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Wednesday, October 18, 2017    

 

 
Poker Odds

The chances of being dealt a specific hand in five cards are as follows:

Hand Number of Ways
Hand Can Be Made
Odds Against As %
Royal Flush 4 649,740 to 1 .00015%
Straight Flush 36 72,193 to 1 .0014%
Four of a Kind 624 4165 to 1 .024%
Full House 3,744 694 to 1 .144%
Flush 5,108 509 to 1 .196%
Straight 10,200 255 to 1 .392%
Three of a Kind 54,912 47 to 1 2.11%
Two Pairs 123,552 21 to 1 4.76%
One Pair 1,098,240 2.4 to 1 42.37%
No Pair 1,302,540 2 to 1 50.25%
Total 2,589,960    

The following is a table of some basic, yet quite useful Texas Hold'em probabilities.  For many more odds and statistics for Hold'em, Five Card Draw, Seven Card Stud, Lowball and Razz, visit poker guru Mike Caro's web site.

The probability that... Odds Against As %
Before the flop, you will hold:    
A Pair
Suited Cards
2 Aces
Ace/King
At least 1 Ace
 
16 to 1
3.25 to 1
220 to 1
81.9 to 1
5.70 to 1
5.88%
23.53%
0.45%
1.21%
14.93%
If, before the flop, you hold:    
A Pair, at least one more of that kind will Flop
No Pair, you will pair at least one of your cards on the Flop
Two suited cards, two or more of that suit will Flop
 
7.51 to 1
2.08 to 1
7.48 to 1
11.76%
32.43%
11.79%
If, after the flop, you have:    
Four parts of a Flush, you will make it
Four parts of an Open-end Straight-Flush, you will make a Straight-Flush
Four parts of an Open-end Straight Flush, you will make at least a Straight
Two-Pair, you will make a Full House or better
Three-of-a-kind, you will make a Full House or better
A Pair, at least one more of that kind will turn up (on the last two cards)
 
1.86 to 1
10.9 to 1
0.85 to 1
4.97 to 1
1.99 to 1
10.9 to 1
34.97%
8.42%
54.12%
16.74%
33.40%
8.42%
Miscellaneous:    
If you have suited cards before the flop and stay through the river, exactly three more of your suit will turn up

If you have a pair before the flop and stay through the river, at least one more of your kind will turn up
 
16.3 to 1


4.21 to 1
5.77%


19.18%
 

 

 
 

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