A coin is tossed 4 times. The probability tha | vedclass

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(D) 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 head.The complement event

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$\frac{15}{16}$

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(D) 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 head.The complement event $E'$ is the event of getting no heads,which means getting $4$ tails.There is only $1$ outcome where no heads appear: $(T, T, T, T)$.So,$P(E') = \frac{1}{16}$.The probability of getting at least one head is $P(E) = 1 - P(E')$.$P(E) = 1 - \frac{1}{16} = \frac{15}{16}$.

$A$ coin is tossed $4$ times. The probability that at least one head turns up is

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