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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 …

Q1
PYQ

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

[JEE Main 2023, 11 Apr (Shift 1)]

a

\(\frac{50}{81}\)

b

\(\frac{47}{81}\)

c

\(\frac{49}{81}\)

d

\(\frac{16}{27}\)

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