JEE Main 2024MathematicsProbabilityMediumMCQ

JEE Main 2024 — Probability Question with Solution

JEE Main 2024 (01 Feb Shift 1)

Question

A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it was found that 2 balls are white and other 2 balls are black. The probability that the bag contains equal number of white and black balls is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B27

Step-by-step explanation

Total Possible cases of balls in the bag could be:

2W,6B,3W,5B,4W,4B,5W,3B,6W,2B

The favourable case is to choose 2W and 2B from the bag having 4W,4B

So, the required probability is given by

PE=C24×C24C28C22×C26C28+C23×C25C28+C24×C24C28+C25×C23C28+C26×C22C28

⇒PE=6×615+3×10+36+30+15

⇒PE=36126

⇒PE=27

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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.