Darkened Poker

Some important stats from my poker simulator; 500,000 rounds of Texas Holdem ran 7 handed all the way to the river.  This chart gives you a good idea of the frequency of each rank of hand coming up and its % chance to be winning at show down.

Texas Holdem hand types and their win rate at showdown

Hand type	% of hands	% of rounds won
High	17.4097	0.01446
Pair	43.8459	13.3996
Two Pair	23.4786	28.4731
Set	4.82599	15.0132
Straight	4.62155	17.9528
Flush	3.03254	11.8337
Full House	2.59512	12.1297
Quads	0.167151	1.0265
Straight Flush	0.02097	0.13984
Royal Flush	0.00252	0.01708

The above stats are very interesting and should be memorized but they can be a little misleading. For example only 11% of the hands are won by a flush, but that does not means if there is 3 flush cards on the board that only 11% of the time someone will have one. A poker player really also wants to know that given that the condition for a flush is meet what is the chance that someone at the table has that hand.

Texas Holdem, % chance that someone has the hand when board supports it, 7 handed

Hand given the Condition	% Hand
Set when pair on board	45.559
Straight when three continuous on board	33.6358
Straight when four continuous on board	40.2298
Flush when three suited on board	57.2209
Flush when four suited on board	262.452
Full House when pair on board	19.7023
Full House when set on board	233.955
Full House when two pair on board	115.903
Quads when pair on board	0.744857
Quads when set on board	29.8557

Given the above example you can see that in a 7 handed Texas Holdem game if there is 3 suited cards on the board then it is not 11% chance that someone has a flush but a much higher 57%.

Hope these stats help you guys kill the poker tables.

Click here for next stats on 8 Handed

Click here for previous stats on 6 Handed

♣♥♦
Darkened Poker

Tags: Poker, Texas Holdem

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