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JEE Main 2020 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 6 September 2020, Shift 2, Maths Q68

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

The probabilities of three events A, B and C are given by

P(A)=0.6

,

P(B)=0.4

and

P(C)=0.5

. If

P(A\cup B)=0.8

,

P(A\cap C)=0.3

,

P(A\cap B\cap C)=0.2

,

P(B\cap C)=\beta

and

P(A\cup B\cup C)=\alpha

, where

0.85\le\alpha\le0.95

, then

\beta

lies in the interval :

(1) $[0.35, 0.36]$
(2) $[0.36, 0.40]$
(3) $[0.25, 0.35]$ Official answer
(4) $[0.20, 0.25]$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Probability
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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 42 of the 174 JEE Main shifts held from 2017 to 2026.