Question: A player challenges a small casino for a 1 million dollars stake double-or-bust game on European Roulette. The player repeatedly makes the red/black bet

A player challenges a small casino for a 1 million dollars stake

A player challenges a small casino for a 1 million dollars stake double-or-bust game on European Roulette. The player repeatedly makes the red/black bet with equal amount. The player and the casino agree that the game stops when the player either loses 1 million dollars or wins 1 million dollars. Suppose the casino wants to be 99% sure of winning, what limit should the casino place on each bet?

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