Let \(M\) be the maximum value of the product of two positive integers when their sum is 66 . Let the sample space \(S=\…

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

[JEE Main 2023, 25 Jan (Shift 1)]