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WAEC Mathematics 2014 Question 43

Question 43

Probability

If a number is selected at random from each of the sets P = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime.

  1. A.5/9
  2. B.4/9
  3. C.1/3
  4. D.2/9
Show the answer and explanation

Answer: B (4/9)

Explanation

The 9 sums are 3, 4, 6, 4, 5, 7, 5, 6, 8. The primes are 3, 5, 7 and 5, so the probability is 4/9.