Mathematics 2018 JAMB Past Questions - Question 18: The probabilities that John and james pass examination are 3/4 and 3/5 respectively.Find the probability of both boys failing the examination.

Correct Answer

D

Explanation

Probability of John failing = 1- 3/4 = 1/4probability of James failing = 1 - 3/5 = 2/5Probability of both failing = 1/4 x 2/5 = 1/10To find the probability of both boys failing the examination, we can use the fact that the probability of an event occurring plus the probability of the event not occurring equals 1.Let's denote the probability of passing as P(pass) and the probability of failing as P(fail).For John, the probability of passing is 3/4, so the probability of failing is 1 - 3/4 = 1/4.For James, the probability of passing is 3/5, so the probability of failing is 1 - 3/5 = 2/5.Now, to find the probability of both boys failing, we multiply their individual probabilities of failing:P(both failing) = P(fail for John) * P(fail for James)P(both failing) = (1/4) * (2/5)P(both failing) = 2/20P(both failing) = 1/10Therefore, the probability of both boys failing the examination is 1/10.