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Let p, and 1/ be two probabilities on a countable set S. A fair coin is ipped and if it lands heads then a point

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Let p, and 1/ be two probabilities on a countable set S. A fair coin is ipped and if it lands heads then a point is sampled from p5, while if it lands tails a point is sampled from 1/. You are told which point was sampled and must decide whether the coin landed heads or tails. Show that your chance of being correct is %+ % \"PlVIITv

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