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Coin Bias from Consecutive Heads

Imagine you have two coins: one is fair (with an equal chance of landing heads or tails), and the other is biased (landing heads 75% of the time). You randomly choose one coin and flip it twice. Given that both flips result in heads, what is the probability that the coin you picked is the fair one?

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Coin Bias from Consecutive Heads

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Coin Bias from Consecutive Heads

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