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Philip tosses a coin 4 times. What is the probability that the coin will land on heads all four times?

Solution

Philip tosses a coin 4 times. What is the probability that the coin will land on heads all four times?

Solution

\frac{1}{16}

Solution steps

The possible outcomes when a coin is thrown four times are

2 \cdot 2 \cdot 2 \cdot 2

Therefore, the number of possible outcomes:

2^{4}

Find the number of favorable outcomes of the coin will land on heads all 4 times:

1

Probability

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

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

2^{4} = 16

= \frac{1}{16}

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