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Probability Basicshard
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We have a bag containing three coins: one is double-headed (both sides are heads), one is double-tailed (both sides are tails), and one is a fair coin. A coin is chosen at random from the bag and flipped twice. Let H1H_1H1​ be the event that the first flip is heads, and H2H_2H2​ be the event that the second flip is heads. What is P(H2∣H1)P(H_2 | H_1)P(H2​∣H1​)?