Let S = { M = [a_ij], a_ij ∈ {0, 1, 2}, 1 ≤ i, j ≤ 2 } be a sampl… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 11 April, Shift 1Inverse & Adjoint of a Matrix

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

A
$\frac{16}{27}$
B
$\frac{50}{81}$
C
$\frac{47}{81}$
D
$\frac{49}{81}$

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