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Problem 33. Using a biased coin to make an unbiased decision. Alice and Bob want to choose
between the opera and the movies by tossing a fair coin. Unfortunately. the only available coin is
biased (though the bias is not known exactly). How can they use the biased coin to make a
decision so that either option (opera or the movies) is equally likely to be chosen?

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  • 1. Problem 33. Using a biased coin to make an unbiased decision. Alice and Bob want to choose between the opera and the movies by tossing a fair coin. Unfortunately. the only available coin is biased (though the bias is not known exactly). How can they use the biased coin to make a decision so that either option (opera or the movies) is equally likely to be chosen?