"If
1) there were two possible hands on the river,
2) the probability of you getting the top hand is P1,
3) the probability of your opponent getting the top hand is P2, and
4) those probabilities are independent,"


JRChan, wouldn't the possibility of you winning be P1? Since to win you have to get the top hand? Then P1 + P2 + P3 = 1, with P3 being the possiblity of a tie.

- Tony