# Probability : Coin flips - What is the probability that someone is on the committee, but not all six people?

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Six people will decide which of them are on a committee by flipping a coin. Each person flips the coin, and is on the committee if he or she gets a head. What is the probability that someone is on the committee, but not all six people?

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A coin flipping problem is solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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The probability that any one individual (i.e. someone) ends up on the committee is 0.5. In other words, either an individual will get a heads or a tails. That's 0.5 probability of getting a heads. In addition, what happens to one individual is completely independent of what happens to another individual.

But ...

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