JEE Math Practice Question
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:
- A.$\frac{5}{8}$
- B.$\frac{1}{4}$
- C.$\frac{3}{4}$
- D.$\frac{3}{8}$
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