MathsJEE Main 24 Jan 2026, Shift 2·Q24·Numerical·Moderate

Probability · Classical probability with subsets

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 = \varnothing

. If the probability of the event

E

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

, where

p, q \in \mathbb{N}

, then

p + q

is equal to .

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