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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 -

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 - Correct Answer 1/9

One person can select one house out of 3 = 3C1 ways = 3. Hence, three persons can select one house out of 3 in 3 x 3 x 3 = 9. Therefore, the probability that all three apply for the same house is 1/9.

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