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Jee Main 2025 — Hard JEE math MCQ

Let $A = [a_{ij}]$ be a square matrix of order 2 with entries either 0 or 1. Let $E$ be the event that $A$ is an invertible matrix. Then the probability $P(E)$ is
  1. A. \( \frac{3}{16} \)
  2. B. \( \frac{5}{8} \)
  3. C. \( \frac{3}{8} \)
  4. D. \( \frac{1}{8} \)

Solution

The correct option is **C**. (C. \( \frac{3}{8} \))

MATH

hard • PYQ Reworded
Question
Read carefully, then pick the best option.
Let A=[aij]A = [a_{ij}] be a square matrix of order 2 with entries either 0 or 1. Let EE be the event that AA is an invertible matrix. Then the probability P(E)P(E) is
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Jee Main 2025 — Hard JEE Mathematics MCQ | MyGoalPrep