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A fair coin is flipped seven times. What is the probability of the coin landing tails up at most five times?

Solution

A fair coin is flipped seven times. What is the probability of the coin landing tails up at most five times?

Solution

\frac{15}{16}

Solution steps

Find the probability of not the coin landing tails up at most 5 times:

\frac{1}{16}

Probability of the coin landing tails up at most 5 times

= 1 -

Probability of not the coin landing tails up at most 5 times

= 1 - \frac{1}{16}

1 - \frac{1}{16} = \frac{15}{16}

= \frac{15}{16}

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