Multiple choice

From a pack of 52 playing cards, 4 cards are drawn. What is the probability that there is one ace, one queen and one numbered card?

  1. 144/5525

  2. 6/5525

  3. 16/5525

  4. 72/5525

  5. 11/5525
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A Correct answer
Explanation

A pack of playing card contains 52 cards, divided into 4 suits. These are – Spades, Clubs, Hearts and Diamonds. Each suit has 13 cards. Among these 13 cards, 9 cards are numbered 2 to 10. The remaining four cards are ace, king, queen and jack. From a pack of 52 cards, 3 cards can be drawn in 52C3 ways. Therefore, the required probability is, (4C1×4C1×36C1)/52C3 = 144/5525.

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