J1M
Arcane
- Joined
- May 14, 2008
- Messages
- 14,659
Disclaimer: I understand statistics and the point you are attempting to make. This post is pedantic.Mr. Hiver look at this:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
I've put in bold the case that you are interested in. But why is it special? What about the cases defined by (x, 1), (x, 2), etc.?
Any row or column forms a similar set with an ordered pattern. We can find many patterns in a diagram like this. What makes that diagonal row special?
One way the diagonal row is different is that each pair of district numbers has a mirrored result in the table, and the matched one does not. (x, y) -> (y, x) except x=y.
I highlight this because there are very few games where you roll a handful of dice and then look at the results through the lens of "this is die 1, this is die 2, etc." If you going to discuss 'real' statistics and probability I'm not sure why you would stop at the toy problem where order matters instead of looking at the 'real' use-case.