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Correct Answer – Option 4 : 1 / 9
Concept:
P(E) = Probability of an event E = \(\rm \frac{\text{Favourable outcome}}{\text{Total outcome }} \)
Number of ways of choosing m objects by n people with no restriction = \(\rm m^{n}\)
Calculation:
Given
number of house (m) = 3
number of people applying for house(n) = 3
total number of way three people can apply for house = \(3^{3}\) = 27
Number of way in which all people apply for same house = 3
P(all three applying for same house) = \(\frac{3}{27}\) = \(\frac{1}{9}\)
Correct Answer – A
Required probability = `(“No. of favorable cases”)/(“Total no. of exhaustive cases”)`
= `(3)/(3xx3xx3) = (1)/(9)`