Let S be a set of 5 elements and P(S) denote the power set of S. Let E be an event of choosing an ordered pair (A, B) from the set P(S)× P(S) such that A B=. If the probability of the event E is (3^(p))/(2^(q)), where p,q, then p+q is equal to _ _ _.

Statistics and Probability: JEE Main 2026 Mathematics question

JEE Main 2026 · 24 Jan, Evening shift · Q24

JEE Main 202624 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let S be a set of 5 elements and P(S) denote the power set of S. Let E be an event of choosing an ordered pair (A, B) from the set

P(S)\times P(S)

such that

A\cap B=\emptyset

. If the probability of the event E is

\frac{3^p}{2^q}

, where

p,q\in\mathbb{N}

, then

p+q

is equal to ______.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2026 Statistics and Probability Question with Solution (24 Jan Evening shift, Q24) | JEE Arc