JEE Main 2019MathematicsProbabilityEasyMCQ

JEE Main 2019 — Probability Question with Solution

JEE Main 2019 (12 Jan Shift 2)

Question

In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these students is selected at random, then the probability that the student selected has opted neither for NCC nor for NSS is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A16

Step-by-step explanation

Let A& B be the sets for NCC and NSS respectively.

Given nA=40, nB=30, nA∩B=20

∴n A∪B=nA+nB-nA∩B

=40+30-20=50

∴P A∪B=5060=56

∴P A∪B′=1-P A∪B

=1-56=16

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About this question

This is a previous-year question from JEE Main 2019, 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.