Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minPYQ_2025

MathematicsMediumsingle choice

Let $A = [a_{ij}]$ be a $2 \times 2$ matrix such that $a_{ij} \in {0, 1}$ 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 :

Options:

Answer:

Solution:

$x P (x) 0 \frac{10}{16} 1 \frac{3}{16} - 1 \frac{3}{16}$
$Var (x) = E (x^{2}) - [E (x)]^{2} = i = 1 \sum 3 x_{i}^{2} P (x_{i}) - (μ)^{2} = 1 \times \frac{3}{16} + 1 \times \frac{3}{16} [μ = 0] = \frac{6}{16} = \frac{3}{8}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: PYQ_2025

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