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Tree houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others.

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Tree 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

(a) 7/9

(b) 8/9

(c) 1/9

(d) 2/6

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1 Answer

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Best answer

The correct option is (c) 1/9.

Explanation:

All the three persons has three options to apply a house

Total number of cases = 33

Now, favourable cases =3 (as either all has applied for house 1 or 2 or 3)

Required Probability = 3/33 = 1/9

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