Random Cards???

I would love any thoughts on figuring out the probability of your hole cards appearing on the board in the subsequent hand. The cards need not be of the same suit. I am curious to compare the odds of that happening to a collection of hands played.
Thank you all you beautiful souls.

[BruceZ]

[ QUOTE ]
I would love any thoughts on figuring out the probability of your hole cards appearing on the board in the subsequent hand. The cards need not be of the same suit. I am curious to compare the odds of that happening to a collection of hands played.
Thank you all you beautiful souls.

[/ QUOTE ]

New counting technique here:

If you hold a non-pair, the probability that both ranks will appear on the next hand's 5-card board is:

1 - [2*C(48,5)- C(44,5)] / C(52,5) =~ 10.0%.

The probability that both ranks will appear on the next hand's flop is:

1 - [2*C(48,3) - C(44,3)] / C(52,3) =~ 3.4%.

It's really just inclusion-exclusion.

Bruce that is wonderful I can't wait to plow through my hands.
Thank You.