Question

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

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

Answer 1

Answer: (D)

$\frac { 1 } { 9 }$

Answer 2

For a particular house being related prob. = $\frac { 1 } { 3 }$

Prof. (all the persons apply for the same house)

= $\left( \frac { 1 } { 3 } \times \frac { 1 } { 3 } \times \frac { 1 } { 3 } \right) \times 3 = \frac { 1 } { 9 }$