Multiple choice

Three cards are drawn at random from a pack of 52 cards. What is the probability that all are the cards of diamond?

  1. 11/850

  2. 9/850

  3. 3/850

  4. 3/52

  5. 3/4
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A Correct answer
Explanation

Let S be the sample space and E be the event of selecting 3 cards of diamonds. Number of ways of drawing 3 cards out of 52 = n(S) = 52C3 Number of ways of drawing 3 cards of diamonds out of 13 = n(E) = 13C3 Then, required probability P(E) = n(E)/n(S) = 13C3 / 52C3 = 11/850

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