JEE Main 2025 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 8 April 2025, Shift 2, Maths Q9

Question 9 of 75 in this shift, Maths question 9 of 25, Section A.

A

and

B

are two events such that

P(A) = 0.7

P(B) = 0.4

and

P(A \cap \overline{B}) = 0.5

, where

\overline{B}

denotes the complement of

B

, then

P\left(B \mid (A \cup \overline{B})\right)

is equal to

(1) $\frac{1}{6}$
(2) $\frac{1}{4}$ Official answer
(3) $\frac{1}{2}$
(4) $\frac{1}{3}$

Official answer

Option 2

NTA final key.

Chapter: Probability
Topic: Conditional Probability
Idea tested: Conditioning on a Union of Events

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.