You have one fair coin and two bent ones. A flip of a fair coin has a

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You have one fair coin and two bent ones. A flip of a fair coin has a 50-50 chance of landing heads (H). The odds for the outcome H of the bent coins are 30-70 and 90-10. A coin selected randomly is flipped. Determine the posterior probabilities head and tails after one flip. After two flips.

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