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WAEC Further Mathematics 2024 Question 38

Question 38

Probability

The parents of 7 out of every 10 students in a class are farmers. If 12 students were selected at random, find the probability that the parents of 8 them will be farmers.

  1. A.0.0078
  2. B.0.0231
  3. C.0.0780
  4. D.0.2311
Show the answer and explanation

Answer: D (0.2311)

Explanation

Binomial with n = 12, p = 0.7: P(8) = ¹²C₈(0.7)⁸(0.3)⁴ = 495 × 0.05765 × 0.0081 ≈ 0.2311.