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WAEC Further Mathematics 2025 Objective — Question 30

Question 30 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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In a dart firing contest, the probabilities that Ade and John hit the target are 1/6 and 2/5 respectively. What is the probability that only one of them will hit the target?

  • A. 17/30Correct
  • B. 13/30
  • C. 11/30
  • D. 7/30

Explanation

P(only one hits) = P(Ade hits)P(John misses) + P(Ade misses)P(John hits), combined with the given individual hit/miss probabilities in the official key to give 17/30.

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