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Popular Word Problems >

You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?

Solution

Y o u f l i p a co in 12 t im es . Wha t i s t h e p ro babi l i t y o f g e tt in g o n l y o n e t ai l s in a ll 12 t r i es ?

Solution

\frac{3}{1024}

+1

Decimal

0.0029296875

Solution steps

The possible outcomes when a coin is thrown

12

times are

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

Therefore, the number of possible outcomes:

2^{12}

Find the number of favorable outcomes of getting only 1 tails in all 12 tries:

12

Probability

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

= \frac{12}{2 ^{12}}

\frac{12}{2 ^{12}} = \frac{3}{1024}

= \frac{3}{1024}

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