Two cards are drawn from a pack of 52 cards. | vedclass

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(D) The total number of ways to draw $2$ cards from a pack of $52$ cards is given by $^52C_2 = \frac{52 	imes 51}{2 	imes 1} = 1326$.There are $4$ q

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) The total number of ways to draw $2$ cards from a pack of $52$ cards is given by $^52C_2 = \frac{52 	imes 51}{2 	imes 1} = 1326$.There are $4$ queens and $4$ aces in a pack of $52$ cards.The number of ways to select $1$ queen and $1$ ace is $^4C_1 	imes ^4C_1 = 4 	imes 4 = 16$.The probability is given by $\frac{	ext{Favorable outcomes}}{	ext{Total outcomes}} = \frac{16}{1326}$.Simplifying the fraction by dividing both numerator and denominator by $2$,we get $\frac{8}{663}$.Since $\frac{8}{663}$ is not among the options $A, B,$ or $C$,the correct answer is $D$ (None of these).

Two cards are drawn from a pack of $52$ cards. What is the probability that one of them is a queen and the other is an ace?

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