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Question

You ask 3 friends to each flip a penny 25 times, then report the probability the penny shows tails. Your friends report probabilities of $0.44$, $0.48$, and $0.60$. You say the probability is $0.5$. Can everyone be right? Explain.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Yes. Your friends have reported the $\textit{experimental}$ probability of a penny showing tails, while you are reporting the $\textit{theoretical}$ probability of getting tails. If all of the coins used are fair coins, then, if your friends continue to do experiments (flipping the coin 100, 1000, 10000 times), their experimental probabilities will start approaching $0.5$.

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