Probability Tables

The probability that you'll be dealt... Expressed as a percent is... Expressed as an odds...
pocket aces.

any pocket pair.

AK suited.

AK offsuit.

AK suited or offsuit.

any two suited cards.

suited connectors.

either pocket aces or pocket kings.

either pocket aces, pocket kings or AK.		 .45%

5.9%

.30%

.90%

1.2%

24%

2.1%

.90%

2.1%		 220 to 1

16 to 1

331 to 1

110 to 1

82 to 1

3.3 to 1

46 to 1

110 to 1

46 to 1


The probability your pocket pair improves to... Expressed as a percent is... Expressed as an odds...
a set.

a full house.

quads.		 11.8%

.74%

.25%		 7.5 to 1

136 to 1

407 to 1


The probability the FLOP will contain... Expressed as a percent is... Expressed as an odds...
three of a kind.

a pair.

three suited cards.

two suited cards.

no suited cards (rainbow).

three cards in sequence.

two cards in sequence.

no cards in sequence.		 .24%

17%

5.2%

55%

40%

3.5%

40%

56% 		424 to 1

5 to 1

18 to 1

.8 to 1

1.5 to 1

28 to 1

1.5 to 1

.8 to 1


The probability your hand improves from ___ to ___ from the FLOP to the RIVER... Expressed as a percent is... Expressed as an odds...
From a set to a full house or better.

From two pair to a full house or better.

From one pair to a set or better.

From a four-flush to a flush.

From a three-flush to a flush.

From an open-ended straight draw to a straight.

From a gutshot straight draw to a straight.

From two non-pair cards to a pair or better (overcards).

From the same pair as your opponent (but are outkicked) to a second pair.		 33%

17%

8.4%

35%

4.2%

32%

17%

24%


13% 		2 to 1

5.1 to 1

11 to 1

1.9 to 1

23 to 1

2.2 to 1

5.1 to 1

3.2 to 1


7 to 1


The probability your hand improves from ___ to ___ from the FLOP to the TURN... Expressed as a percent is... Expressed as an odds...
From a set to a full house.

From two pair to a full house.

From one pair to a set.

From four-flush to a flush.

From an open-ended straight draw to a straight.

From a gutshot straight draw to a straight.

From non-pair cards to a pair.

From a the same pair as your opponenet (bur are outkicked), to a second pair.		 15%

9%

4.3%

19%

17%

9%

13%

6%		 5.7 to 1

11 to 1

23 to 1

4.2 to 1

4.9 to 1

11 to 1

6.8 to 1

15 to 1


The probability your hand improves from ___ to ___ from the TURN to the RIVER... Expressed as a percent is... Expressed as an odds...
From a set to a full house.

From two pair to a full house.

From one pair to a set.

From four-flush to a flush.

From an open-ended straight draw to a straight.

From a gutshot straight draw to a straight.

From non-pair cards to a pair.

From a the same pair as your opponenet (bur are outkicked), to a second pair.		 22%

9%

4.4%

20%

17%

9%

13%

7%		 3.6 to 1

11 to 1

22 to 1

4.1 to 1

4.8 to 1

11 to 1

6.7 to 1

14 to 1


The probability that... Expressed as a percent is... The odds against it are...
you will hold a Pair before the Flop.

you will hold suited cards before the Flop.

you will hold 2 Kings or 2 Aces before the Flop.

you will hold Ace-King before the Flop.

you will hold at least 1 Ace before the Flop.		 5.88%

23.53%

0.90%

1.21%

14.93%		 16 to 1

3.25 to 1

110 to 1

81.9 to 1

5.70 to 1
if you have four parts of a Flush after the Flop, you will make it.

if you have four parts of an open-ended Str-Flush after the Flop, you will make a Straight-Flush.

If you have four parts of an open-ended Str Flush after the Flop, you will make at least a Straight.

If you have Two-Pair after the Flop, you will make a Full House or better.

If you have Three-of-a-kind after the Flop, you will make a Full House or better.

If you have a Pair after the Flop at least one more of that kind will turn up (on the last two cards).
 34.97%


8.42%


54.12%


16.74%


33.40%


8.42%
 1.86 to 1


10.9 to 1


0.85 to 1


4.97 to 1


1.99 to 1


10.9 to 1
If you hold a Pair, at least one more of that kind will Flop.

If you hold no Pair, you will pair at least one of your cards on the Flop.

If you hold two suited cards, two or more of that suit will Flop.
 11.76%


32.43%


11.79% 		7.5 to 1


2.08 to 1


7.48 to 1
If you begin suited and stay through seven cards, three more (But not four or five more!) of your suit
will turn up.

If you begin paired and stay through seven cards, at least one more of your kind will turn up.
 5.77%



19.18% 		16.3 to 1



4.21 to 1



Pre-Flop, Hand-To-Hand Match-Ups

Explanation of the first match-up. The player who is dealt A A will win 81.3% of the time when going against a player who is dealt K K. The player who is dealt K K will win 18.7% of the time.

Pocket Aces

A A vs. K K
81.3%   18.7%

A A vs. 6 6
79.8%   20.2%

A A vs. A K
87.9%   12.1%

A A vs. A K
92.6%   7.4%

A A vs. J T
78.3%   21.7%

A A vs. J T
82.0%   18.0%

A A vs. 6 5
76.9%   23.1%

A A vs. 6 5
80.6%   19.4%
Big Slick

A K vs. A Q
74.0%   26.0%

A K vs. A Q
69.7%   30.3%

A K vs. K Q
74.2%   25.8%

A K vs. K Q
69.9%   30.1%

A K vs. A 6
73.5%   26.5%

A K vs. A 6
69.2%   30.8%

A K vs. K 7
75.0%   25.0%

A K vs. K 7
70.7%   29.3%


Pocket Kings

K K vs. A K
65.9%   34.1%

K K vs. A K
70.0%   30.0%

K K vs. A Q
67.9%   32.1%

K K vs. A Q
71.6%   28.4%
Pocket Tens

T T vs. A K
53.9%   46.1%

T T vs. A K
57.3%   42.7%

T T vs. A 2
71.1%   28.9%

T T vs. A 2
67.4%   32.6%


Pocket Sixes

6 6 vs. A 2
69.9%   30.1%

6 6 vs. A 2
66.2%   33.8%

6 6 vs. 7 6
64.2%   35.8%

6 6 vs. 7 6
60.5%   39.5%

6 6 vs. A K
52.1%   47.9%

6 6 vs. A K
55.4%   44.6%
Jack - Ten

J T vs. 2 2
54.0%   46.0%

J T vs. 2 2
51.2%   48.8%


Other Random Odds

• If you take two suited cards, you have a 15/1 (6.4%) chance of making a flush by the river.

• With unsuited cards, you have a 53/1 (1.8%) chance of making a flush by the river.

• With 14 outs, you are about even money to improve your hand with two cards to come.