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Post-UTME Mathematics 2018 Objective — Question 10

Question 10 of 20 from the Post-UTME Screening (Post-UTME) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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A bag contains 4 red balls and 6 black balls, all identical. 2 balls are drawn from the bag at random without replacement. What is the probability that the two balls drawn are of the same colour?

  • A. 2/15
  • B. 1/3
  • C. 7/15Correct
  • D. 2/45

Explanation

P(both red) = C(4,2)/C(10,2) = 6/45. P(both black) = C(6,2)/C(10,2) = 15/45. Total = 21/45 = 7/15.

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