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Two statistics students were collecting data one day. One was repeatedly tossing two pennies, and the...

Two statistics students were collecting data one day. One was repeatedly tossing two pennies, and the other was recording the outcome. After awhile, the recorder (who was bored) said, "Don't tell me the outcome just yet, but rather answer this question: Is one of the coins `heads'?" "Yes," replied the other. "I wonder what the probability is that both coins are heads," inquired the recorder. "Hmmm...," said the other. I wonder.

What is the probability that both coins are heads, knowing that one of the coins is showing heads?

Math   Statistics-And-Probability   
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