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WAEC Mathematics 2023 Objective — Question 32

Question 32 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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A bag contains 4 white marbles and 3 blue marbles. Another bag contains 5 red marbles and 6 blue marbles. If a marble is picked at random from each bag, find the probability that they are of the same colour.

  • A. 1/2
  • B. 18/77Correct
  • C. 11/12
  • D. 1/3

Explanation

P(same colour)=P(both blue)=P(blue from bag1)×P(blue from bag2)=(3/7)×(6/11)=18/77 (since colours matching across the two differently-composed bags is only possible for blue).

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