In a hostel,$60 \%$ of the students read Hindi newspaper,$40 \%$ read English newspaper and $20 \%$ read both Hindi and English newspapers. $A$ student is selected at random. If she reads English newspaper,find the probability that she reads Hindi newspaper.
- A$1/4$
- B$1/2$
- C$2/3$
- D$3/4$
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Similar Questions
If $2 P(A) = P(B) = \frac{5}{13}$ and $P(A \mid B) = \frac{2}{5}$,then $P(A \cup B) = $ . . . . . . .
Let $A, B, C$ be pairwise independent events such that $P(C) > 0$ and $P(A \cap B \cap C) = 0$. Then $P(A' \cap B'|C)$ is equal to:
Difficult
View SolutionTwo events $E$ and $F$ are independent. If $P(E) = \frac{3}{5}$ and $P(F) = \frac{3}{10}$, then $P(E'/F) + P(F'/E) = \text{ . . . . . . }$
MediumGUJCET 2025
View Solution$A$ fair die is tossed until a six is obtained. Let $X$ be the number of required tosses,then the conditional probability $P(X \geq 5 \mid X > 2)$ is:
DifficultJEE MAIN 2021
View Solution$E_1$ and $E_2$ are two independent events of a random experiment such that $P(E_1) = \frac{1}{2}$ and $P(E_1 \cup E_2) = \frac{2}{3}$. Match the items of List-$I$ with the items of List-$II$.
List-$I$ List-$II$ $A$. $P(E_2)$ $(i)$ $\frac{1}{2}$ $B$. $P(\frac{E_1}{E_2})$ $(ii)$ $\frac{5}{6}$ $C$. $P(\frac{\bar{E}_2}{E_1})$ $(iii)$ $\frac{1}{3}$ $D$. $P(\bar{E}_1 \cup \bar{E}_2)$ $(iv)$ $\frac{1}{6}$ $(v)$ $\frac{2}{3}$
| List-$I$ | List-$II$ |
| $A$. $P(E_2)$ | $(i)$ $\frac{1}{2}$ |
| $B$. $P(\frac{E_1}{E_2})$ | $(ii)$ $\frac{5}{6}$ |
| $C$. $P(\frac{\bar{E}_2}{E_1})$ | $(iii)$ $\frac{1}{3}$ |
| $D$. $P(\bar{E}_1 \cup \bar{E}_2)$ | $(iv)$ $\frac{1}{6}$ |
| $(v)$ $\frac{2}{3}$ |
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