Let M be the maximum value of the product of two positive integers when their sum is 66. Let the sample space S ={x ∈ Z: x(66-x) ≥ 5/9 M} and the…

Let M be the maximum value of the product of two positive integers when their sum is $\displaystyle 66$ . Let the sample space $\displaystyle \mathrm{S}=\left\{x \in \mathbb{Z}: x(66-x) \geq \frac{5}{9} M\right\}$ and the event $\displaystyle \mathrm{A}=\{x \in \mathrm{~S}: x$ is a multiple of $\displaystyle 3 \}$. Then $\displaystyle \mathrm{P}(\mathrm{A})$ is equal to