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Mathematics · JEE | PROBABILITY

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Three cards are drawn successively without replacement from a well-shuffled pack of 52 cards. What is the probability that the first two cards are kings and the third card is an ace?

  1. A
    \( \frac{8}{5525} \)
  2. B
    \( \frac{4}{5525} \)
  3. C
    \( \frac{1}{2210} \)
  4. D
    \( \frac{2}{5525} \)
View Answer & Solution

Correct answer · Option D

\( \frac{2}{5525} \)

Explanation

By multiplication rule: \( P(KKA) = P(K) \cdot P(K \mid K) \cdot P(A \mid KK) = \frac{4}{52} \times \frac{3}{51} \times \frac{4}{50} = \frac{2}{5525} \).
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