JEE Main 2020 — Probability Question with Solution
From: JEE Main 2020 (Online) 8th January Evening Slot
Question
Let A and B be two events such that the
probability that exactly one of them occurs is and the probability that A or B occurs is ,
then the probability of both of them occur
together is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D0.10
Step-by-step explanation
Probability that exactly one of them occurs
P(A) + P(B) – 2P (A B) = .....(1)
Probability that A or B occurs is
P(A) + P(B) – P(A B) = ......(2)
Doing (2) - (1)
P(A B) = = 0.10
P(A) + P(B) – 2P (A B) = .....(1)
Probability that A or B occurs is
P(A) + P(B) – P(A B) = ......(2)
Doing (2) - (1)
P(A B) = = 0.10
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This is a previous-year question from JEE Main 2020, 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.