jee-main 2022 Q80

jee-main · India · session1_24jun_shift2 Conditional Probability Conditional Probability with Discrete Random Variable
A random variable $X$ has the following probability distribution:
$X$01234
$P ( X )$$k$$2 k$$4 k$$6 k$$8 k$

The value of $P \left( \frac { 1 < x < 4 } { x \leq 2 } \right)$ is equal to
(1) $\frac { 4 } { 7 }$
(2) $\frac { 2 } { 3 }$
(3) $\frac { 3 } { 7 }$
(4) $\frac { 4 } { 5 }$
A random variable $X$ has the following probability distribution:

\begin{center}
\begin{tabular}{ l r l l l l }
$X$ & 0 & 1 & 2 & 3 & 4 \\
$P ( X )$ & $k$ & $2 k$ & $4 k$ & $6 k$ & $8 k$ \\
\end{tabular}
\end{center}

The value of $P \left( \frac { 1 < x < 4 } { x \leq 2 } \right)$ is equal to\\
(1) $\frac { 4 } { 7 }$\\
(2) $\frac { 2 } { 3 }$\\
(3) $\frac { 3 } { 7 }$\\
(4) $\frac { 4 } { 5 }$