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Popular Word Problems >

You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearest ten-thousandth.

Solution

Y o u t oss a f ai r co in 5 t im es . Wha t i s t h e p ro babi l i t y o f a t l e a s t o n e h e a d ? R o u n d t o t h e n e a res t t e n - t h o u s an d t h .

Solution

\frac{31}{32}

+1

Decimal

0.96875

Solution steps

Find the probability of no head:

\frac{1}{32}

Probability of at least 1 head

= 1 -

Probability of no head

= 1 - \frac{1}{32}

1 - \frac{1}{32} = \frac{31}{32}

= \frac{31}{32}

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