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Problem of Points...I Get...You Get...

Suppose gamblers A and B agree to play a series of fair dice games until someone has won six games.

At the start, they each wagered the same amount of money, as the prize for the winner. For some reason, the series of games has to be ended prematurely, at the point where gambler A has won five games and gambler B three games.

How should the stakes be divided fairly at this stage?


Source: In 1654, gambler Chevalier de Méré posed this problem to Blaise Pascal, and it led to the start of probability.