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(B) In the experiment of selecting a card at random from a well-shuffled pack of $52$ cards,the total number of elementary outcomes is $52$.Let event

Vedclass · Accepted Answer

$\frac{12}{13}$

Vedclass · Answer

(B) In the experiment of selecting a card at random from a well-shuffled pack of $52$ cards,the total number of elementary outcomes is $52$.Let event $D$ be the event that the selected card is not a king.Let event $\bar{D}$ be the event that the selected card is a king.The number of outcomes favourable to event $\bar{D}$ is $4$,as there are $4$ kings in a standard pack of cards.Therefore,$P(\bar{D}) = \frac{4}{52} = \frac{1}{13}$.Using the complement rule,$P(D) = 1 - P(\bar{D})$.Therefore,$P(D) = 1 - \frac{1}{13} = \frac{12}{13}$.Thus,the probability that the selected card is not a king is $\frac{12}{13}$.

$A$ card is selected at random from a well-shuffled pack of $52$ cards. Find the probability that the selected card is not a king.

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