Originally Posted by NewOldGuy
Did you want the chance that at least one of the 3 players has a pair after the flop or that all 3 of them have a pair after the flop?
The chance a player with random hole cards has a pair after the flop is ~53%. This includes any hand with at least one matching rank (pair, trips, 2 pair, full, quads).
1 - (44/47 * 40/46 * 36/45 * 32/44) = 52.6%
We can then approximate the chance at least one of 3 players hits using:
1 - (1-.526)^3 = ~89%
how about, after 3 other players seing the flop, but 2 fold to a bet which let's say they didn't have anything on a flop not even a low pair, and it's a heads up me vs other player what are the chances of him only having a top pair? not inluding trips 2 pairs... for example on a flop K Q 2 rainbow and I have AQ and chances of him having anything with K and/or AA? vs a random hand/player