SOLUTION: Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-sided dice. One is a standard dice, with faces having 1,2,3,4,5 and 6 spots. The othe

Question 188755: Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-sided dice. One is a standard dice, with faces having 1,2,3,4,5 and 6 spots. The other die has three faces with 0 spots and three faces with 6 spots. Find the probability distribution for the total number of spots Y on the up-faces when you roll these two dice.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sketch the sample space as a 6 by 6 square with
1,2,3,4,5,6 labeling the rows and
0,0,0,6,6,6 labeling the columns
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Fill in the 36 sums you get when you add a row value to a column value.
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Make a lising of the distinct sum values and their frequency.
Divide each frequency by 36.
Those numbers are the probability distribution and should add up to 1.
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Cheers,
Stan H.

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