Odds

Question 1

Bet Size 25% (1/4 pot)

Answer 1

Pot Odds: 5-1
EQ: 17%
BE%: 20%

Question 2

Bet Size 33% (1/3 pot)

Answer 2

Pot Odds: 4-1
EQ: 20%
BE%: 25%

Question 3

Bet Size 50% (1/2 pot)

Answer 3

Pot Odds: 3-1
EQ: 25%
BE%: 33%

Question 4

Bet Size 66% (2/3 pot)

Answer 4

Pot Odds: 2.5-1
EQ: 28%
BE%: 40%

Question 5

Bet Size 75% (3/4 pot)

Answer 5

Pot Odds: 2.3-1
EQ: 30%
BE%: 43%

Question 6

Bet Size 100% (pot)

Answer 6

Pot Odds: 2-1
EQ: 33%
BE%: 50%

Question 7

How do you calculate pot odds?

Answer 7

• Risk/(Risk + Reward)
• b/(2b + 1)

Reward = original pot + bet

Question 8

How do you calculate BE%?

Answer 8

• Bet/(Bet + Reward)
• b/(b + 1)

Reward = the pot

Question 9

How do you calculate MDF?

Answer 9

MDF = 1 - Alpha = 1/(b +1)

Question 10

What is another term for BE%?

Answer 10

Alpha

Question 11

Pot Sized Raise

Answer 11

(3 * Bet) + Original Pot

Question 12

Odds: Flop -> Turn

Answer 12

(Outs * 2) + 1% if more than 5 Outs or + 2% if more than 13 Outs

Question 13

Odds: Turn -> River

Answer 13

(Outs * 2) + 1% if more than 5 Outs or + 2% if more than 13 Outs

Question 14

Odds: Flop -> River

Answer 14

(Outs * 4) - (Outs - 8) if more than 9 Outs

Question 15

Flush Draw

Answer 15

9 Outs
4.2-1
19.15%

Question 16

Straight Draw

Answer 16

8 Outs
4.9-1
17%

Question 17

Profitable call, x:y ratio form (odds against making your hand)

Answer 17

Hand odds must be lower than pot odds.

Pot odds: 2-1 (pot size bet)
Hand odds: 1.86-1 (flush draw, flop to river)

Good call, 1.86 < 2

Question 18

Profitable call, percentage form

Answer 18

Hand odds have to be greater than the pot odds.

Pot odds: 33%
Hand odds: 35%

Good call, 35 > 33

Question 19

Combinatorics

Answer 19

n!/k!(n - k)!

52!/2!(52 - 2)! -> 525150!/(21)(50)! -> 5251/2=1326

Pocket pair
4!/2!(4-2)! -> 4*3/2!=6

Question 20

Poker matrix

Answer 20

• 169 distinct hands
• 78 suited hands - 78*4=312 combos
• 78 offsuit hands - 78*12=936 combos
• 13 pocket pairs - 13*6=78 combos

Question 21

Backdoor Flush Draw - BDFD

Answer 21

(Outs / unseen cards)*((Outs -1) / (unseen cards - 1))
(10/47) * (10 - 1)/(47 - 1) = 4.16%

Question 22

Backdoor Straight Draw - BDSTD

Answer 22

BDSTD on JT9 board is equal to the probability of catching a Q or 8 on the turn for eight more Outs, plus the probability of catching a K or 7 for four more Outs.

Backdoor open ended straight Draw % = (8/47)(8/46)= 2.96%
Backdoor gunshot straight Draw % = (8/47)(4/46)=1.48%
BDSTD % = 2.96% + 1.48% = 4.44%

Question 23

Ratio to percentage

Answer 23

Add the two numbers in the ratio together. Then divide 100 by that number

4 to 1 odds, so 4 + 1 = 5
100 / 5 = 20%

Question 24

Percentage to Ratio

Answer 24

Divide 100 by the percentage. Then take 1 away from that number and you will have x to 1

Flush draw: 19.6% (let’s call it 20%)
100 / 20 = 5.
5 - 1 = 4.
So the ratio is 4 to 1.