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

Solution

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

Solution

\frac{3}{1024}

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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