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+1 vote
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in Statistics and probability by (52.5k points)

Two different families A and B are blessed with equal number of children. There are 3 tickets to be distributed amongst the children of these families so that no child gets more than one ticket. If the probability that all the tickets go to the children of the family B is 1/12 , then the number of children in each family is 

(A) 3 

(B) 4 

(C) 5 

(D) 6

1 Answer

+1 vote
by (54.8k points)
selected by
 
Best answer

Answer is (C) 5

Let n number of children in each family. Number of ways in which all tickets goes to only B family is

nC3 . 3!

Total number of ways to distribute the tickets is

2n C3 .3!

So, the probability that all the tickets go to the children of the family B is

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