NIMCET 2016 — Mathematics PYQ

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Question

NIMCET 2016 — Mathematics PYQ

NIMCET | Mathematics | 2016

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

Choose the correct answer:

Explanation

Concept:
P(E) = Probability of an event E
$P (E) = \frac{Favourable outcome}{Total outcome}$

Number of ways of choosing $m$ objects by $n$ people with no restriction = $m^{n}$

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 = $3$

$P (all three applying for same house) = \frac{3}{27} = \frac{1}{9}$

Choose the correct answer:

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