Harrington: Probabilities

Question 1

Betting half the pot is a break-even bet if you think you’ll win ___ time in ____.

Answer 1

1 time in 3. Pot odds are 2:1, so out of 3 total, you have 1.

Question 2

It’s just you and an aggressive player behind you, left in pot. You have KdQd. Flop is 5d,3s,2c. What do you do?

Answer 2

You probably still have the best hand because flop didn’t help him and he usually plays shitty hands. So raise 1/2 pot.

Question 3

Pot odds are 6.5 to 1, you have 86suited. Should you call?

Answer 3

Yes

Question 4

Odds for flush draw (you have total of four)

Answer 4

35% for two cards left and 20% for one card.

Question 5

Pair of 7’s vs A-x

Answer 5

7’s always beat A-x except A-A

Question 6

KhJh vs bluff

Answer 6

2:1 favorite

Question 7

KhJh vs low pair

Answer 7

11:10 underdog

Question 8

Facing 4:1 pot odds against a single player:

Answer 8

You’d rarely fold because those are great odds for you, usually.

Question 9

KhJh vs A-x (not overcard)

Answer 9

6:5 underdog

Question 10

AQs v JJ

Answer 10

46 v 54

Pair is more valuable

Question 11

Higher pair versus lower pair

Answer 11

82% to win, or 4.5:1

Question 12

A,A or K,Q vs Q,Q?

Answer 12

Q,Q is 4.5 to 1 underdog

Question 13

Q,Q vs A,K?

Answer 13

Q,Q is slight favorite

Question 14

Two pair versus two higher cards

Answer 14

55 to 45 advantage to the pair

Question 15

How many ways are there to deal A,K vs Q,Q?

Answer 15

There are 16 ways to deal A,K, but only 6 ways to get a pair.

Question 16

Pair versus two lower cards

Answer 16

5 to 1

Note, if two lower cards are not a pair, they are not much worse off