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1. 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 -

  • A. 1/9
  • B. 1/9
  • C. 1/9
  • D. 1/9

Answer: Option A

Explanation:

One person can select one house out of 3 = 3C1 ways = 3.
Hence, three persons can select one house out of 3 in 3 x 3 x 3 = 9.
Therefore, the probability that all three apply for the same house is 1/9.

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