re: Monty Hall Spinoff Thread: St. Petersburg Paradox

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You have a 1/2 chance of winning $1, a 1/4 chance of $2, a 1/8 chance of $4, and so on.

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That isn't right.

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Actually, taken as a series of flips in total, it is.

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Each flip of the coin is 50/50.

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That is true for each individual flip but not the whole series in total.

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As the chance of continuing the game decreases at the same rate the amount of winnings increases, the expected value of such a game is infinite.

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No it is the same odds for every flip.

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Perhaps the semantics of his statement are not correct but his meaning is. He is talking about the odds that the game goes that many consecutive flips, not the odds that the individual flip that time change.