JEE Main 2014MathematicsProbabilityMediumMCQ

JEE Main 2014 — Probability Question with Solution

JEE Main 2014 (09 Apr Online)

Question

If Aand B are two events such that PA∪B=PA∩B, then the incorrect statement amongst the following statements is :

Choose an option

Show full solutionCorrect option: A
Correct answer
APA+PB=1

Step-by-step explanation

PA∪B=PA∩B

Using the addition theorem of probability, 

PA∪B=PA+PB-PA∩B

⇒PA=PB

PA∩B'=0

PA'∩B=0

Here, A and B are equally likely.

But we can't say that PA=PB=12

Therefore, PA+PB≠1

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About this question

This is a previous-year question from JEE Main 2014, 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.