No more than 3 heads

A fair coin is flipped 10 times. What is the probability that it lands on heads three or fewer times?

Give your answer to three decimal places.


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The answer is 0.172.

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1 solution

Geoff Pilling
May 1, 2016

The probability it will land on heads 3 or fewer times is ( 10 0 ) + ( 10 1 ) + ( 10 2 ) + ( 10 3 ) 2 10 = 0.172 \frac{ \binom{10}{0} + \binom{10}{1} + \binom{10}{2} + \binom{10}{3} }{2^{10}} = \boxed{0.172}

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