Question

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 three apply for the same house is

Answer 1

Required probability$=\frac{\text{No.of favourable cases}}{\text{Total no.of exhaustive cases}}$
$=\frac{3}{3\times 3\times 3}=\frac{1}{9}$