Answer:
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On the presumption that it is a cubic die, on average you will not gain nor lose any money. Out of the six faces, 1/3 of them are a 5 or a 2. So 1/3 of the time, you will gain 3$, but will lose 1$ from the initial payment. 1/3 of 3$ is 1$, so on average, you will gain 1$, while losing 1$.
Another way of looking at it is to take the possible out comes, and add the gains/loses, and you will come up with 0$.
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Related Questions (More Answers Below)
I am not completely sure but 2.7 because I subtracted the 6 8/9 by 6 4/9 and got 8/3 which then I dived and got 2.66666666666667
Click on the picture to see how I got -17x-21 as the answer
A1 = (1, -2 , 0) ; a2 = (0,1,2) ; a3 = (5,-6,8) ; b = (2,-1,6)
2*a1 = (2, -4,0)
3*a2 = (0, 3, 6)
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sum = (2, -1, 6) = b
Hope this helps
