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WAEC Mathematics 2010 Question 47

Question 47

Probability

In an athletics competition, the probability that an athlete wins a 100 m race is 1/8 and the probability that he wins in high jump is 1/4. What is the probability that he wins only one of the events?

  1. A.3/32
  2. B.3/16
  3. C.7/32
  4. D.5/16
Show the answer and explanation

Answer: D (5/16)

Explanation

P(race only) = 1/8 × 3/4 = 3/32; P(jump only) = 7/8 × 1/4 = 7/32. Total = 10/32 = 5/16.