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A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is__________?

Correct answer: A. 25/42

  • A. 25/42
  • B. 9/20
  • C. 10/23
  • D. 41/42

Explanation

The favorable cases are exactly 2 apples or exactly 3 apples: C(5,2) x C(4,1) + C(5,3) = 10 x 4 + 10 = 50. There are C(9,3) = 84 total selections, so the probability is 50/84 = 25/42. Students may choose 9/20 by using sequential probabilities without correctly combining the two favorable cases.

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