JEE Main 2010 — Probability Question with Solution
From: AIEEE 2010
Question
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Out of nine balls three balls can be chosen = ways
Sample space = = = = 84
According to the question, all three ball should be different. So out of 3 red balls 1 is chosen and out of 4 blue 1 is chosen and out of 2 green 1 is chosen.
Total cases = = 3 4 2 = 24
Probability = =
Sample space = = = = 84
According to the question, all three ball should be different. So out of 3 red balls 1 is chosen and out of 4 blue 1 is chosen and out of 2 green 1 is chosen.
Total cases = = 3 4 2 = 24
Probability = =
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This is a previous-year question from JEE Main 2010, 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.