Three houses of the same type were advertised to be let in a locality. Two men made separate applications for a house. What is the probability that each of them applied for the same house.
Choose one:
A) 1/3  B) 2/3  C) 1/6  D) 1/9  E) 1/27
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 2 men choose House no 1   So for First men it will be 1/3,second men 1/3   So probability of selecting house no 1 is 1/3*1/3= 1/9   1/3nd since there are 3 such house so probability that each men select the same house is 3*1/9 or 1/3   1/3ns is 1/3
<result>A</result>
Three houses of the same type were advertised to be let in a locality. Two men made separate applications for a house. What is the probability that each of them applied for the same house.