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WAEC Mathematics 2013 Objective — Question 28

Question 28 of 50 from the West African Examinations Council (WAEC) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

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A bag contains 4 red and 6 black balls of the same size. 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.

  • A. 8/15Correct
  • B. 13/25
  • C. 11/15
  • D. 13/15

Explanation

P(different colours) = P(R then B) + P(B then R) = (4/10×6/9)+(6/10×4/9) = 24/90+24/90 = 48/90 = 8/15.

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