WAEC Further Mathematics 2023 Objective — Question 38

Question 38 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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

A. 0.0078
B. 0.0231
C. 0.0780
D. 0.2311Correct

Explanation

P(farmer parent)=7/10=0.7, P(not farmer)=0.3. Using the binomial probability formula with n=12, x=8: P(X=8) = 12C8 (0.7)^8 (0.3)^4 = 0.2311.

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