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GCE Mathematics 2025 Objective — Question 53

Question 53 of 60 from the General Certificate of Education (GCE) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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A bag contains 3 yellow and 2 red identical balls. If two balls are picked at random one after the other without replacement, what is the probability of picking two balls of different colours?

  • A. 3/10
  • B. 2/5
  • C. 3/5Correct

Explanation

P(different colours) = P(Y then R) + P(R then Y) = (3/5 x 2/4) + (2/5 x 3/4) = 3/10+3/10 = 3/5.

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