JEE Main 2023MathematicsProbabilityHardMCQ

JEE Main 2023 — Probability Question with Solution

JEE Main 2023 (15 Apr Shift 1)

Question

A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on the die are drawn from the bag at random. The probability that all the balls drawn are white is

Choose an option

Show full solutionCorrect option: C
Correct answer
C15

Step-by-step explanation

Given,

Bag have 6 white and 4 black balls

Now also given die is rolled and the number denotes the number of ball drawn from the bag,

So, probability all drawn balls are white will be,

=16C16C110+C26C210+C36C310+C46C410+C56C510+C66C610

=16610+1545+20120+15210+6252+1210

=5042520=15

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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.