JEE Main 2023MathematicsProbabilityClassical Defininition Of ProbabilitymediumMCQ

JEE Main 2023Probability Question with Solution

From: JEE Main 2023 (Online) 24th January Morning Shift

Question

Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations

has unique solution is , then the sum of value of k and all possible values of N is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C20

Step-by-step explanation

For unique solution

i.e.





and

Probability of not getting 2 or 3 in a throw of dice

As given

Required value

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About this question

This is a previous-year question from JEE Main 2023, 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.