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JEE Math Practice Question

Let $$S=\left\{M=\left[a_{i j}\right], a_{i j} \in\{0,1,2\}, 1 \leq i, j \leq 2\right\}$$ be a sample space and $$A=\{M \in S: M$$ is invertible $$\}$$ be an event. Then $$P(A)$$ is equal to :

  1. A.$$\frac{47}{81}$$
  2. B.$$\frac{49}{81}$$
  3. C.$$\frac{50}{81}$$
  4. D.$$\frac{16}{27}$$

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