Two dice are thrown. If it is known that the sum of numbers on the dic

1.	Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, isA. 1/18B. 5/18C. 1/5D. 2/5
Answer» Let A be the event that the sum of numbers on the dice was less than 6 And, B be the event that the sum of numbers on the dice is 3 A={(1,4)(4,1)(2,3)(3,2)(2,2)(1,3)(3,1)(1,2)(2,1)(1,1) N(A)=10 B={(1,2)(2,1) n(B)=2 Required probability = nB/nA Required probability = 2/10 Hence, The probability is 1/5

Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, isA. 1/18B. 5/18C. 1/5D. 2/5

Answer»

Let A be the event that the sum of numbers on the dice was less than 6

And, B be the event that the sum of numbers on the dice is 3

A={(1,4)(4,1)(2,3)(3,2)(2,2)(1,3)(3,1)(1,2)(2,1)(1,1)

N(A)=10

B={(1,2)(2,1)

n(B)=2

Required probability = nB/nA

Required probability = 2/10

Hence, The probability is 1/5

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Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, isA. 1/18B. 5/18C. 1/5D. 2/5

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