JEE Main 2021MathematicsProbabilityVenn Diagram And Set TheorymediumMCQ

JEE Main 2021 — Probability Question with Solution

From: JEE Main 2021 (Online) 20th July Evening Shift

Question

Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 k), the probability that exactly one of B and C occurs is (1 2k), the probability that exactly one of C and A occurs is (1 k) and the probability of all A, B and C occur simultaneously is k2, where 0 < k < 1. Then the probability that at least one of A, B and C occur is :

Choose an option

Show full solutionCorrect option: B
Correct answer
Bgreater than

Step-by-step explanation









.....(i)

..... (ii)

..... (iii)





So,







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About this question

This is a previous-year question from JEE Main 2021, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.