JEE Main 2022MathematicsProbabilityEasyMCQ

JEE Main 2022 — Probability Question with Solution

JEE Main 2022 (25 Jun Shift 1)

Question

Let E1 and E2 be two events such that the conditional probabilities PE1∣E2=12, PE2∣E1=34 and PE1∩E2=18. Then

Choose an option

Show full solutionCorrect option: C
Correct answer
CPE1∩E2'=PE1·PE2

Step-by-step explanation

PE1∩E2PE2=12, PE2∩E1PE1=34, PE1∩E2=18

⇒ PE2=14, PE1=16, PE1∪E2=16+14-18=724

PE'∩E2'=PE1∪E2'=1-724=1724

PE2'=34  ⇒PE1∩E2=PE1PE2'

PE1∩E2'=PE1-PE1∩E2=16-18=124

PE1∩E2'=PE1·PE2

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About this question

This is a previous-year question from JEE Main 2022, 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.