Three houses of the same type were advertised to be let in a locality. four men made separate applications for a house. 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) 1/6
C) 1/8
D) 1/9
E) 3/256
Since each of the house has same probability of getting selected so for each men proability of selecting a house out of 3 houses 1/3   Let us consider case where all 4 men choose House no 1   So for First men it will be 1/4,second men 1/4 , third men also 1/4 and fourth man 1/4   So probability of selecting house no 1 is 1/4*1/4*1/4*1/4= 1/256   And since there are 3 such house so probability that each men select the same house is 3*1/256   Ans is 3/256
<result>E</result>
Three houses of the same type were advertised to be let in a locality. four men made separate applications for a house. What is the probability that each of them applied for the same house.