Let 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) ≥ 5/9M and the event A = x S:x is a multiple of 3\. Then P(A) is equal to:

Statistics and Probability: JEE Main 2023 Mathematics question

JEE Main 2023 · 25 Jan, Morning shift · Q4924

JEE Main 202325 Jan, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

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 :

JEE Main 2023 · 25 Jan, Morning shift · Q4924

JEE Main 202325 Jan, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

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 :