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MCQMediumJEE Main 2025 · 29 January, Shift 2Probability Distributions

Mathematics Question from JEE Main 2025 · 29 January, Shift 2

Let A=[aij]A = [a_{ij}] be a 2×22 \times 2 matrix such that aij∈{0,1}a_{ij} \in \{0, 1\} for all ii and jj. Let the random variable XX denote the possible values of the determinant of the matrix AA. Then, the variance of XX is:

  • A

    14\frac{1}{4}

  • B

    38\frac{3}{8}

  • C

    58\frac{5}{8}

  • D

    34\frac{3}{4}

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