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Mathematics, 18.12.2021 20:10 miko96

You are holding a set of 3 balls. Each ball is thrown one at a time randomly into one of three buckets: bucket A, bucket B, or bucket C. For each ball that lands in bucket A, you flip a fair coin, resulting in a head or a tail. At the end of the experiment, there were exactly two heads that appeared. Determine the probability that bucket A contains three balls. You do not need to simplify your answer.

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