A Fair Gamble with a Possibly Loaded Coin. Suppose you have a coin for which you do not know the probability of its landing heads up. You suspect that the coin is loaded and that the probability of heads differs from 1/2.
(a) Can you emulate a fair coin by flipping the possibly biased one?
(b) Can you emulate the rolling of a fair die by flipping the possibly biased coin?
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