UI Post-UTME Mathematics 2018 (Model questions) Question 20

Question 20

Probability

The probabilities that kwakye and sekyere will pass an examination are 2/3 and 3/4 respectively. If both of them take the examination, find the probability that exactly one of them would pass

  1. A.3/11
  2. B.5/13
  3. C.5/12
  4. D.7/12
Show the answer and explanation

Answer: C (5/12)

Explanation

(2/3)(1/4) + (1/3)(3/4) = 2/12 + 3/12 = 5/12.