#### 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 Option 1) 1/9 Option 2) 2/9 Option 3) 7/9 Option 4) 8/9

As we learnt in

Probability of occurrence of an event -

Let S be the sample space then the probability of occurrence of an event E is denoted by P(E) and it is defined as

- wherein

Where n repeated experiment and E occurs r times.

Reliability of a person applying to each house =

Reliability that they apply to same house =

Therefore, Total Reliability for 3 house

Option 1)

1/9

Correct

Option 2)

2/9

Incorrect

Option 3)

7/9

Incorrect

Option 4)

8/9

Incorrect

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