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WAEC Mathematics 2012 Question 28

Question 28

Probability

A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours.

  1. A.8/15
  2. B.13/25
  3. C.11/15
  4. D.13/15
Show the answer and explanation

Answer: A (8/15)

Explanation

P(red then black) + P(black then red) = 4/10 × 6/9 + 6/10 × 4/9 = 48/90 = 8/15.