Question 397744
Assume that the 2 dice are 6-sided and fair.  Then the distribution of {{{abs(X-Y)}}} is as follows:

{{{abs(X-Y)}}}    --->  0       1        2        3        4       5
P({{{abs(X-Y)}}}) --->  6/36    10/36    8/36     6/36     4/36    2/36