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

To solve the problem, we need to find the conditional probability that a student passes in Computer Science given that they have passed in Mathematics. We can denote the events as follows:

- Let \( A \) be the event that a student passes in Mathematics.
- Let \( B \) be the event that a student passes in Computer Science.

We are given:
- \( P(A) = \frac{4}{5} \) (the probability that a student passes in Mathematics)
- \( P(A \cap B) = \frac{1}{2} \) (the probability that a student passes in both Mathematics and Computer Science)
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