The probability of getting at least one tail | vedclass

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(A) The total number of outcomes when a coin is tossed $4$ times is $2^4 = 16$.Let $E$ be the event of getting at least one tail.The complement event

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$\frac{15}{16}$

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(A) The total number of outcomes when a coin is tossed $4$ times is $2^4 = 16$.Let $E$ be the event of getting at least one tail.The complement event $E'$ is the event of getting no tails,which means getting all heads.The only outcome for $E'$ is $(H, H, H, H)$,so the number of outcomes for $E'$ is $1$.The probability of $E'$ is $P(E') = \frac{1}{16}$.The probability of getting at least one tail is $P(E) = 1 - P(E') = 1 - \frac{1}{16} = \frac{15}{16}$.

The probability of getting at least one tail in $4$ throws of a coin is

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