WAEC Further Mathematics 2023 Objective — Question 17

Question 17 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

A fair dice is thrown twice. Find the probability that the sum obtained will be a factor of 12.

• A. 1/3Correct
• B. 5/18
• C. 1/9
• D. 7/18

Explanation

Listing all sums of two dice in an addition table (see diagram), the sums that are factors of 12 (1,2,3,4,6,12) occur in 12 out of the 36 equally likely outcomes, giving a probability of 12/36 = 1/3.

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