WAEC Further Mathematics 2022 Objective — Question 22

Question 22 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

The table shows the distribution of distance (in km) covered by 40 hunters while hunting: Distance(km) 3,4,5,6,7,8; Frequency 5,4,x,9,2x,1. If a hunter is selected at random, find the probability that the hunter covered at least 6km.

A. 3/5Correct
B. 2/5
C. 3/8
D. 9/40

Explanation

Since frequencies sum to 40: 5+4+x+9+2x+1=40, giving 3x=21, x=7. P(at least 6km) = (9+2(7)+1)/40 = 24/40 = 3/5.

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