JEE Main 2013 — Probability Question with Solution
JEE Main 2013 (22 Apr Online)
Question
Given two independent events, if the probability that exactly one of them occurs is and the probability that none of them occurs is , then the probability of more probable of the two events is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Let the probability of occurrence of first event A, be ' '
i..e.,
And also suppose that probability of occurrence of second event ,
Now, and not not and
And not and not
From (i) and (ii),
and
From (iii) and (iv),
Hence probability of more probable of the
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This is a previous-year question from JEE Main 2013, 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.