Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability th - Mathematics MCQ AIEEE 2026 | ExamTest.live | ExamTest.live

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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:

A $2/9$
B $1/9$
C $8/9$
D $7/9$

Solution & Step-by-step Explanation

Total ways to apply: Each of the 3 persons has 3 choices.Total outcomes = 3 \times 3 \times 3 = 27 .Favorable outcomes: All apply for House 1, House 2, OR House 3.Favorable outcomes = 3 .Probability = 3/27 = 1/9 .

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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:

A

2/9

B

1/9

C

8/9

D

7/9

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Probability Independence

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