Originally posted by AThousandYoung
36 possibilities.
In 6 of them, the difference is 0.
In 10 of them, the difference is 1.
In 8 of them, the difference is 2.
In 6 of them, the difference is 3.
In 4 of them, the difference is 4.
In 2 of them, the difference is 5.
(6*0 + 10*1 + 8*2 + 6*3 + 4*4 + 2*5)/36 = 70/36
Yep, 1.9444...
N dice? Too much work for my brain right now.
slight flaw in that.
In some cases the red is greater in some the blue is greater; so you have two questions:
What is the absolute difference?
"ATthousandYoung" answered the mean part of this question
In 6 of them, the difference is 0.
In 10 of them, the difference is 1.
In 8 of them, the difference is 2.
In 6 of them, the difference is 3.
In 4 of them, the difference is 4.
In 2 of them, the difference is 5.
Mean = 70/36 = 1.94...
(last digit repeats)
Mode = 1
Median = 2
What is the difference of red with respect to blue?
In 1 of them, the difference is -5
In 2 of them, the difference is -4
In 3 of them, the difference is -3
In 4 of them, the difference is -2
In 5 of them, the difference is -1
In 6 of them, the difference is 0.
In 5 of them, the difference is 1.
In 4 of them, the difference is 2.
In 5 of them, the difference is 3.
In 2 of them, the difference is 4.
In 1 of them, the difference is 5.
Mean = 0
Median = 0
M0de = 0
As for two dice;
relative difference gives the same results
Absolut diference gives:
In 146 cases, the diffeence is 0
In 280 cases, the diffeence is 1
In 250 cases, the diffeence is 2
In 208 cases, the diffeence is 3
In 160 cases, the diffeence is 4
In 112 cases, the diffeence is 5
In 70 cases, the diffeence is 6
In 40 cases, the diffeence is 7
In 20 cases, the diffeence is 8
In 8 cases, the diffeence is 9
In 2 cases, the diffeence is 10
Mean = 3556/1296 = 889/324 = 2.74382716049...
(last 9 digits repeat)
Median = 2
Mode = 1