Let S={M=[a_i j], a_i j ∈{0,1,2}, 1 ≤ i, j ≤ 2} be a sample space and A={M ∈ S: M is invertible } be an event. Then P(A) is equal to

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