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What is the probability that we get the head at least two times when we toss a coin three times?

Solution

What is the probability that we get the head at least two times when we toss a coin three times?

Solution

\frac{1}{2}

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 we get the head at least 2 times:

4

Probability

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

= \frac{4}{2 ^{3}}

\frac{4}{2 ^{3}} = \frac{1}{2}

= \frac{1}{2}

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