Three cottage of the same type were advertised to be let in a area. Three men made separate applications for a cottage. What is the probability that each of them applied for the same cottage. Choose the correct choice from the following answers
A) 1/7	B) 2/9	C) 1/9	D) 4/9	E) 2/27
Since each of the cottage has same probability of getting selected so for each men probability of selecting a cottage out of 3 cottages 1/3   Let us consider case where all 3 men choose cottage 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 cottage no 1 is 1/3*1/3*1/3= 1/27   And since there are 3 such cottage so probability that each men select the same cottage is 3*1/27 or 1/9   Ans is 1/9
<result>C</result>
Three cottage of the same type were advertised to be let in a area. Three men made separate applications for a cottage. What is the probability that each of them applied for the same cottage.