$A$ random variable $X$ has the following probability distribution:
$X$ $0$ $1$ $2$ $3$ $4$ $P(X)$ $k$ $2k$ $4k$ $6k$ $8k$
The value of $P(1 < X < 4 \mid X \leq 2)$ is equal to:
| $X$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $P(X)$ | $k$ | $2k$ | $4k$ | $6k$ | $8k$ |
The value of $P(1 < X < 4 \mid X \leq 2)$ is equal to:
- A$\frac{4}{7}$
- B$\frac{2}{3}$
- C$\frac{3}{7}$
- D$\frac{4}{5}$
Explore More
Similar Questions
If $P(AB) = P(A)P(B)$,$P(A/B) = 1/4$,and $P(B/A) = 1/3$,then which of the following is true?
Medium
View SolutionIf $A$ and $B$ are two events such that $P(A) = 0.7$,$P(B) = 0.4$,and $P(A \cap \overline{B}) = 0.5$,where $\overline{B}$ denotes the complement of $B$,then $P(B \mid (A \cup \overline{B}))$ is equal to:
DifficultJEE MAIN 2025
View SolutionGiven two independent events $A$ and $B$ such that $P(A) = 0.3$ and $P(B) = 0.6$. Find $P(A \text{ and not } B)$.
Easy
View SolutionIf $P(A)=0.8, P(B)=0.5$ and $P(B | A)=0.4,$ find $P(A | B).$
Easy
View SolutionOne ticket is selected at random from $50$ tickets numbered $00, 01, 02, \ldots, 49$. The probability that the sum of the digits on the selected ticket is $8$,given that the product of these digits is zero,equals:
MediumAIEEE 2009
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo