Mathematics 2018 JAMB Past Questions - Question 3: If X, Y can take values from the set (1,2,3,4), find the probability that the product of X and Y is not greater than 6.

Correct Answer

D

Explanation

To find the probability that the product of X and Y is not greater than 6, we can list all the combinations of X and Y where the product is not greater than 6.The pairs of (X, Y) that satisfy this condition are:To find the probability that the product of X and Y is not greater than 6, we can first list all the combinations of X and Y where the product is not greater than 6.The pairs of (X, Y) that satisfy this condition are:(1, 1), (1, 2), (1, 3), (1, 4),(2, 1), (2, 2), (2, 3),(3, 1), (3, 2),(4, 1).There are 9 such pairs in total.The total number of possible pairs of (X, Y) is 4 * 4 = 16 (since X and Y can take values from the set {1, 2, 3, 4}).Therefore, the probability that the product of X and Y is not greater than 6 is 9/16.(1, 1), (1, 2), (1, 3), (1, 4),(2, 1), (2, 2), (2, 3),(3, 1), (3, 2),(4, 1).There are 9 such pairs in total.The total number of possible pairs of (X, Y) is 4 * 4 = 16 (since X and Y can take values from the set {1, 2, 3, 4}).Therefore, the probability that the product of X and Y is not greater than 6 is 9/16.