A card is drawn at random from a well-shuffle | vedclass

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(D) The total number of cards in a well-shuffled pack is $n = 52$.$A$ picture card is defined as a King,Queen,or Jack. There are $4$ of each in a deck

Vedclass · Accepted Answer

$\frac{10}{13}$

Vedclass · Answer

(D) The total number of cards in a well-shuffled pack is $n = 52$.$A$ picture card is defined as a King,Queen,or Jack. There are $4$ of each in a deck,so the total number of picture cards is $3 	imes 4 = 12$.Let $A$ be the event that the card drawn is not a picture card.The number of favourable outcomes $m$ is the total number of cards minus the number of picture cards:$m = 52 - 12 = 40$.The probability $P(A)$ is given by the ratio of favourable outcomes to total outcomes:$P(A) = \frac{m}{n} = \frac{40}{52}$.Simplifying the fraction by dividing both numerator and denominator by $4$:$P(A) = \frac{10}{13}$.

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability that the card is not a picture card is ...........

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