JEE Main 2025 Mathematics question

MathematicsDeterminantsJEE Main 2025

Let A = be a 2 × 2 matrix such that 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:

Answer: (2)

Solution

with probabilities 3/16, 10/16, 3/16. Var(X) =

Question ID VK-002357