In a school there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in Class XII given that the chosen student is a girl

Explanation

Let `A:` student chosen randomly studies in class XII and B: The choosen student is girl.

Here `P(A / B)` is to be find.

Now `P(B)=430 / 1000=0.43`

Number of girls studing class XII аге `10 %`.

`therefore` Number of girls `=frac{430 times 10}{100}=43`

`therefore quad P(A cap B)=frac{43}{1000}=0.043`

Then `P(A / B)=frac{P(A cap B)}{P(B)}=frac{0.043}{0.43}=0.1`