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WAEC Further Mathematics 2009 Question 28

Question 28

Probability

Three men, P, Q and R aim at a target the probabilities that P, Q and R hit the target are ½, ⅓ and ¾ respectively. Find the probability that exactly two of them hit the target.

  1. A.1
  2. B.½
  3. C.5/12
  4. D.⅓
Show the answer and explanation

Answer: C (5/12)

Explanation

Add the three cases with one miss: (½)(⅓)(¼) + (½)(⅔)(¾) + (½)(⅓)(¾) = 1/24 + 6/24 + 3/24 = 10/24 = 5/12.