JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 September 2020, Shift 2, Maths Q68

Question 68 of 75 in this shift, Maths question 18 of 25.

Let

E^C

denote the complement of an event E. Let

E_1

E_2

and

E_3

be any pairwise independent events with

P(E_1)>0

and

P(E_1\cap E_2\cap E_3)=0

. Then

P\left(E_2^C\cap E_3^C\,/\,E_1\right)

is equal to :

(1) $P\left(E_2^C\right)+P(E_3)$
(2) $P\left(E_3^C\right)-P\left(E_2^C\right)$
(3) $P\left(E_3^C\right)-P(E_2)$ Official answer
(4) $P(E_3)-P\left(E_2^C\right)$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Probability
Topic: Conditional Probability
Idea tested: De Morgan's Laws in Conditional Spaces

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.