Question 330445: Two dice, one marked with 1,1,2,3,4,5 and one marked with 2,3,4,5,6,6 are rolled
A) What are the possible sums and corresponding probabilities (relative frequencies)
Prossible sums? Probabilities?
B) What is the expected sum (the weighted average of all possible sums).
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! a) Look at all of the possible rolls and their sum.
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
1 6 7
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
1 6 7
2 2 4
2 3 5
2 4 6
2 5 7
2 6 8
2 6 8
3 2 5
3 3 6
3 4 7
3 5 8
3 6 9
3 6 9
4 2 6
4 3 7
4 4 8
4 5 9
4 6 10
4 6 10
5 2 7
5 3 8
5 4 9
5 5 10
5 6 11
5 6 11
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.
.
There are 36 possible outcomes,
Sum of 3:2, 
Sum of 4:3, 
Sum of 5:4, 
Sum of 6:5, 
Sum of 7:8, 
Sum of 8:5, 
Sum of 9:4, 
Sum of 10:3, 
Sum of 11:2, 
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.
.
Sum the product of the sum and the probability,
As expected since the probabilities are symmetric about  .
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