two houses of the same type were advertised to be let in a locality. Three men made separate applications for a house. What is the probability that each of them applied for the same house.
Answers
A) 1/3	B) 2/27	C) 3/27	D) 4/27	E) 2/9
Since each of the house has same probability of getting selected so for each men proability of selecting a house out of 2 houses 1/2   Let us consider case where all 3 men choose House no 1   So for First men it will be 1/2,second men 1/2 and third men also 1/2   So probability of selecting house no 1 is 1/2*1/2*1/2= 1/8   And since there are 2 such house so probability that each men select the same house is 2*1/27   Ans is 2/27
<result>B</result>
two houses of the same type were advertised to be let in a locality. Three men made separate applications for a house. What is the probability that each of them applied for the same house.