If we toss this coin 5 times, what is the probability that it lands heads exactly three times

解

I f w e t oss t hi s co in 5 t im es, w ha t i s t h e p ro babi l i t y t ha t i t l an d s h e a d s e x a c tl y t h ree t im es

\frac{5}{16}

十進法表記

0.3125

解答ステップ

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 it lands heads exactly 3 times:

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}