Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability, that both cards are queens, is

Question

Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability, that both cards are queens, is (A) (1/13)×(1/13) (B) (1/13) + (1/13) (C) (1/13)×(1/17) (D) (1/13)×(4/51)

Tardigrade Admin · Accepted Answer

Total number of cards = 52 Number of queens = 4 Hence, required probability = (4/52)×(4/52) = (1/13)×(1/13)

Q. Two cards are drawn from a well shuffled deck of $52$ playing cards with replacement. The probability, that both cards are queens, is

$\frac{1}{13} \times \frac{1}{13}$

$\frac{1}{13} + \frac{1}{13}$

$\frac{1}{13} \times \frac{1}{17}$

$\frac{1}{13} \times \frac{4}{51}$

Total number of cards $= 52$
Number of queens $= 4$
Hence, required probability $= \frac{4}{52} \times \frac{4}{52}$
$= \frac{1}{13} \times \frac{1}{13}$

Q. Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability, that both cards are queens, is

131​×131​

131​+131​

131​×171​

131​×514​