JEE Main 2022MathematicsProbabilityBayes TheoremmediumMCQ

JEE Main 2022 — Probability Question with Solution

From: JEE Main 2022 (Online) 29th July Evening Shift

Question

Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 white balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be black in colour. Then the probability, that the transferred ball is red, is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Let Ball drawn from Bag II is black.

Bag I to Bag II red ball transferred.

Bag I to Bag II black ball transferred.

Bag I to Bag II white ball transferred.



Here,



and

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About this question

This is a previous-year question from JEE Main 2022, 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.