1.
Let MM be the maximum value of the product of two positive integers when their sum is 6666. Let the sample space S={xZ:x(66x)<M}S = \{x \in \mathbb{Z}: x(66 - x) < M\} and the event A={xS:x is a multiple of 3}A = \{x \in S: x \text{ is a multiple of } 3\}. Then P(A)P(A) is equal to: