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6. You are given a large bin of coins. You have prior belief that 80% are fair coins, but 20% come up heads 2/3

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6. You are given a large bin of coins. You have prior belief that 80% are fair coins, but 20% come up heads 2/3 of the time. If you are given a coin at random and flip it 10 times, how many tails would you need to get to be 90% confident that it is a fair coin based on a Bayesian approach?

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