WAEC Mathematics 2021 Theory — Question 7

Question 7 of 22 from the West African Examinations Council (WAEC) Mathematics 2021 Theory paper, with the correct answer and a full explanation.

5(b). A box contains 5 red, 3 green and 4 blue identical beads. Calculate the probability that a girl takes away two red beads, one after the other, from the box (without replacement).

Model answer

Total beads = 12. P(1st red) = 5/12. Without replacement, P(2nd red) = 4/11. P(two red beads) = 5/12 × 4/11 = 20/132 = 5/33 ≈ 0.152.

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