Multiple choice

A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in succession without replacement, then what is the probability that all three books are defective?

  1. 0.009

  2. 0.016

  3. 0.026

  4. 0.047
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A Correct answer
AI explanation

Using the formula for probability without replacement, the probability of drawing three defective books is (5/20) multiplied by (4/19) multiplied by (3/18). The numerators evaluate to 60, while the denominators evaluate to 6840. Dividing 60 by 6840 yields approximately 0.00877, which rounds to 0.009.

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