JEE Main 2018MathematicsProbabilityMediumMCQ

JEE Main 2018Probability Question with Solution

JEE Main 2018 (16 Apr Online)

Question

Let A, B and C be three events, which are pair-wise independent and E¯ denotes the complement of an event E. If PABC=0 and PC>0, then PA¯B¯|C is equal to

Choose an option

Show full solutionCorrect option: A
Correct answer
APA¯-PB

Step-by-step explanation

PA¯B¯|C=PA¯B¯CPC

=PC-PAC-PBC+PABCPC

=PC-PAPC-PBPCPC

=1-PA-PB

=PA¯-PB or PB¯-PA

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About this question

This is a previous-year question from JEE Main 2018, 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.