Feb 21 2009
3-5-7 Poker: The 5 Card Hand
Now that we’ve looked at the 3 card hand let’s take a look at the 5 card hand in a similar way. To start with, with 5 out of 52 cards, there are 2,598,960 hands. Of those, 4 are royal flushes; 36 are straight flushes; 624 are 4 of a kinds; 3,744 are full houses; 5,108 are flushes; 10,200 are straights; 54, 912 are 3 of a kinds, 123,552 are 2 pair, 760, 320 are pairs of sixes or better, and the remaining 1,640,460 are nothing.
Now on to percentages. That means there are: less than 1% each of getting a royal, straight flush, four of a kind, full house, flush, or straight; about a 2% chance of getting a three of a kind; just under 5% of getting two pair; just under 30% of getting a pair of 6’s or better; and about a 63% chance of getting absolutely nothing. So if you get the slightly more than 1 in 3 hands that pays, what can you expect?
Royal-500
Straight Flush-100
Four of a Kind-40
Full House-12
Flush-9
Straight-6
Three of a Kind-4
Two Pair-3
Pair (6’s or higher)-1.
Overall, this particular hand gives the house slightly over a 4% advantage.
