odds of a paired board with 5 cards out

[MaxWeiss]

With a five card board, what is the probability of it being paired? I keep getting about 41%. Is that correct?? I read that it is 60%, but for the life of me, I don't know how. Could somebody lay out how to figure this out and what the answer is for me?? Thanks!! (Yes I did a search for this, and couldn't find it.)

[BruceZ]

[ QUOTE ]
With a five card board, what is the probability of it being paired? I keep getting about 41%. Is that correct?? I read that it is 60%, but for the life of me, I don't know how. Could somebody lay out how to figure this out and what the answer is for me?? Thanks!! (Yes I did a search for this, and couldn't find it.)

[/ QUOTE ]

The probability of the board pairing in 5 cards is 49.3%.

We can compute 1 minus the probability of no pair:

1 - (52/52 * 48/51 * 44/50 * 40/49 * 36/48)

=~ 49.3%.