Q. 53

Mark the correct alternative in each of the following:

Two dice are thrown. If it is known that the sum of the numbers on the dice was less than 6, the probability of getting a sum 3, is

A. 1/18

B. 5/18

C. 1/5

D. 2/5

Answer :

A = Event of getting a sum of 3.


A = { (1,2) , (2,1) }


B = Event of sum of the numbers less than 6.


B = { (1,1) , (1,2) , (1,3) , (1,4) , (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (4,1) }


(AB) = { (1,2) , (2,1) } (1)


Now, we have


n(A) = 2


n(B) = 10


n(AB) = n(A) = 2 (2)


Now,




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