1.Let MMM be the maximum value of the product of two positive integers when their sum is 666666. Let the sample space S={x∈Z:x(66−x)<M}S = \{x \in \mathbb{Z}: x(66 - x) < M\}S={x∈Z:x(66−x)<M} and the event A={x∈S:x is a multiple of 3}A = \{x \in S: x \text{ is a multiple of } 3\}A={x∈S:x is a multiple of 3}. Then P(A)P(A)P(A) is equal to:a.14\dfrac{1}{4}41b.516\dfrac{5}{16}165c.38\dfrac{3}{8}83d.716\dfrac{7}{16}167Login to continueOnly logged in users canattempt or see the solution.