World Of The Unknown

Question 1

Hero: 8d Jh
Villain: AA
Board: 5c Qd Kh Ah
How many combinations in villain’s range?

Answer 1

3

Question 2

Hero: 3c 3d
Villain: AJ
Board: Jd 8d 2h As
How many combinations in villain’s range?

Answer 2

9

Question 3

Hero: Ks 9s
Villain: JJ
Board: 4h 8h 6d Ac
How many combinations in villain’s range?

Answer 3

6

Question 4

Hero: 5c 7c
Villain: AJ, 66
Board: Jh 6h 9h 2d
How many combinations in villain’s range?

Answer 4

AJ = 12, 66 = 3
Total = 15

Question 5

Hero: Ad Js
Villain: AA
Board: 7h 5h 2c 4c
How many combinations in villain’s range?

Answer 5

3

Question 6

Hero: 7c 6c
Villain: ATs
Board: Qs 8h 7d Kc
How many combinations in villain’s range?

Answer 6

4

Question 7

Hero: 6h 7s
Villain: QQ, Ad 3d
Board: 4d 7d Qd 2s
How many combinations in villain’s range?

Answer 7

4

Question 8

Hero: 5h 6h
Villain: 99, QJ
Board: 8d 9d 2h Kh
How many combinations in villain’s range?

Answer 8

99 = 3, QJ = 16
Total = 19

Question 9

Hero: Qd Kh
Villain: AJ
Board: Jd 2h Tc Jc
How many combinations in villain’s range?

Answer 9

8

Question 10

Hero: 6c 7d
Villain: AQ, 88
Board: Qc 8d 4d Ts
What percentage of time does villain have a set?

Answer 10

AQ = 12, 88 = 3
Total = 15
3/15 = .2 or 20%

Question 11

Hero: Js Jd
Villain: 78, AT
Board: 5d 6c Th
What is hero’s equity assuming we’re all-in?

Answer 11

Against AT, we have about 80% equity. Against 78, we have about 68% equity. 12 combos of AT, 16 of of 78. Latter “weighs” a bit more. Middle of 80 and 68 is 74. Slide it more towards 68. Low 70s. Actual value 71.

Question 12

Hero: Js As
Villain: QQ, KK, 55, 44
Board: 5d 4s Ts
What is hero’s equity assuming we’re all-in?

Answer 12

We have a lot of outs against his big pairs, but we’re crushed by his sets. Against the big pairs we have about 45% equity (against half of the pair hands we’ll only have 8 flush outs). Against the sets we have about 25% equity. 12 combos of big pairs, 6 combos of sets. Pairs twice as likely. We have to go 2/3 way from 25 to 45. Upper 30s. Actual value 39.

Question 13

Hero: 3s 3h
Villain: KT, TT, 55, Ad Kd
Board: 5d 3d Ts
What is hero’s equity assuming we’re all-in?

Answer 13

Villain’s range divides into 3 categories. KT has 6% equity. TT and 55 have 96% equity. There are 12 combos of KT, 6 of sets and 1 for the AK of diamonds. KT twice as likely as sets. 2/3 from 5 to 95 about 60. With the AK estimate his equity as low 60s. Ours as high 30s.

Question 14

Hero: Qh Th
Villain: AK, AT, 66, 78
Board: 5d 6d Ts Js
What is hero’s equity assuming we’re all-in?

Answer 14

Villain’s range divides into two categories. AK and 78 are drawing. AT and 66 have us in terrible shape. AK has 9 outs for 21% equity, and 78 has 8 outs for 19% (higher than 4/2 rule due suited diamond possibilities). Both these hands equally likely, so avg is 20%. There are 32 combos where our equity is 80%. Against AT, we have three outs for 6% equity. Against 66 we are drawing dead. 8 combos of AT, 3 of 66. Combine for estimated equity of 4%. So, we have 11 combos with 4% equity and 32 combos with 80%. So 3/4 the way from 4 to 80. Lower 60s.