question_answer

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house, is     AIEEE  Solved  Paper-2005

A) 7/9        

B)        8/9        

C)         1/9                       

D)        2/9

Correct Answer: C

Solution :

Person 1st has three options to apply. Similarly, person 2nd has three options to apply and person 3rd has three options to apply. Total cases Now, favorable cases = 3 (either all has applied for house 1 or 2 or 3) So,         probability