JEE Main 2024MathematicsProbabilityEasyMCQ

JEE Main 2024 — Probability Question with Solution

JEE Main 2024 (31 Jan Shift 1)

Question

Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made after each drawing. Then the probability, that first drawn marble is red and second drawn marble is white, is

Choose an option

Show full solutionCorrect option: D
Correct answer
D475

Step-by-step explanation

Given marbles are:

10→R, 30→W, 20→B, 15→O

We know that, PE=Number of favourable outcomesTotal number of outcomes

Also, PA and B=PA×PB, where A and B are independent events.

Probability of drawing first marble red and then white is given by,

PE=1075×3075

⇒PE=475

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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.