Probability

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