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The probability that a fair coin will turn up heads three times in a row is given by (1 / 2)^{\wedge} 3 . What is the probability that it will turn up heads at least once in three tosses?

Option: 1

4 / 8


Option: 2

5 / 8


Option: 3

6 / 8


Option: 4

7 / 8


Answers (1)

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The probability that a fair coin will turn up heads three times in a row is given by (1 / 2) \wedge 3=1 / 8  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 (1 / 2) \wedge 3=1 / 8 , so the probability that it will turn up heads at least once is:
1-(1 / 8)=7 / 8
Therefore, the probability that a fair coin will turn up heads at least once in three tosses is 7 / 8

Posted by

Ajit Kumar Dubey

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