jee-main 2025 Q9

jee-main · India · session1_29jan_shift2 Discrete Random Variables Probability Distribution Construction and Parameter Determination

Let $\mathrm { A } = \left[ \mathrm { a } _ { i j } \right]$ be a $2 \times 2$ matrix such that $\mathrm { a } _ { i j } \in \{ 0,1 \}$ for all $i$ and $j$. Let the random variable X denote the possible values of the determinant of the matrix $A$. Then, the variance of $X$ is :
(1) $\frac { 3 } { 4 }$
(2) $\frac { 5 } { 8 }$
(3) $\frac { 3 } { 8 }$
(4) $\frac { 1 } { 4 }$

Let $\mathrm { A } = \left[ \mathrm { a } _ { i j } \right]$ be a $2 \times 2$ matrix such that $\mathrm { a } _ { i j } \in \{ 0,1 \}$ for all $i$ and $j$. Let the random variable X denote the possible values of the determinant of the matrix $A$. Then, the variance of $X$ is :\\
(1) $\frac { 3 } { 4 }$\\
(2) $\frac { 5 } { 8 }$\\
(3) $\frac { 3 } { 8 }$\\
(4) $\frac { 1 } { 4 }$

Paper Questions

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