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 oth

Question 191806: 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!
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.
---------------------
Sample Space:
1 with a 0 ; 3 times : spots = 1
2 with a 0 ; 3 times: spots = 2
3 with a 0 ; 3 times : spots = 3
etc,
1 with a 6 ; 3 times : spots = 7
2 with a 6 ; 3 times : spots = 8
3 with a 6 ; 3 times : spots = 9
etc
==============================
Spots distribution
3 each of 1,2,...6
3 each of 7,8,...12
-----------------------
spots/probability
1 / 3/36
2 / 3/36
3 / 3/36
etc
7 / 3/36
8 / 3/36
9 / 3/36
etc
===============
Cheers,
Stan H.
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