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 :

Question

$\begin {array} {1 1} (A)\;\large\frac{8}{9} & \quad (B)\;\large\frac{7}{9} \\ (C)\;\large\frac{2}{9} & \quad (D)\;\large\frac{1}{9} \end {array}$