Bill Chen Type Pure Math/Poker Problem

[David Sklansky]

This will not help your poker game. And the question has probably been asked and answered somewhere out in math land. But just in case it hasn't, it seems that it is fundamental enough that someone should take a crack at it.

N players ante x dollars each. Each player is dealt a card with a real number between zero and one. Without seeing what anyone else does, each player must fold or bet y dollars. Best hand wins the pot. If everyone folds they all get their money back. In terms of n, x and y, how high a number do you need to be dealt to you, to bet the y bucks?