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Question

Question: Three houses are available in a locality. Three person apply for house. Each applies for one house w...

Three houses are available in a locality. Three person apply for house. Each applies for one house without consulting others. The probability that all the three apply for same house

A

8/9

B

7/9

C

2/9

D

1/9

Answer

1/9

Explanation

Solution

One can apply by '3' ways

So total cases = 33 = 27 Favourable cases that they all apply for one is =3

P = 327\frac { 3 } { 27 } = 19\frac { 1 } { 9 }