Jan 20 2009
3-5-7 Poker: The 3 Card Hand
So let’s go a little more in depth on the 3 card hand. We’ll talk about the payouts, the probabilites, etc.
To start with, with 3 cards out of a 52 card deck, there are 22100 different possible combinations.
Of those 22100 possibilities, 48 are straight flushes, 52 are three of a kind, 720 are straights, 1096 are flushes, and 3744 are pairs. That leaves 16,440 possibilities that are nothing.
Now, percentages. Straight flush and three of a kinds each have less than .5% probability. Straights are just over 3%, flushes are just under 5%, and pairs are just under 17%. That leaves 74% of hands as nothing. Which means that aproximately 1 out of every 4 hands, you should win something. What will you win? Below is the pay table for the three card hand:
Straight flush-40
Three of a kind-25
Straight-6
Flush-4
Pair-1
Hopefully this satisfies the math/statistics folks.
