First slide

Introduction to probability

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

Moderate

A

$\frac{1}{9}$
B

$\frac{2}{9}$
C

$\frac{7}{9}$
D

$\frac{8}{9}$

Solution

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

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