to be elastic to have a good defense frequency. Value Beaters call all bets Catcher A (Good) mixes call vs B150, calls all rest Catcher B (Average) mixes call vs B75, calls vs B33, folds vs B150 Catcher C (Bad) mixes call against B33, folds against B75 & B150 Frail Hand folds against all.

Answer 24

Remember you want to unblock bluffs when bluffcatching! QQ blocks AQ which is large portion of bluffs. 99 does not block bluffs. A bluff catching spot often requires counterintuitive defense Many lower absolute hand strength combos have higher calling EV than combos of higher absolute hand strength. 99 has 0.5bb call EV since it doesn't block bluffs. QQ has -2.1bb call EV as it blocks a lot of bluffs! Don't be fooled. QQ blocks a lot of AQo

Answer 25

a) Fold more on wetter textures & when ranges are tight. b) Defend well on dry textures when ranges are wide. Bluffcatching: DOWNGRADE HANDS FOR WETNESS UPGRADE HANDS FOR DRYNESS

Answer 26

these worlds are usually SLIGHTLY UNFAVORABLE since condensed range prefers blank runouts. To reach triple barrel, our range is significantly polarized and villain's is heavily condensed blank river, we tend to arrive w/ large range disadvantage but large nut advantage. only we have a large batch of hands that are entitled to way more than pot in EV Button mostly had a bunch of tier 1 hands, and tier 4 hands in the middle. rest of range is a large majority of bluff tier hands!

Answer 27

Tier 5 Slightly winning bluffs MUST BET Tier 6 0EV bluffs MIX Tier 7 Losing Bluffs MUST CHECK Tier 7 is garbage at bottom, tier 6 is just above, tier 5 is near middle and close to SDV, then Tier 4 is SDV Tier 5 Winning QJhh (check is 0 EV and b117 is 16.68EV) Tier 6 Breakeven KcJd (check is 0EV and b117 is -0.10EV) Tier 7 Losing KdJd (check is 0 EV and b117 is -9.59) KdJd has bad blockers!

Answer 28

Tier 5- Positive combo of right suits to block TP and unblock high SDV busted draws that get to river and fold Tier 6- A neutral combination of above factors. Tier 7- negative combination of above factors.

Answer 29

WET BLANKET'S RULE: It is a horrific blunder to bluff without very positive blockers on wet unfavorable runouts. Spot: Triple Barrel Opportunity/ 3Bet Pot/ IP/ Wet Highly Unfavorable Runout Tier 5: Nothing should be winning in these spots as fold equity is below pot odds norm Tier 6: Very Best Bluffs will always block the newly completed nuts Tier 7: Everything else Tier 5? No such combos here Tier 6? Ah3d is breakeven even w/ great blockers Tier 7? Jc5c is HUGE blunder to bet. et BB is in really unfavorable world where his best bluffs break even. BB doesn't make many flushes bc preflop defence range is loaded w/ Axs and suited broadways.

Answer 30

a) Flop IP in 3BP (should check OP sometimes allows OOP to probe too effectively) b) Float Flop in 2BP (checking back w/ top pair gets SB to lead bad hands on turn that would've check-folded flop) c) Turn Barrel OOP in 3BP (a lot of check-jam, when cbet's been called OOP you lose RA so you want to check a lot, now some hands are not good enough to bluff w/ now due to meh world. IP will then do small bet for thin value/denial when checked to and we check-raise for value & semi-bluff) d) Turn Float Bet After Call X/R in 2BP (Natural instinct after calling x/r to bet when checked to, shouldn't so you avoid x/r on turn as well as realize more equity against villain's top part of range. Wait til next street to take stab so don't reopen action) (also if you have good top pair, you may be tempted to stab IP when OOP checks turn having x/r flop but you can make $ against villain's hands that bet later) e) Turn Delayed C-bet in 2BP (slowplay w/ top pair weak kickers this is pretty standard) f) Turn Probe (must protect checking range as OOP, x/r is just as good as overbetting now for value. don't always check weak hands)

Answer 31

Brute's Rule: Bigger cards more important when defending unpaired hands in 3bet pots. When defending the flop with unpaired hands (either by calling or raising) favor those with bigger cards. Making 1 pair and dominating a large region of Villain's cbetting range is far more important than backdoor potential. e.g. CO vs BU 3bet pot 3h3s2s x-b60-? T9hh loses -2.6bb EV JThh loses -1.9BB EV QJhh loses -1.4BB EV KQcc doesn't lose. 0EV (KQcc looks like an ogre on this 2tone board w/ no bdfd, but it's the best you have to defend here of the hands above) (since your backdoor draw won't get there very often you need frontdoor draw to be great) (implied odds and reverse implied odds are huge here)

Answer 32

Solution (got em mostly right! and really close answers): 1) c. Raise40 16%, Call 28%, Fold 56% 2) e Raise40 43%, Call 6%, Fold 51% 3) a Raise40 38%, Call 52%, Fold 10% 4) b Raise40 0%, Call 37%, Fold 63% 5) d Raise40 8%, Call 64%, Fold 27% against range bet. 1) bad for our range but we have polarization, bottom is 66-99 not including 88, top is KQ or 88. how often you raise is not equity v equity, but if we have tier 1 region. if we have tier 1, we can raise it and add bluffs. not exploitable, it's OK to have capped range and do this (OK to have capped ranges in GTO, e.g. it's ok to raise a set in SRP and leave calling range capped, esp. OOP) 2) same range vs range equity, here BU is blasting merged range into pretty polar CO, that's why raise so much here in addition to CO OOP and can't close action on turn when they call here so realization on later streets is poor. when CO raises in this spot, BU is not 3betting a lot since CO is polarized when doing so. 3) board is good for CO range since so many Q. so raise this a lot and call a lot. all AQ here since AQo is supposed to call often. 99, TT, JJ got destroyed. Defend a lot against range bet. 4) this board has no sets for CO. QQ, JJ, TT, all got leapfrogged and all the air in CO range (primarily queens) is not good here. no raising at all since paired board makes 2 pair outs of unpaired hands and backdoors much worse (no live runner runner two pair draws against AA) and K is not present much in CO range. no sets possible for CO either! that's why no raising too. don't defend MDF here. 5) not as bad, we catch up a little bit on NA and RA, problem is we don't hit J often since we tend to 4bet bluff or 4bet w/ JJ or Jx. Big nut disadvantage. BU has AA-QQ, even offsuit Jx which makes J more prevalent in their range. but their unpaired broadways miss out and we still overfold compared to MDF. Worse a flop is, more we fold. Look for how much folding vs MDF. my guess: 1) e 2) c 3) a 4) b 5) d

Answer 33

a) Thick Value- AQcc is mixed raise Thin Value- QJdd is mixed raise High EV Bluffs- 76cc is mandatory (combining OOP w/ frail hand without SDV, if we call struggle to continue later since SPR won't be big enough for bluff shove w/ just OESD and bad realizability. Hybrids- 7h7d (texturally dependent. more overly merged opponent is compared to how they should be, more you get away with hybrid raising. fold equity against 99 for instance, raising for value if villain cals w/ AK or Ax bdfd Low EV bluffs- JTss (must bluff these to remain indifferent. don't shirk away from this) b) all we need are some Tier 1 value holdings in our range to go ahead and bluff raise, OOP this becomes necessary.

Answer 34

a) Thick Value- AQcc is mixed raise Thin Value- QJdd is mixed raise High EV Bluffs- 76cc is mandatory (combining OOP w/ frail hand without SDV, if we call struggle to continue later since SPR won't be big enough for bluff shove w/ just OESD and bad realizability. Hybrids- 7h7d (texturally dependent. more overly merged opponent is compared to how they should be, more you get away with hybrid raising. fold equity against 99 for instance, raising for value if villain cals w/ AK or Ax bdfd Low EV bluffs- JTss (must bluff these to remain indifferent. don't shirk away from this) b) all we need are some Tier 1 value holdings in our range to go ahead and bluff raise, OOP this becomes necessary.

Answer 35

Thick Value- 88 (raising limits EV for villain) Thin Value- KTdd (has same frequency as range around 10-15%) High EV Bluffs- JTss (ayy got it right. has HUGE EV tho so not rly bluff lol) Hybrid- QJdd (10-15% raise frequency, raises same amount as range) Low EV Bluffs- A8dd (also has global raise frequency of 10-15%. don't feel great about raising this, relies mostly on fold equity) usually Low EV Bluffs, Thin Value, and Hybrids raise same as global frequency. Note we raise less on boards where villain isn't really range betting. My guess: Thick Value- KQ Thin Value- KJ High EV Bluffs- JTss Hybrid- 77 Low EV Bluffs- 76dd

Answer 36

solver doesn't think of "initiative" Don't let live hands in BU range like A2ss check back and realize equity. Don't routinely check flops like 765tt or 875tt if not betting entire range OOP, you are playing a mixed polarized strategy where you split between slowplaying and fastplaying your best hands.

Answer 37

After we call flop cbet OOP, Turn SPR is usually 2.5-3.5 When villain double barrels, SPR reduces to 1.5-2. (all solver cares about is SPR) Jamming is a very natural play against these bets- we risk relatively little to gain denial in a large pot. (can't do this with middle of the range as it's polarization error) Thick Value- 5s5h massive pot entitlement, go ahead. slowplay more w/ bigger hands in absolute terms, and fastplay more flimsy strong hands right away. High EV Bluffs- JThh call or jam, jamming more natural. Hybrids (don't try at home til good)- 8s7s is mandatory. value, denial, bluff. not much bluffage here. We are not inclined to jam median hands like TsTd! big mistake to raise.

Answer 38

When board texture makes equities run further apart, denial will be smaller part of picture. Look out for PAIRED TURNS where villain's range is much more polar and our range more condensed. here our Tier 1 hands do not benefit from denial (in fact they suffer from it) and our semi-bluffs are doing much worse against Villain's bet/call range.

Answer 39

Fold equity is way less against advantaged villain here. You don't bluff your low EV bluffs in unfavorable worlds, because you put those in your check-fold range to strengthen your betting range.

Answer 40

Range advantage remains with IP as checking behind is mildly condensing. Note: this is not a node for IP.

Answer 41

Range advantage.

Answer 42

Nute advantage.

Answer 43

1. positional advantage 2. nut advantage

Answer 44

Situation is highly favorable and able to even bet 86s at some frequency. in less favorable spots these low EV hands will be pure check. MAKE SURE TO BLUFF A LOT OF AIR IN FAVORABLE WORLDS

Answer 45

spot IP EV= 52.6% of pot- slightly favorable Pot odds norm is 42% fold equity, the fold 44% which is close. No abundance of fold equity we do not bluff the very worst candidates often like Jd5d, Qd4d do bluff reasonable candidates like 9h6h.

Answer 46

No, neutral flop. Not too polarized compared to each other, so you bet small.

Answer 47

small bets since BB more polarized and BTN is not in favorable world

Answer 48

BU still more polarized even though nut advantage not as good anymore due to turn but we still have overpairs, betting medium bet size since nut advantage is still good enough. Nut advantage still so go larger, more frequently. can't bet giant. Flush turn and paired turn reduce nut advantage by similar margin.

Answer 49

Paired or flush turns Flush turn and paired turn reduce polarization gap by similar margin. big bets but not overbets as a result since not HUGE nut advantage.

Answer 50

When hero's bet would fold outa significant amount of hands that have a great deal of equity vs Hero's hand Hero can't bluff if no elements of bluffing present e,g, having 99 on turn on KQ54 Hero can bluff if elements of bluffing present AND EV of check not likely higher than betting e.g. no SDV gutter on turn Hero MUST bluff when elements of bluffing present and EV of bet is likely higher than EV check e.g. favorable worlds. on river w/ air in a spot where we have range advantage

Answer 51

Elements of value when hero's hand would have a decent amount of equity vs Villain's range after his bet gets called Hero can't value bet if no elements of value present e.g. K-high on flop Hero can value bet if elements of value present and EV of check is not likely higher than beting e..g. good top pair on the flop Hero must value bet if elements of value present and EV of bet is likely to be higher than EV of check. e.g. mostly IP when most urgent to potbuild, really only w/ top of range IP facing a check or when OOP facing a bet. lesser hands tend to be optional. but good example is on river in favorable world, last chance for value.

Answer 52

for delayed cbets: 3h turn is a brick and IP maintains advantage, EV and equity stay same as flop Kc IP EV and equity goes up, equity does too while OOP's equity drops 7s is neutralizing polarization wise since flush comes in. EP equity goes up but EV stayas similar to flop. IP EV does not change but his equity does. for double barrels: OOP EV goes up a lot after calling. IP EV and equity are lower since OOP called on and OOP equity goes up on both 3h and Kc on 7s turn, EV is worse and OOP equity bursts up too while IP equity plumments. spade turn polarizes OOP more.

Answer 53

Tier 1: Landing Equity is huge. Finishing Equity is very high. (B150) Tier 2: Landing Equity is very high. Finishing Equity is high. (B75) Tier 3: Landing Equity is high. Finishing Equity is decent. (B33) Tier 4: Landing Equity is decent. Finishing Equity is low. (Check)

Answer 54

B75 or B150. Idea is that Check is so profitable in position (we have guaranteed equity realization for at least one street) it is usually not necessary to reopen the action for a smaller bet.

Answer 55

B33 and a higher sizing (choose B75 or B150) Check has a lower EV out of position than in position (since not guaranteed to realize equity after check) so smaller bet can often be necessary action B33-Most turn and river spots want block bets, like probing, double delay cbetting, double delay stabbing, bet-check-bet. Not uncommon for hands even in low 60's high 50's equity wise to block bet OOP bc check isn't good alternative. Most river situations where we bet small, villain is quite polarized or equally polarized. B75 and B150- not always necessary, especially when villain is very polar. When villains range is more condensed, we will favor a larger sizing also to get more money for our value hands. Bigger you go, more money you make in EV in spots you're not getting raised. Which one? size of nut advantage and depends on if villain polar or condensed.

Answer 56

Yes except for some extremely favorable and rare spots where we continue to range bet (don't really range bet turn since equities run much further apart, much less fold equity now. e.g. SB vs BU 3BP- turn cbet on 8s8d4c Kh can continue to range bet, K is famously great for 3bettor as they already had more Kx in range, while caller just folded a lot of Kx on flop after bet. (Turned top pair is even better than flop) This is exception to rule of always having check range.

Answer 57

-No Showdown Value -Nut potential -Out of Position e.g. SB vs BB. hero has 8h7h AsJs5d SB b33, c. 6h SB ? MANDATORY BLUFF

Answer 58

Urgency Landing equity- since equity drops lower as bet size gets bigger, we need to know how much landing equity we need for each bet size to be able to value bet for that size.

Answer 59

B33- 55% B75- 65% B150- 75% (10-15% less than value betting Dry Turn or River)

Answer 60

B33- 65-70% B75- 75-80% B150- 85-90% (10-15% more than value betting on Wet Turn)

Answer 61

No, e.g. normally B33- 55% minimum on wet turns but don't even need 50% especially if OOP (equity denial and implied odds in play)

Answer 62

Yes, we need more since pure equity now! More strict since: No equity denial No more implied odds

Answer 63

On wet boards, you can value bet with lower landing equity compared to dry ones. Wet Turns- hand is ahead more often than our equity suggests) Dry Turns- hand is way ahead or way behind

Answer 64

IP needs a little more equity to value bet due to risk of re-opening the action OOP needs less equity to value bet since checking doesn't close action

Answer 65

- When hand is strong enough to pick a certain bet size AND - Urgency is HIGH e.g. BB vs BU (Ad2d) flop: Jh4h2s X-B33-C turn: 2c X-? -landing equity is 94% -board is way ahead/way behind spot except for flush draws, need to be more strict on how much equity we need to value bet -Monster equity w/ MUST BET (chooses B150, B33 only close in EV bc solver raises a lot but people don't -Finishing equity is 91%

Answer 66

- Hand is strong enough to pick a certain bet size AND - Urgency is LOW e.g. BB vs BU (KcTc) flop: Ks7d6d X-B33-C turn: 3d X-? -landing equity of 67% is not enough for B75 on dry turn/river -villain having lots of 20-30% equity hands (draws and pair+ draws) is misleadingly lowering our equity. -Higher equity than seems hand qualifies for B75 -spot not urgent though so optional -hand not seeking to build huge pot or win massive amount+

Answer 67

- Hand is not strong enough to pick a certain bet size OR - You are not building a betting range using a sizing small enough to value bet your hand. e.g. BB vs BU (KcTc) flop: Ks7d6d X-B33-C turn: 3d X-? -betting w/ 77 turns equity from 56% to 47% after BB calls. B33 is mistake of 1.3%, B75 is huge blunder of 10.7%!!!!!

Answer 68

No, denying equity s a useful bonus but not sufficient reason for betting. Denial comes in handy when fold equity you get by betting is largely useful to you. You don't "bet for protection" You bet for value with a BONUS OF DENIAL. You bluff with a BONUS OF DENIAL. Denial can be a SWING FACTOR. Denying equity to hands that are already losing only wins you a little against those hands. When you risk that bet to make those hands fold, you lose extra to hands that beat you. MAKE SURE BET HAS HIGHER PURPOSE (Value or Bluff) e.g. BB vs BU (9h9s) flop: 8h5c5s X-B33-C turn: 2d X-B75 -9h9s bets due to landing equity but benefits from overcards folding too e.g. BB vs BU (Kc6c) flop: KhQc4s X-B33-C turn: 5s X-X -Kc6c does not rly deny equity in a useful way, flush draws you get value from since their equity is poor, -hands you deny equity to are stuff like gutshots, pocket pairs

Answer 69

No, denying equity s a useful bonus but not sufficient reason for betting. Denial comes in handy when fold equity you get by betting is largely useful to you. You don't "bet for protection" You bet for value with a BONUS OF DENIAL. You bluff with a BONUS OF DENIAL. Denial can be a SWING FACTOR. Denying equity to hands that are already losing only wins you a little against those hands. When you risk that bet to make those hands fold, you lose extra to hands that beat you. MAKE SURE BET HAS HIGHER PURPOSE (Value or Bluff) e.g. BB vs BU (9h9s) flop: 8h5c5s X-B33-C turn: 2d X-B75 -9h9s bets due to landing equity but benefits from overcards folding too e.g. BB vs BU (Kc6c) flop: KhQc4s X-B33-C turn: 5s X-X -Kc6c does not rly deny equity in a useful way, flush draws you get value from since their equity is poor, -hands you deny equity to are stuff like gutshots, pocket pairs

Answer 70

Can turn a thin value hand which prefers to check in a dry (way ahead/ way behind situation) to a bet on a wetter texture (more villain hands are just draws & behind)

Answer 71

-Showdown Value (is EV of checking high or low?) -World Favorability (EV of range. e.g. massively ahead, IP, nut advantage etc.) fold equity will go up

Answer 72

When opponent has range advantage, fold equity is lower. Only choose bluffs that have either : -Some nutted redraw (on the turn) -Positive blocker effects (on the river) Especially bad to bluff when villain has range advantage and positional advantage, they will be slightly underfolding compared to the expected amount of fold equity.

Answer 73

Turn probe opportunities are usually UNFAVORABLE for OOP and demand a selective bluffing strategy since preflop raiser retains an advantage when he checks behind on the flop.

Answer 74

-Not in unfavorable world AND -Do not have too much SDV to bluff

Answer 75

a) Cbetting the Turn (double barreling) b) Delayed Cbetting (bluff more than double barrel, favorable world, optional since bet now, or wait til river) c) Probing the Turn on a very low/connected board (more favourable than most turn probe opportunities) can wait til river to bluff d) Betting the flop where your range is stronger than villain but not massively e) Triple Barreling on the River

Answer 76

When you are in a FAVORABLE SITUATION for your range on the river and have NO SDV you MUST BLUFF 1) You retain your preflop range advantage all the way through the hand either because you haven't bet yet or due to a very good runout. 2) You call a bet on an earlier street then Villain checks the turn giving you a range advantage rarer spots: 3) cbetting flop w/ huge range advantage and no SDV 4) being OOP w/ promising draw that has zero SDV 5) double barrelling a very good turn card for your range again with no SDV but some sort of nut potential most other juicy looking spots are optional- exploitative factors aside

Answer 77

Range Filtering Texture Configuration

Answer 78

Bad to bet for thin value, polar range does not have many middling hands you beat that will call. Villain only hands that cannot call and hands that beat you! If you're ahead, your better hands can get value by villains weak hands bluffing!

Answer 79

Avoid slowplaying against condensed range, as they skew towards calling as form of investment and will check back more.

Answer 80

Fire large sizing for value and as bluff against merged or condensed ranges

Answer 81

Merged on low boards e.g 863r (BB has mediocre pairs) Polar on higher boards e.g. A73tt (BB either has it or doesn't, no A-high compared to low boards, hard combinatorically to have a pocket pair) LARGE SIZE ON DRY LOW FLOPS IP SMALL SIZE ON DRY BIGGER FLOPS IP

Answer 82

Villain is quite merged/ condensed on both high and low flop textures. Creates a lot of medium strength hands in BB's range, KJ5tt creates way more second pair and medium strength hands (flush draws and straight draws are actually mediocre) Deploy LARGER BET with strong hands and various bluffs on SEMI-WET UNPAIRED TEXTURES

Answer 83

BB will be polar BU should prefer smaller bets e.g. Q83sss exclusively small bets (even 10%pot sometimes). BB has 2 spades (high equity), 1 spade (high equity), or no spade (low equity e.g. J7cc can't call 10%pot).

Answer 84

AK is weakest value bet. AQ does NOT value bet after overbet as it's too weak against villain range. BE AWARE OF HOW YOU FILTER VILLAINS RANGE RELATIVE HAND STRENGTH IMPORTANT

Answer 85

KQss (straight) is weakest value bet. Even AsAh (set) is checked. RELATIVE HAND STRENGTH IMPORTANT

Answer 86

It goes down and lose urgency to double barrel. Clean runouts mean villain still condensed, you must barrel. e.g. BB vs BU flop: AdTc3s X-B33-C turn: 6h X-? Disaster runouts mean villain is more polar now e.g. BB vs BU flop: AdTc3s X-B33-C turn: Td X-? -Even AK checks mostly mixing some bet. Villain concentrated towards Tx. Let them bluff the river and turn AK into a bluffcatcher.

Answer 87

In TIGHTER configurations relative hand strength IS BELOW absolute hand strength? e.g. UTG vs CO 3b or UTG vs BU 4b or UTG vs BB SRP look at call/fold thresholds against B33 and see how tighter configurations encourage OOP to fold more since IP has less bluffs to bet naturally

Answer 88

In LOOSER configurations relative hand strength ABOVE absolute hand strength? e.g. ranges get wider don't need as good of a hand to have a relatively powerful holding since BB continues wider. look at call/fold thresholds against B33 and see how looser configurations encourage OOP to fold less since IP has more bluffs to bet naturally

Answer 89

Blocking continue range and Unblocking folding range

Answer 90

-Equity is base -Realizability of equity -Future fold equity -Implied Odds

Answer 91

1) realizability of equity 2) future fold equity spots can be be higher EV as bluff on later street e.g. when IP calls flop bet and OOP checks turn. Gaining range advantage allows IP to leverage fold equity on later street 3) implied odds- when calling bet IP, chance to value bet river increasing pot against OOP medium hands. When OOP, river can go check check OOP is not guaranteed two value bets like IP is

Answer 92

"Don't have the odds" fallacy only looks at equity and compare that to our target pot share. Target equity is only same as target pot share in end of action spot. e.g. BB (KdTd) vs BU flop: 8s8d6c X-B33-C turn: Jd X-75-? -student would say we need 30% to call, then looking at K outs (3) and diamond outs (9) we have 12 outs --> 24% equity. -This ignores the time that villain has air and sometimes KT is good. -"We have close to pot share in equity, implied odds, and some chance of winning w/ K-high"

Answer 93

-hands that rely on winning with marginal SDV and lack redraw to powerful hands struggle to realize due to folding -hands which combine SDV with improvability and/or have nutted outs are going to have higher realizability by continuability

Answer 94

BB folds more OOP, but when IP folds closer to breakeven point

Answer 95

Future fold equity. there is actually enough times that villain does not cbet turn, so don't focus on just times they barrel. e.g. BB (Ts9s) vs BU flop: KhQc4d X-B33-C turn: x X-X river: x X-? -RIVER IS PROFITABLE BLUFF FOR BB w/ range advantage from filtering, now fold equity should be above breakeven point for whatever sizing -chance to make profitable river bluffs allows flimsy flop calls and lose money when villain barrels. don't get too carried away though, still consider implied odds and equity

Answer 96

1) position 2) opponent type (station or non-station?)

Answer 97

Don't just say range advantage and justify it by listing most nutted hands. Low hands bring down equity of our range as much as high equity hands bring it up. More medium brings concentration to medium

Answer 98

On flop, somewhat true but on turn and river must be more polarized On the flop, range advantage increases betting frequency and large range disadvantage lowers betting frequency OOP, but on turn and river we must polarize our ranges to some extent so don't just bet middling hands on turn or river w/ huge range advantage. e.g. BB vs CO (8d8s) flop: JhTh4c X-X turn: Qd X-B75 ---> B75 IS A BLUNDER for 88! Don't bet middling hand when you need to polarize range. DESPITE big range advantage, don't make POLARIZATION ERROR -don't overinvest w/ hand too mediocre hand for value and too mediocre to bluff e.g. BB vs CO (4h4s) flop: JhTh4c X-B75 turn: Ts X-X ---> CHECK IS A BLUNDER for 44! don't be passive when urgency is high even despite range disadvantage (IP that is, OOP can checkraise)

Answer 99

-UNIQUE high equity hands (e.g. KK), which is part of nut advantage. -CO has higher % of top pair & second pair in his range. BB sometimes 3bets these combos so less for him in SRP. -CO has less % of very low equity hands in range like 75dd or bad K-suited or Q-suited that are abundant for BB. This brings down equity of BB range.

Answer 100

Literal Nuts Fallacy-"But we have more 96s for the straight than he does" Don't hyperfocus on just 3 combos of 96%equity hands when you have 24 combos of 90% equity hands. Nutsaphobia- "He could have a set." Don't be afraid to bet just because they have a nut advantage.

Answer 101

UTG vs BB 9d3d2s after BB check -even though BB can have 6 more combos of sets compared to UTG, BB has 202 combos so only 3% of nuts -meanwhile, UTG has 224 combos and JJ-AA (24 combos) which is 11%. These hands have around 80% equity and are entitled to more than the pot in EV. SIZABLE NUT ADVANTAGE w/ less literal nuts

Answer 102

Bet more and less polarized Why? 1) Bluffing and Denial benefit from villain weaker range bc V needs to fold more frequently when he lacks the strength to continue the expected mathematical amount. 2) Value- have more value hands when V is weak, so our weaker absolute strength hands are stronger. can bet more thinly 3) Bluffing- Since fold equity is higher than normal when we have a range advantage our bluffs are more profitable so we want to make more of them. 4) Denial- villains range is relatively weak, a lot of combos will be air hands w/ some redraw. We benefit more now from bonus of denial since we run into live weak hands that fold frequently.

Answer 103

with large nut advantage- B75 without large nut advantage- B33 "Do we have a LARGE nut advantage?" is the question we should ask.

Answer 104

B33, infrequently! check 85% Frequency controls sizing is a fallacy. Correlation not causation.

Answer 105

e.g. BB vs BU flop: 7h6h2c X-? BU has large nut advantage, so B75 as choice infrequently (38% freq) BB has strong range due to texture and connecting w/ unique hands Meanwhile, some of BU's unique hands like two big cards have dropped significantly in equity on this texture.

Answer 106

e.g. BB vs HJ (66% equity) flop: AsQdQc X-? -High frequency, small sizing -both players have similar concentration of Qx -Where does HJ range advantage come from? Less trash/low cards more decent hands like AK/ AJ/ KK

Answer 107

e.g. BB vs UTG (59% equity) flop: J22r X-? -Betting 100% of time w/ B75 76% of time and B33 24%, CAN SIMPLIFY to 100% B75 -hugely in UTG favor w/ best Jacks and Overpairs on hard to hit board. BB has more trips but scarce enough to barely matter -if JJ2r instead, BB and UTG would have similar conc of jacks so B33

Answer 108

KQQr small size high freq, both have similar conc of Q

Answer 109

B75 mid freq large nut advantage meh range advantage

Answer 110

B33 mid freq -overpairs not good w/ A -Ax similar concentration

Answer 111

B33 for mediocre freq -9 is prevalent in both ranges, so no huge nut advantage but still range advantage. Gotta be careful because BB will be somewhat polarized here

Answer 112

b33, low freq 35-40% -nut advantage neutralized, villain is polarized

Answer 113

b33, low freq -BB has nut and range advantage, they will put in money

Answer 114

e.g. BU vs BB Flop Js6d3d X-B33 Turn 8c Preflop: BU equity starts out high, BB condenses range by calling(not 3betting) Flop Js6d3d: Board is better relatively to others for BB, J not good for BB but two-tone helps BB catch up as well as 6 and 3 being low.] -nut prevalance goes down on flop for BB, goes up for BU -equity drops for BU, goes up for BB B33 by BU polarizes his range by betting & equity nudges up, BB caps range by calling but equity gets higher than BU due to shedding weak hands and keeping medium strength hands. -nut prevalence for BU goes up, goes down for BB Turn) 8 is good for BU, no flush runout or low straight completer or pairing low card (would polarize BB). BU can stay polarized. LARGE NUT ADVANTAGE BUT RANGE DISADVANTAGE FOR BU Bet 40-60% of time w/ B75

Answer 115

FAVORABLE -Q is great bc Q hits everything BB folded (lot of Qx). -BU should bet

Answer 116

e.g. SB vs BB flop: Kh9h8s B33-C turn: 8h ? UNFAVORABLE -Paired middle or bottom card (disaster for cbettor) -flush runout (disaster for BU) -build a stronger checking range on bad runout for cbettor OOP, can always check/raise check/call

Answer 117

e.g. BU vs BB flop: 8d7d3s X-B33-C turn: 5c X-? NEUTRAL Turn world is on average favorable for IP due to nut advantage, but below average turn card evens it out

Answer 118

e.g. BU vs BB flop: Js6d3d X-B33-C turn: Kc X-? FAVORABLE, frequency goes up to 70% often w/ B75 -BB must fold 43% (overfold compared to alpha) so fold equity for all bluffs is high. -KQ must value bet, JThh can value bet, 99 must check, Draws bluff very often, trash bluffs often)

Answer 119

No we show restraint. BU has range disadvantage but will survive in EV due to large nut advantage and benefits of position. Average turn frequenciess 45-50%, in neutral worlds this goes down to 35% B75. e.g. BU vs BB flop: Js6d3d X-B33-C turn: 4s X-? QhQc must value bet, AsJc can value bet, QhJh must check, Q8 draws bluff a little more often than range, Kd8s Semi-trash can bet esp when block both flush draw, 9h7h trash (don't bluff while blocking folding range)

Answer 120

YES we're picky in unfavorable worlds -CHECK AT HIGH FREQUENCY and protect checking range in unfavorable world -value bet very strong hands -strict with bluff requirements e.g. SB vs BB flop: Ac6h3c B33-C turn: 6c ? -nightmare turn for SB, SB EV is 48%, SB bets only 20% of time for B75 -after SB bets, they polarize since only 20% means shedding bad hands don't have to value bet anything here! can value bet AsQs, must check AhTh, JsTc draws bluff sometimes, Th8h (trash) never bet.

Answer 121

-A is not always beneficial to flop c-bettor, (such as in very wide range encounters where PFC will call small cbet w/ a lot of Ax combos) -T J Q K turn is more favorable for cbettor than A in general since those were folded more to cbet, but not A-high (sizing and board dependent) -A turn can kill overpair advantage and BB catches up. e.g. SB vs BB flop: Ac6h3c B33-C turn: 6c ? -turns: Q is great, 7 is greatest at 66% compared to A at 55% since trips on the board gives advantage to overpairs. -A kills overpair advantage!

Answer 122

Trap more OOP - IP flop cbettor, turn checking range should be capped but bolstered by some high equity non-nutted hands (call these Tier 2 hands) - OOP flop cbettor, turn checking range should be uncapped and even check some nutted hands (compare bet to checkraise!!)

Answer 123

a) UTTER TRASH (0 overcards) in Amazing worlds b) SEMI-TRASH (1 overcard) in Favorable worlds c) MARGINAL DRAW (bad gutters, 2 overcards, 1 over flush draw blocker) in Neutral worlds d) -DECENT DRAW (Good Gutter, 2 overcards) in Unfavorable worlds e) PREMIUM DRAW (OESD, flush draw) in Awful worlds UNMADE BARRELABILITY IS LINEAR W/ UNMADE HAND CATEGORY STRENGTH

Answer 124

OESD or flush draws (8-outs or better) are PREMIUM. Bluff barrel PREMIUM DRAWS in ALL WORLDS

Answer 125

Good Gutter- DECENT Good 2 Overcards- DECENT Bluff barrel DECENT DRAWS in ALL BUT WORST WORLDS

Answer 126

Bad Gutter- MARGINAL Bad 2 overcards- MARGINAL 1 Over w/ flush draw blocker- MARGINAL Bluff barrel MARGINAL DRAWS in NEUTRAL & BETTER WORLDS

Answer 127

1 Overcard- SEMI-TRASH Bluff barrel SEMI-TRASH in FAVORABLE/BEST WORLDS

Answer 128

No Overcards- TRASH Bluff barrel TRASH in BEST WORLDS ONLY!

Answer 129

-The opportunity to make a bet after the OOP preflop aggressor checks the flop. SB vs BB SRP flop: xxx X-? by float betting, you polarize range when you can check behind

Answer 130

The Linearization Pitfall for float betting is when you bet hands from top down (make a linear range) and shy away from low EV bluffs which are a staple of a betting range in all spots which are not HORRIBLE for range -gotta bluff -don't skew to value so much DON'T JUST CHECK DOWN IN WIDE SPOTS WHERE NO ONE HAS ANYTHING LIKE LIVE DOES

Answer 131

Don't auto bet every draw since most will be indifferent between bet and check. CHECK HAS BENEFITS TOO

Answer 132

Focusing too heavily on the branches in the tree where we get outdrawn and failing to protect checking range as a result. Checking behind ranges in float bet opportunities are some of the most unprotected in the whole game tree so good players will expect this leak. NOT OK AS BASELINE STRATEGY

Answer 133

On low flops equities run very close together because the player who is behind almost always has significant redraw. On low flops (YOUNG EQUITY AND LOW) float betting you can MIX BAG IT for VALUE, BLUFF, DENIAL. There is a large boost of denial to get and this pushes thinner value bets and flimsy bluffs over the line of being optional e.g. SB vs BB w/ K5dd flop: 7h7s3c x-? -when we B75 (gotta polarize) w/ K5dd we get called by worse like QJhh & fold out better like K9dd & fold out live stuff like Q8ss. ANY LOW BOARD, SB vs BB a lot of mixed bag betting w/ B75

Answer 134

MIXED BAG means you can bet for VALUE, BLUFF, DENIAL ANY LOW BOARD, SB vs BB a lot of mixed bag betting VALUE, BLUFF, DENIAL On low flops (YOUNG EQUITY AND LOW) you can MIX BAG IT for VALUE, BLUFF, DENIAL e.g. SB vs BB flop: 7h7s3c x-? -when we B75 (gotta polarize) w/ K5dd we get called by worse like QJhh & fold out better like K9dd & fold out live stuff like Q8ss. -Hand like AhTs can bet for Value/Denial (Get value from worse and get worse hands to fold) -Hand like Q6hh can bet for Bluff/Denial (get better hands to fold and worse hands to fold)

Answer 135

Equities run further apart. If ahead, you're very far ahead or opponent has too much equity to fold anyway (flush draws etc.). On these high flops, simplify again to strat of infrequent big bets since we have NA but not RA after OOP checks. e.g. AhQd6h SB vs BB X-? infrequent big bets, Q7ss would be a check (not enough purpose to bet) K8ss is a check too (not enough purpose for betting)

Answer 136

We play semi-polarized w/ B75. We bet more polarized hands at higher frequency but still bet many depolarized hands since denial is prominent here. Solver chooses to B75 54%, B33 0%, and check 46% (semi-polarized)

Answer 137

Play a fully polarized strategy. (Equities run far apart on higher flops) texture is less favorable for BB so bet less. There is less denial to gain by betting. Nut advantage is a little smaller so solver is torn w/ small amount of b33 (3%). simplify to B75 as it fits framework more clearly

Answer 138

fully polarized (equities run further apart on high flops) since range and nut disadvantage. 86 is mediocre hand that is not low enough equity to bluff, so fits right into checking rangefully polarized since range and nut disadvantage. 86 is mediocre hand that is not low enough equity to bluff, so fits right into checking range

Answer 139

Semi-polarized (equities very close on low flops due to redraw potential of all hands), J8dd is mediocre but good enough to bet in this favorable world. Fold equity you garner on lower boards is much more useful so it fits as a bet

Answer 140

Polarized (high flop, equities far apart), AcJs does not seem good enough to fit into a fully polarized strategy on first sight but also seems good enough for value and that's because it's an OPTIONAL BET

Answer 141

Semi-polarized (more merged on low flop where equities run closer due to redraw). Our range is denser in pocket pairs and less dense in unpaired holdings so we wield small range advantage here. allows us to bet quite often and quite merged. SB has large nut advantage from overpairs that they can check so it keeps BU sizing small. MIXED BAG SPOT -villain has a lot of high cards so denial is again a significant boost that lets medium equity hands bet 7s7c included, and AsQd is in value/denial kinda world that can still check optionally (mixed bag)

Answer 142

Polarized. SB is in slightly favorable world, and denial is not a benefit on this board, so BB should not bet mediocre hands into it. Hands like 99 or TT are too thin for value and do not gain much from denial since villain only folds hands that are very dead anyway like Ah4h. -build very high equity value range which allows us to use only large bets -do a lot of checking behind otherwise -B60 more preferred -CLEAR VALUE AND CLEAR BLUFFS -AdQd bet -Ad5d bluff

Answer 143

favorable, in polarized strategy with big bets (high card means equities run further apart). value threshold at good top pair+ so this is good enough to put as a mix.

Answer 144

semi-polarized, mergy (equities closer on low board due to redraw), can bet at higher frequency w/ benefit of denial purposes with mixed bag. B33 pure (lower the pair, higher the denial factor)

Answer 145

polarized spot (high cards, equities further apart). no benefit of denial, board better for SB. uses large bet size but probably checks most of time since mediocre pair K high, J high, T high, flops the most cbet n SB vs BU 3bet pots since SB has so many more of those cards in their 3bet range than BU has in calling range. SB has a lot of offsuit broadways 3bet so those boards are great for them.

Answer 146

Very neutral world. Semi-polarized as a result (equities run close in monotone flop). Should bet w/ benefit of denial as is mixed bag area.

Answer 147

K high, J high, T high, flops the most cbet n SB vs BU 3bet pots since SB has so many more of those cards in their 3bet range than BU has in calling range. SB has a lot of offsuit broadways 3bet so those boards are great for them. Beware of Q as PFC of 3bet will have way more AQ as the top of their range.

Answer 148

Very neutral world. Semi-polarized as a result (equities run close in monotone flop). Should bet w/ benefit of denial as is mixed bag area.

Answer 149

Very neutral world. Semi-polarized as a result (equities run close in monotone flop). Should bet w/ benefit of denial as is mixed bag area.

Answer 150

Very neutral world. Semi-polarized as a result (equities run close in monotone flop). Should bet w/ benefit of denial as is mixed bag area.

Answer 151

Water Analogy for wide ranges: Still Lake- extremely difficult board to connect with like 6d6h2c9c4s . unnaturally innocuous. Drastically promote the strength of absolute hand rankings and don't interact with much of either players range. things stand out and are clear and more impactful, pair is incredibly strong. EASY TO HIT, HANDS BETTER THAN NORMAL Choppy Sea- textures are average. e.g. Ts7s2cQd6h. Relative hand strength can be estimated w/ board offering medium amount of range interaction. other stuff is going on so decent pair isn't great and isn't clearly great. MEDIUM EASY TO HIT, HANDS ARE SAME Tsunami- board invalidates pair or even two pair. e.g. Td9d6s8cJc. Turns value bets into check and checks into possible bluffs. HARDEST TO HIT, HANDS ARE WORSE THAN NORMAL AK in above still lake board is a mix (quite strong) AK in above choppy sea board is likely a check (moderate) AK in above tsunami turns value bets into check and checks into possible bluffs (could be a bluff)

Answer 152

Effect 1- Turn Flush Draw Removal as the Aggressor Effect 2- Giving Up Relevant Busted Flush Draws Effect 3- Raising Flop, BDFDs and Dead Suits Effect 4- Flush Blockers when Bluffing Three Flush Rivers Effect 5- Blocking the Value Range when Bluff-Raising the River

Answer 153

Block flush draw cards when bluff barreling the turn. Flush draw is very common continue so try to block it when bluffing!

Answer 154

a) QcTh- BLUFFS A LOT b) QdTs- CAN BLUFF SMALL AMOUNT MOSTLY CHECK c) AcJh- CHECK, even though Ac, you have a lot of showdown! CRAVE CLUBS, not other way around BB vs BU 9s3d2c X-B75 6d X-?

Answer 155

Blocking flush draws before they miss is a good thing for bluffing. After these hands have bricked on the river they give up since flush draws are no longer +EV to bluff with e.g. QsTs or Ts9s give up. So on river, blocking their missed flush draws that will give up is bad for bluffing. You want to unblock their folding range and block their calling range! Note this is neutral world where it is not mandatory to bluff all of our air, and therefore bluffing our worst blocker air will be -EV. Unblocking flush draws air can happily be your bluffs! KdQd can bluff happily as it unblocks folding range. BUT DON'T LET BLOCKERS PREVENT YOU FROM BLUFFING AIR WHEN RANGE IS FAR STRONGER THAN OPPONENTS (usually in spots where they polarize then checked where we have condensed), regardless of how negative your blockers are. Also, consider whether opponent is station or a nit first of course! Do they fold more or less? Blockers can be overrun by this fact.

Answer 156

Mistake to check air even with bad blockers here in a highly favorable world situation. must bet even Ks8s and As3s There is a huge range inequality after Cbettor IP (HJ) has declined to bet again. HJ polarized, then checked after BB condensed, so there is a huge range inequiality and extra fold equity that comes with BB's much stronger range. Ks8s and As3s actually aren't so bad of blockers anyhow in a river probe situation. IP motivated to bluff more with 1 or 2 spades but checked so less likely. blockers are dependent on action sequence.

Answer 157

When bluff-raising a flop c-bet, goal is to reduce the amount of time your opponent continues. Smaller branch is when bluff hits the nuts and gets paid. 1) On a Rainbow Board you can reduce continues by blocking the backdoor flush draws and Unblocking the dead suit. 2) On a two-tone (draw) board you can do this with suited cards which block backdoor flush draw; offsuit cards that block front door flush draw. Here you prefer to unblock the two dead suit

Answer 158

When thinly value raising a flop (e.g. top pair), you want villain to have backdoor draw he can call your raise with so we prefer to block the dead suits when not bluffing. Don't expect same for full flush draws. e.g. BB vs BU flop: X-B33-R4x Qs2s2c QJhh thinly value raises, QhJc doesn't

Answer 159

Now when river flush hits, any hand that contains a flush making card becomes a far better bluff and even a better thin value bet. e.g. BB vs HJ AhAc3h X-B33C 2s X-B75-C 8h X-? Flush blockers increase EV of bluffing KhJd bets pure, KdJS checks Flush blockers increase EV of thin value bets AdJh bets pure, AsJd

Answer 160

When you bluff-raise the river, it is not good enough to get villains bluffs to fold (if this was the goal w/ a hand that beat bluffs with you'd just call SDV and fold non-SDV, since investment is not worth it). Normally don't raise air just to beat villains air, unless you block their value range. e.g. oftentimes you can only raise river if you block a pair or sets (like low pairs blocking sets) There when you raise the river vs a very polarized range, you are always incentivized to use blockers to Villain's value range and this very often means raising pairs but always means thinking about what Villain's value range is and how to block it. e.g. BB vs HJ AsQd3c X-B33-C Qs X-B75 5h X-B75-R4x low % of time strong enough to raise, so bluffs must be chosen carefully which means consider blockers. -Ah3h can raise not a value raise, basically 95% check but could raise so optional bluff since blocks A, pocket 3 etc. -Ks3s, bluffs 50% cuz blocks KQ, blocks set of 3s -KJdd blocks KQ, QJ Bluff raising river vs a polar range is very different to normal bluffing spots because having good blockers actually trumps having low SDV.