Darkened Poker

Some important stats from my poker simulator; 500,000 rounds of Texas Holdem ran 4 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	17.4246	0.62746
Pair	43.8315	24.1368
Two Pair	23.5011	33.7857
Set	4.82032	11.0415
Straight	4.61496	13.0688
Flush	3.0292	8.5155
Full House	2.58927	8.1439
Quads	0.165575	0.58964
Straight Flush	0.020625	0.07962
Royal Flush	0.00282	0.01114

The above stats are very interesting and should be memorized but they can be a little
misleading. For example only 8.5% of the hands are won by a flush, but that does not means if there is 3 flush cards on the board that only 8.5% 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, 4 handed

Hand given the Condition	% Hand
Set when pair on board	26.0416
Straight when 3 continuous on board	19.2066
Straight when 4 continuous on board	22.9567
Flush when 3 suited on board	32.6617
Flush when 4 suited on board	150.16
Full House when pair on board	11.2366
Full House when set on board	133.603
Full House when 2 pair on board	66.3106
Quads when pair on board	0.417455
Quads when set on board	16.9198

Given the above example you can see that in a 4 handed Texas Holdem game if there is 3 suited cards on the board then it is not 8.5% chance that someone has a flush but a much higher 32%.

Hope these stats help you guys survive at the poker tables.

Click here for next stats on 5 Handed

Click here for previous stats on 3 Handed

♣♥♦
Darkened Poker

Tags: Poker, Texas Holdem

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