JEE Main 2005 — Probability Question with Solution
From: AIEEE 2005
Question
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Person 1st has three options to apply.
Similarly, person 2nd has three options t apply
and person 3rd has three options to apply.
Total cases = 33
Now, favourable cases = 3 (An either all has applied for house 1 or 2 or 3)
So, probability .
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This is a previous-year question from JEE Main 2005, 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.