First slide

Theorems of probability

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

Moderate

A

_{$\frac{2}{9}$}
B

_{$\frac{1}{9}$}
C

_{$\frac{8}{9}$}
D

_{$\frac{7}{9}$}

Solution

For a particular house being selected probability _{$= \frac{1}{3}$}
Probability(all persons apply for same house)= _{$(\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}) 3 = \frac{1}{9}$}

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