JEE Main 2021MathematicsProbabilityBayes TheoremmediumMCQ

JEE Main 2021Probability Question with Solution

From: JEE Main 2021 (Online) 25th February Evening Shift

Question

In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian. Their chances of getting a particular chest disorder are 35%, 20% and 10% respectively. A person is chosen from the group at random and is found to be suffering from the chest disorder. The probability that the selected person is a smoker and non-vegetarian is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D

Step-by-step explanation

Consider following events

A : Person chosen is a smoker and non vegetarian.

B : Person chosen in a smoker and vegetarian.

C : Person chosen is a non-smoker and vegetarian.

E : Person chosen has a chest disorder

Given













To find





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About this question

This is a previous-year question from JEE Main 2021, 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.