In a school,there are 1000 students,out of wh | vedclass

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(A) Let $E$ be the event that the chosen student studies in class $XII$ and $F$ be the event that the chosen student is a girl. We are given that the

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$0.1$

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(A) Let $E$ be the event that the chosen student studies in class $XII$ and $F$ be the event that the chosen student is a girl. We are given that the total number of students is $1000$ and the number of girls is $430$. Thus,$P(F) = \frac{430}{1000} = 0.43$. It is given that $10\%$ of the girls study in class $XII$. So,the number of girls studying in class $XII$ is $10\% 	ext{ of } 430 = \frac{10}{100} 	imes 430 = 43$. Therefore,the number of students who are girls and study in class $XII$ is $43$. Thus,$P(E \cap F) = \frac{43}{1000} = 0.043$. We need to find the conditional probability $P(E|F)$,which is the probability that a student studies in class $XII$ given that the student is a girl. Using the formula for conditional probability: $P(E|F) = \frac{P(E \cap F)}{P(F)}$. Substituting the values: $P(E|F) = \frac{0.043}{0.43} = 0.1$.

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?

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