Odds of board being paired somewhere along the way in HE

[1111]

I did a quick search and couldn't find an answer. How often will the board pair at any point in the hand. Thanks a bunch.

[BruceZ]

[ QUOTE ]
I did a quick search and couldn't find an answer. How often will the board pair at any point in the hand. Thanks a bunch.

[/ QUOTE ]

The board is almost even money to pair in 5 cards. This is a good proposition bet. I've gotten people to pay pay me 2-1 for a pair with the happy comment "that sounds about right".

P(no pair) = 52*48*44*40*36 / (52*51*50*49*48) = 50.7%.

[1111]

Thanks for the response, BruceZ. I was playing at a table on party and a guy was complaining that the board always paired online but only "2 or 3 times a night in my live games." I didn't realize it occured so often.

[BruceZ]

Of course that only considers hands that actually go to the river. A smaller percentage would be paired if you consider all hands.