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WAEC Mathematics 2014 Objective — Question 46

Question 46 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

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The probability of an event P happening is 1/5 and that of event Q is 1/4. If the events are independent, what is the probability that neither of them happens?

  • A. 4/5
  • B. 3/4
  • C. 3/5Correct
  • D. 1/20

Explanation

P(neither) = (1−1/5)(1−1/4) = (4/5)(3/4) = 3/5.

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