Question 958248: Determine the probability distribution of the sums of rolling two dice
Found 2 solutions by Fombitz, stanbon: Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! There are 36 possible outcomes,
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
Look at the sums,
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
Then count the occurences of each sum,
2,1
3,2
4,3
5,4
6,5
7,6
8,5
9,4
10,3
11,2
12,1
Then divide by the total number of outcomes to get the probabilities,
2,1/36
3,2/36=1/18
4,3/36=1/12
5,4/36=1/9
6,5/36
7,6/36=1/6
8,5/36
9,4/36=1/9
10,3/36=1/12
11,2/36=1/18
12,1/36
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Determine the probability distribution of the sums of rolling two dice
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sum = 2:: 1/36
sum = 3:: 2/36
sum = 4:: 3/36
sum = 5:: 4/36
sum = 6:: 5/36
sum = 7:: 6/36
sum = 8:: 5/36
sum = 9:: 4/36
sum = 10:: 3/36
sum = 11:: 2/36
sum = 12:: 1/36
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Cheers,
Stan H.
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