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Popular Word Problems >

what is the probability of getting 4 tails if a coin is flipped 5 times

Solution

w ha t i s t h e p ro babi l i t y o f g e tt in g 4 t ai l s i f a co in i s f l i pp e d 5 t im es

Solution

\frac{5}{32}

+1

Decimal

0.15625

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 4 tails:

5

Probability

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

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

2^{5} = 32

= \frac{5}{32}

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