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Design a game between alice and bob

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Let α ∈ [0, 1] be an arbitrary number, rational or irrational. The only randomizing device is an unfair coin, with probability p ∈ (0, 1) of heads. Design a game between Alice and Bob so that Alice's winning probability is exactly α. The game of course has to end in a finite number of tosses with probability 1.

Reference no: EM132851718

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