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If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactaly 6 heads?

Solución

If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 heads?

Solución

\frac{1}{64}

Pasos de solución

The possible outcomes when a coin is thrown

6

times are

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

Therefore, the number of possible outcomes:

2^{6}

Find the number of favorable outcomes of to the nearest thousandth of getting exactly 6 heads:

1

Probability

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

= \frac{1}{2 ^{6}}

2^{6} = 64

= \frac{1}{64}

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