mathematical probabilities

[PShabi]

This is from Ken Warren Teaches Texas Hold em:
(He's got a great section on probability and stats)
1,326 ways to be dealt a two card hand.

1 in 52 odds for the first card, 1 in 51 for the second. 52 x 51 = 2,652. 2652 / 2 because cards can come in either order (i.e. AJ or JA).

If you disregard suits, you can make 169 different two card hands.

Of 1,326 possible hands, 78 are pairs. 1,326/78 = 17 so you will be dealt a pocket pair 1 out of 17 times.

The rank does not increase, nor decrease the odds of you holding the hand. You have a 220 to 1 shot of being dealt any specific hand on the next deal.

I'm not gonna give you every stat in the book, but let me tell you, there is more than enough to do a high school science project. I may have given you enough here.

Here's one more for good measure: You have two different hole cards, you'll flop a pair 40.408% of the time (don't know the math, just the facts). That's 1.47 to 1. 1/3 of those will be on the board, and not one of your hole cards. You flop a pair with one hole card 26.939% of the time, or 2.71 to 1.


Happy Birthday Kid.