Answer :

Let P(A) be the probability of students studying mathematics.

∴P(A)=0.40

Let P(B) be the probability of students studying biology.

∴P(B)=0.25

Let be the probability of students studying both mathematics and biology.

∴P(A∩B)=0.15

One student is selected at random.

*Tip – By conditional probability,* *where* *is the probability of occurrence of the event A given that B has already occurred.*

(i)The probability that he studies mathematics given that he studies biology:

(ii)The probability that he studies biology given that he studies mathematics:

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