1. The game is Hold’em with you and three opponents staying in from the beginning of the hand to the end.
2. Upon seeing the river card and before seeing any of your opponents’ hole cards, you are absolutely positive that you had the best hand on the flop and turn. You are also sure that now you have a hand worse than all three of your opponents.
List all possibilities for your hand that meet the above conditions. What are the flop, turn and river for each possibility?
Solution
The only answer is your hand is 3/3, the flop is 223, the turn is a 2, and the river is a 2 making the final board 22322.
On the flop and turn your hand is three’s full of deuces. After the river card is dealt, it is clear your full house was the best hand on the turn and flop since the only possible hands that could beat you required the river and/or the turn card deuce to be in the winning hole cards. On the end the winning hand is the quads on the board plus the highest kicker. You have the lowest possible kicker and there is only one other 3 and no 2s left for the other players’ hands. Therefore, all three have a higher kicker and better hand than you.
