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Lessons

Texas Hold'em Probablities



Probability

Percentage 
Chance %

Odds Against

 

 

 

 AA or KK preflop

0.9%

1 in 111

 AA, KK, QQ, JJ  pre-flop 

1.8%

1 in 56

 Dealt ANY Pair  Pre-Flop

6%

1 in 17

 Dealt suited cards pre-flop

24%

1 in 4.2

 Dealt Suited Connector

4%

1 in 25

 Deal AK Suited

0.3%

1 in 332

 Dealt any AK

1.2%  

1 in 83

 Dealt any Ace pre-flop

16%

1 in 6.25 

 AK and hitting A or K by River

50%

1 in 2

 QQ versus AK and wins

54%

1 in 1.78

 Dealt 2 cards J or higher

9%

1 in 11

 Completing flush with 4 on flop

39%

1 in 2.6

 Open Ended Straight-Flush completing to flush or straight by river

54%

1 in 1.85

 Open Ended Straight completing

34%

1 in 2.29

 Two Pair on flop Improving to Full House 

17%

1 in 5.8

 Three of a kind on flop improving to Full House or Quads

37%

1 in 2.7

 Pocket pair improving to three of a kind on flop

12%

1 in 8

 If you have suited cards, two will flop

11%

1 in 9

 One pair on flop improving to two pair or three of a kind by river

22%

1 in 4.7

 Pocket pair improving to three of a kind after flop

9%

1 in 11

 Two over cards improving to a pair by river

26%

1 in 3.9

 Two over cards and a Gutshot improving to pair or straight

43%

1 in 2.3

 Gutshot straight draw hitting by river

17%

1 in 6

 Gutshot and pair improving to two pair or better

39%

1 in 2.6

 Backdoor Flush hitting ( 3 to a flush on flop)

4%

1 in 24

 Runner Runner Straight ( 3 to a str8 on flop)

1.5%

1 in 68

 Backdoor Flush and One Over Card improving to that pair or flush

17%

1 in 6

 Catching Ace on turn or river

13%

1 in 8

 Backdoor Flush and Gutshot improving to either one by river

21%

1 in 4.8

 Backdoor Flush And Two Over Cards improving to pair or flush

30%

1 in 3.3

 5 players on flop, that someone has an A when one is on board 

58%

1 in 1.7

 4 players on flop, that someone has an A when one is on board

47%

1 in 2.1

 3 players on flop, that someone has an A when one is on board

35%

1 in 2.9

 2 players on flop, that someone has an A when one is on board

23%

1 in 4.3

 3 of one suit on board and another coming if you have one

39%

1 in 2.6

 5 players in with board paired, chance of one of them having it

43%

1 in 2.4

 4 players in with board paired, chance of one of them having it  

34%

1 in 3

 3 players in with board paired, chance of one of them having it

26%

1 in 4

 2 players in with board paired, chance of one of them having it

17%

1 in 5.8