A fair coin is tossed four times. What is the probability that at most three tails occur?

7 / 8

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15 / 16

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13 / 16

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3 / 4

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Solution

The correct option is B $15 / 16$
A fair coin is tossed four times. the probability that at most three tails occur
$S = H H H H, H H H T, H H T H, H H T T, H T H H, H T H T, H T T H, H T T T, T H H H, T H H T, T H T H, T H T T, T T H H, T T H T, T T T H, T T T T, N = 16$
at most three tails occur in 15 situations hence $P (E) = \frac{15}{16}$

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