Pre-flop math

Question 1

Overpair v. Underpair (AA v. KK)

Answer 1

81 v. 19

Question 2

Overpair v. Dominated overcards (AA v. AK)

Answer 2

92 v. 8

Question 3

Overpair v. Unsuited Undercards (AA v. 87o)

Answer 3

81 v. 19

Question 4

Overpair v. Suited undercards (AA v. 87s)

Answer 4

77 v. 23

Question 5

Overpair v. Junk (AA v. 72o)

Answer 5

88 v. 12

Question 6

Overcards v. Undercards (AK v. 78)

Answer 6

62 v. 38

Question 7

Two overcards v. Underpair (AK v. 88)

Answer 7

46 v. 54

Question 8

One overcard v. Middle pair (A5 v. 88)

Answer 8

31 v. 69

Question 9

One overcard v. Two mid-cards (A5 v. 87)

Answer 9

56 v 44

Question 10

One overcard v. Sanwiched two cards (AQ v. KJ)

Answer 10

62 v. 38

Question 11

Dominating high card v. Dominated high card (AK v. AJ)

Answer 11

73 v. 27

Question 12

Rule of 2 and 4

Answer 12

Used for equity. Number of outs multiplied by two on each street unless all in on the flop, then multiply by 4.

Question 13

Expected value

Answer 13

Add the amount subject to win to amount subject to lose on a certain play to find out this number. A positive number is positive EV. Negative number is negative EV. EV = (%W * $W) – (%L * $L)

Question 14

Implied Odds

Answer 14

Odds that while not right for the call immediately, can be “right” for future streets should the caller expect to get equal or greater the value of the extra amount spent on that call. Implied odds are dymanic and can vary based on opponent tendencies, board structure, and hole-cards.

Question 15

Equity denial

Answer 15

The act of making an opponent fold their cards, thereby denying their equity. In pre-flop actions, the equity given up is distributed among the table. When equity is denied from “better” players, the poorer players can be exploited even if they have higher equity. Thus raises for equity denial have to be carefully weighed on whether we can outplay that opponent.

Question 16

Break-even rate

Answer 16

BREAKEVEN % = RISK / (RISK + REWARD) [100/100+100]

Example: Break-even percentage for a pot of $100 with a $100 bluff is 50 percent, since we are risking $100 to win $100. An an opponent has to fold 50 percent of the time (our bluff has to work 50 percent of the time) for this to be a profitable play.

NOTE: Even though our break-even rate is 50 percent, our opponents are actually getting 2:1 odds (33 percent).