The probability that a student selected at random from class will pass in Mathematics is 4/5, and the probability that he/she passes in Mathematics and Computer Science is ½. What is the probability that he/she will pass in Computer Science if it is known that he/she has passed in Mathematics?

Explanation

Let `P(A)` is the probability of a student passing in Mathematics and
`P(B)` is the probability of passing in Computer science.

Then,
`P(A) = 4/5, P(AnnB) = 1/2`

`:.` Required probability `= P(B/A) = (P(AnnB))/(P(A)) = (1/2)/(4/5) = 5/8.`