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If a fair coin is tossed 5 times, what is the probability, to the nearest thousandth, of getting exactly 5 tails?

Solution

If a fair coin is tossed 5 times, what is the probability, to the nearest thousandth, of getting exactly 5 tails?

Solution

\frac{1}{32}

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 to the nearest thousandth of getting exactly 5 tails:

1

Probability

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

= \frac{1}{2 ^{5}}

2^{5} = 32

= \frac{1}{32}

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