Three flats of the same type were advertised to be let in a housing complex. Three men made separate applications for a flat. What is the probability that each of them applied for the same house. Choose the correct choice from the following options:
A) 1/4	B) 1/5	C) 1/6	D) 1/3	E) 1/9
Since each of the flat has same probability of getting selected so for each men proability of selecting a flat out of 3 flats   Let us consider case where all 3 men choose flat no 1   So for First men it will be 1/3,second men 1/3 and third men also 1/3   So probability of selecting flat no 1 is 1/3*1/3*1/3= 1/27   And since there are 3 such flats so probability that each men select the same flat is 3*1/27 or 1/9   Ans is 1/3
<result>D</result>
Three flats of the same type were advertised to be let in a housing complex. Three men made separate applications for a flat. What is the probability that each of them applied for the same house.