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Popular Word Problems >

A coin is flipped three times. What is the probability of getting exactly two heads?

Solution

A co in i s f l i pp e d t h ree t im es . Wha t i s t h e p ro babi l i t y o f g e tt in g e x a c tl y tw o h e a d s ?

Solution

\frac{3}{8}

+1

Decimal

0.375

Solution steps

The possible outcomes when a coin is thrown three times are

2 \cdot 2 \cdot 2

Therefore, the number of possible outcomes:

2^{3}

Find the number of favorable outcomes of getting exactly 2 heads:

3

Probability

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

= \frac{3}{2 ^{3}}

2^{3} = 8

= \frac{3}{8}

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