Two dice are rolled at same time and the sum numbers appearing on them is noted find the probability of getting each sum from 3to5 separately
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Probability of getting 3 as sum= 1/18
Probability of getting 4 as sum= 1/12
Probability of getting 5 as sum = 1/9
Total number of possible outcomes when two dice are rolled together at the same time = 6×6 = 36
Case 1 - sum of the numbers on the dice is 3
The possible sets = (1,2) and (2,1)
Probability = 2/36
= 1/18
Case 2 - sum of the numbers on the dice is 4
The possible sets = (2,2) , (1,3) and (3,1)
Probability = 3/36
= 1/12
Case 3 - sum of the numbers on the dice is 5
The possible sets = (2,3) ,(3,2) , (4,1) and (1,4)
Probability = 4/36
= 1/9
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