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

• A. $\frac{1}{9}$
• B. $\frac{2}{9}$
• C. $\frac{7}{9}$
• D. $\frac{8}{9}$

Answer 1

The correct option is A $\frac{1}{9}$

The probability $=\frac{C(3,1)}{3\times 3\times 3}=\frac{1}{9}$