MathematicsMedium75×since 2002Q4924Let 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)≥59M}S = \left\{ {x \in \mathbb{Z}:x(66 - x) \ge {5 \over 9}M} \right\}S={x∈Z:x(66−x)≥95M} and the event A={x∈S:x is a multiple of 3}\mathrm{A = \{ x \in S:x\,is\,a\,multiple\,of\,3\}}A={x∈S:xisamultipleof3}. Then P(A) is equal to :A13\frac{1}{3}31B15\frac{1}{5}51C722\frac{7}{22}227D1544\frac{15}{44}4415Check answerSkip