JEE Main 2016MathematicsProbabilityMediumMCQ

JEE Main 2016 — Probability Question with Solution

JEE Main 2016 (09 Apr Online)

Question

If A and B are any two events such that PA=25 and PA∩B=320, then the conditional probability, PAA′∪B′, where A' denotes the complement of A, is equal to :

Choose an option

Show full solutionCorrect option: B
Correct answer
B517

Step-by-step explanation



Given PA=25=820 &  PA∩B=320

∴  PA'∪B'=PA∩B'

=1-PA∩B

=1-320=1720

PA∩A'∪B'=PA∩B'

=PA-PA∩B

=820-320=520  

∴  PAA'∪B'=PA∩A'∪B'PA'∪B'

=5201720=517

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About this question

This is a previous-year question from JEE Main 2016, 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.