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WAEC Further Mathematics 2009 Question 35

Question 35

Probability

Two balls are drawn from a bag containing 3 red, 4 white and 5 black identical balls. Find the probability that they are the entire same colour.

  1. A.5/33
  2. B.13/66
  3. C.8/33
  4. D.19/66
Show the answer and explanation

Answer: D (19/66)

Explanation

Ways to pick two of one colour: 3C2 + 4C2 + 5C2 = 3 + 6 + 10 = 19, out of 12C2 = 66. Probability 19/66.