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 $52$.Face cards are the cards that have faces on them,which are Kings,Queens,and Jacks.In eac

Vedclass · Accepted Answer

$\frac{3}{13}$

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(D) The total number of cards in a well-shuffled pack is $52$.Face cards are the cards that have faces on them,which are Kings,Queens,and Jacks.In each suit,there are $3$ face cards (one King,one Queen,and one Jack).Since there are $4$ suits in a deck (Hearts,Diamonds,Clubs,and Spades),the total number of face cards is $4 	imes 3 = 12$.The probability of drawing a face card is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.Probability $P = \frac{	ext{Number of face cards}}{	ext{Total number of cards}} = \frac{12}{52}$.Simplifying the fraction by dividing both the numerator and the denominator by $4$,we get $P = \frac{3}{13}$.

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability that the card drawn is a face card.

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