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A coin is tossed five times. Find the probability of getting exactly three heads.

Solution

A coin is tossed five times. Find the probability of getting exactly three heads.

Solution

\frac{5}{16}

Solution steps

The possible outcomes when a coin is thrown

5

times are

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

Therefore, the number of possible outcomes:

2^{5}

Find the number of favorable outcomes of getting exactly 3 heads:

10

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{10}{2 ^{5}}

\frac{10}{2 ^{5}} = \frac{5}{16}

= \frac{5}{16}

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