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

Correct Answer: Option B

One person can select one house out of 3= \(3C_1\) ways =3.

Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9.

Therefore, probability that all thre apply for the same house is 1/9