JEE Main 2020 — Probability Question with Solution
From: JEE Main 2020 (Online) 2nd September Evening Slot
Question
Let EC denote the complement of an event E.
Let E1
, E2
and E3
be any pairwise independent
events with P(E1) > 0
and P(E1 E2 E3) = 0.
Then P() is equal to :
and P(E1 E2 E3) = 0.
Then P() is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A - P(E2)
Step-by-step explanation
Given E1 , E2 , E3 are pairwise indepedent events
so P(E1 E2 ) = P(E1 ).P(E2 )
and P(E2 E3 ) = P(E2 ).P(E3 )
and P(E3 E1 ) = P(E3 ).P(E1 )
and P(E1 E2 E3) = 0
Now
so P(E1 E2 ) = P(E1 ).P(E2 )
and P(E2 E3 ) = P(E2 ).P(E3 )
and P(E3 E1 ) = P(E3 ).P(E1 )
and P(E1 E2 E3) = 0
Now
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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.