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JEE Main 2021 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 26 August 2021, Shift 1, Maths Q79

Question 79 of 90 in this shift, Maths question 19 of 30, Section A.

Let A and B be independent events such that P(A)

=p

, P(B)

=2p

. The largest value of p, for which P (exactly one of A, B occurs)

=\frac{5}{9}

, is :

(1) $\frac{1}{3}$
(2) $\frac{4}{9}$
(3) $\frac{5}{12}$ Official answer
(4) $\frac{2}{9}$

Official answer

Option 3

NTA final key.

Chapter: Probability
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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 108 of the 174 JEE Main shifts held from 2017 to 2026.