Question

Three houses are available in a locality. Three persons apply for the houses. Each applies for one houses without consulting others. The probability that all three apply for the same houses is

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

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