Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Which of the following best describes the theoretical probability distribution?
A.constant
B.symmetric
C.positively skewed
D.negatively skewed

Question

Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Which of the following best describes the theoretical probability distribution?
A.constant
B.symmetric
C.positively skewed
D.negatively skewed

kropot72 · Answer

The sample space has 36 possible combinations of numbers. These can be set out in column form as follows: 
6,6   5,6   4,6   3,6   2,6   1,6
6,5   5,5   4,5   3,5   2,5   1,5 
6,4   5,4   4,4   3,4   2,4   1,4 
6,3   5,3   4,3   3,3   2,3   1,3 
6,2   5,2   4,2   3,2   2,2   1,2 
6,1   5,1   4,1   3,1   2,1   1,1 
If you subtract the right hand value from the left hand value for each of the 36 combinations, you can make a table showing how many times each result of -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 occurs. Then you will be able to see the best description of the theoretical probability distribution.

anonymous · Answer

Is it C? @kropot72

kropot72 · Answer

@MeganRose Have you made the table that I suggested?

anonymous · Answer

yes

anonymous · Answer

@kropot72

kropot72 · Answer

How many occurrences of -5, 0, and 5 did you get?