JEE Main 2023 — Probability Question with Solution
From: JEE Main 2023 (Online) 24th January Evening Shift
Question
Three urns A, B and C contain 4 red, 6 black; 5 red, 5 black; and red, 4 black balls respectively. One of the urns is selected at random and a ball is drawn. If the ball drawn is red and the probability that it is drawn from urn C is 0.4 then the square of the length of the side of the largest equilateral triangle, inscribed in the parabola with one vertex at the vertex of the parabola, is :
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Show full solutionCorrect answer: 432
Step-by-step explanation
Ball is drawn from urn
: Ball is drawn from urn
Ball drawn is red.
Required probability
So, parabola
Let side length of the triangle be .
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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.