Three houses are available in a locality. Three persons apply for the houses. Ea

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 the three apply for the same house is

Options:

A . 29

B . 218

C . 38

D . 120

Answer: Option B
:
B
For a particular house being selected Probability =

\frac{1}{3}

Prob(all the persons apply for the same house) =

(\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}) \times 3 = \frac{1}{9}

\frac{2}{18}

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