With both hands known we can calculate your equity against 8 7 and J T – you really had 33.3% equity. Neither of these numbers (61.4% and 68.2%) correspond to your real equity.

Again we are unlucky – now we lost when we had 68.2% equity. Instead let us say the other opponent bets and the player with 8 7 folds. If the river was instead the 2, the hand might have ended very differently. But we weren't against his hand alone, and – most importantly - the specific river card we saw changed what hand was shown down. If we calculate our equity on the turn with our pair of aces against his hand alone, we find we would have 61.4% equity. At showdown you lose to 8 7 who rivered his flush. The river is the 2, one opponent bets and the other opponent folds. Imagine you get all in on the turn with the A and A against two opponents who still have money left to bet. Here is an example that shows how far off the numbers can be: We believe that showing no equity is more accurate than showing very wrong numbers. In the side pot A is 44.2% to win and B is 55.8% to win. For A and B we must look at the other pot. So we can calculate C's All-in EV directly: 17.2% times 60 big blinds is 10.32 big blinds, subtracted from 20 big blinds is -9.68 big blinds (17.2% * 60 - 20). In the small pot, A is 36.6% to win, B is 46.2% to win, and C is 17.2% to win. In this case we have two pots, one pot with 60 big blinds in it that all players can win, and one pot with 160 big blinds in it that only A or B can win. A and B have 100 big blinds and C has 20 big blinds. Imagine we have an all-in pot with three players, A, B and C. If the players have differing stack sizes, and that creates multiple all-in pots, each pot's equity is calculated separately.įirst we calculate for the main pot for all players who are all-in for that pot, then we calculate the first side pot for those who are all-in for that pot, and so on. If all players have the same stack size, it is calculated as above for each player.

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