JEE Main 2019 — Probability Question with Solution
From: JEE Main 2019 (Online) 11th January Morning Slot
Question
Two integers are selected at random from the set {1, 2, ...., 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Since sum of two numbers is even so either both are odd or both are even. Hence number of elements in reduced samples space = 5C2 + 6C2
So, required probability = =
So, required probability = =
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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.