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30 September, 16:27

A shelf holds 27 books of which 6 are textbooks, 12 are fiction and 9 are biographies. 5 of the books are selected randomly.

Question:

1. Find the probability that 1 of the books selected are fiction.

2. Find the probability that 1 of the selected is textbook, 2 are fiction and the rest are biographies.

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Answers (1)
  1. 30 September, 20:17
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    1) (12C1*15C4) / (27C5)

    = 14/69 or 0.2029

    2) (6C1*12C2*9C2) / (27C5)

    = 264/1495 or 0.1766
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