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JAMB Mathematics 2012 Question 50

Question 50

Probability

The probabilities that a man and his wife live for 80 years are 2/3 and 3/5 respectively. Find the probability that at least one of them will live up to 80 years.

  1. A.2/15
  2. B.3/15
  3. C.7/15
  4. D.13/15
Show the answer and explanation

Answer: D (13/15)

Explanation

P(neither) = 1/3 × 2/5 = 2/15, so P(at least one) = 1 − 2/15 = 13/15.