JEE Main 2021 — Probability Question with Solution
From: JEE Main 2021 (Online) 31st August Evening Shift
Question
Let S = {1, 2, 3, 4, 5, 6}. Then the probability that a randomly chosen onto function g from S to S satisfies g(3) = 2g(1) is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
g(3) = 2g(1) can be defined in 3 ways
number of onto functions in this condition = 3 4!
Total number of onto functions = 6!
Required probability =
number of onto functions in this condition = 3 4!
Total number of onto functions = 6!
Required probability =
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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.