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JEE Math Practice Question

Let $\mathrm{A}=\left[\mathrm{a}_{\mathrm{ij}}\right]$ 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 $\mathrm{P}(\mathrm{E})$ is :

  1. A.$\frac{3}{8}$
  2. B.$\frac{1}{8}$
  3. C.$\frac{3}{16}$
  4. D.$\frac{5}{8}$

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