1.

In a class, 40% students study mathematics, 25% study biology and 15 % study both mathematics and biology. One student is selected at random. Find the probability that (i) he studies mathematics if it is known that he studies biology (ii) he studies biology if it is known that he studies mathematics.

Answer» Correct Answer - (i) `3/5` (ii) `3/8`
Let M = event of studying mathematics, and
B = event of studying biology.
The `P(M)=40/100=2/5, P(B)=25/100=1/4` and `P(M nn B)=15/100=3/20`
(i) `P(M//B)=(P(M uu B))/(P(B))`
(ii) `P(B//M)=(P(M nn B))/(P(M))`


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