The probability that a fair coin will turn up heads three times in a row is given by . What is the probability that it will turn up heads at least once in three tosses?
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The probability that a fair coin will turn up heads three times in a row is given by The probability that it will turn up heads at least once in three tosses is equal to 1 minus the probability that it will turn up tails all three times. The probability that it will turn up tails all three times is
, so the probability that it will turn up heads at least once is:
Therefore, the probability that a fair coin will turn up heads at least once in three tosses is
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