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
Select the correct option
A) 1/7
B) 1/9
C) 1/6
D) 1/4
E) 1/2
Explanation:   One person can select one house out of 3= \inline {\color{Black}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   Answer: 1/9) 1/9
<result>B</result>
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