JEE Main 2024MathematicsProbabilityEasyMCQ

JEE Main 2024 — Probability Question with Solution

JEE Main 2024 (01 Feb Shift 2)

Question

Let Ajay will not appear in JEE exam with probability p=27, while both Ajay and Vijay will appear in the exam with probability q=15. Then the probability, that Ajay will appear in the exam and Vijay will not appear is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B1835

Step-by-step explanation

The probability that Ajay will not appear in exam is, PA'=p=27.

⇒PA=57

The probability that Ajay and Vijay will appear in exam is, PA∩V=q=15.

⇒PA×PV=15

⇒PV=15×75

⇒PV=725

The probability that Ajay will appear and Vijay will not appear in the exam is,

⇒PA∩V'=57×1825

⇒PA∩V'=1835

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About this question

This is a previous-year question from JEE Main 2024, 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.