SOLUTION: Two balanced 4 sided-dice, each with faces labeled by 1, 2, 3 and4. if Ali plays a game where he tosses two balanced 4 sided-dice He wins 3 points if the sum is 6. He wins 2 poi

Question 1163877: Two balanced 4 sided-dice, each with faces labeled by 1, 2, 3 and4.
if Ali plays a game where he tosses two balanced 4 sided-dice
He wins 3 points if the sum is 6.
He wins 2 points if the sum is greater than 6.
He loses 1 point if the sum is less than 6.
Find the probability distribution sum.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Sum   Ways
2     1,1
3     1,2 2,1
4     1,3 2,2 1,3
5     1,4 2,3 3,2 4,1
6     2,4 3,3 4,2
7     3,4 4,3
8     4,4

There are 16 possible combinations, 6 three ways, more than 6 three ways, and less than 6 ten ways. So if X is the of points won:

  X   P(X)    xP(x)
  3   0.375   1.05
  2   0.375   0.75
 -1   0.675  -0.675

    ∑xP(x) =  1.125

John

My calculator said it, I believe it, that settles it

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