3 houses are available in a new flat. 3 persons apply for the houses. Each applies for 1 house without consulting others.The probability that all the 3apply for the same house is?	Choose the correct choice from the following answers:
A) 1 / 7	B) 1 / 9	C) 2 / 7	D) 3 / 7	E) 2 / 9

Rationale: one person can select one house out of 3 = \ inline { \ color { black } 3 c _ { 1 } } ways = 3 . hence , three persons can select one house out of 3 in 3 x 3 x 3 = 9 . therefore , probability that all thre apply for the same house is 1 / 9 b
Answer: B