JEE Main 2020MathematicsProbabilityMediumMCQ

JEE Main 2020 — Probability Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

Let A and B, be two events such that the probability that exactly one of them occurs is 25, and the probability that A or B, occurs is 12, then the probability of both of them occur together is.

Choose an option

Show full solutionCorrect option: D
Correct answer
D0.10

Step-by-step explanation

P (exactly one) =25
=PA+PB-2PA∩B=25  ...1
PA∪B=12
=PA+PB-PA∩B=12  ...2
∴PA∩B=12-25=5-410=110.

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About this question

This is a previous-year question from JEE Main 2020, 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.