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

\\ A.\frac{1}{13} \times \frac{1}{13} \\\\ B.\frac{1}{13}+\frac{1}{13} \\\\ C.\frac{1}{13} \times \frac{1}{17} \\\\ D.\frac{1}{13} \times \frac{4}{51}

Answers (1)

We know that

Number of cards = 52

Number of queens = 4

Therefore, Probability of queen out of 52 cards = \frac{4}{52}

According to the question,
If a deck of card shuffled again with replacement, then
Probability of getting queen is , \frac{4}{52}

Therefore, The probability, that both cards are queen is , \left [\frac{4}{52} \times\frac{4}{52} \right ]

Hence, Probability is \left [\frac{1}{13} \times \frac{1}{13} \right ]

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