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if the coin tossed 4 times in a row. what is the probability that no tail shows up

Solution

if the coin tossed 4 times in a row. what is the probability that no tail shows up

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 no tail shows up:

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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