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WAEC Further Mathematics 2007 Question 35

Question 35

Probability

Three students are working independently on a Mathematics problem. Their respective probabilities of solving the problem are 0.6, 0.7 and 0.8. What is the probability that at least one of them solves the problem?

  1. A.0.024
  2. B.0.336
  3. C.0.664
  4. D.0.976
Show the answer and explanation

Answer: D (0.976)

Explanation

P(none solves) = 0.4 × 0.3 × 0.2 = 0.024, so P(at least one) = 1 − 0.024 = 0.976.