The chance of no matches is what's left, 38880 out of 46656 (6^5 in 6^6) or ~ 83.333%.
Either your simulation, or your description of the problem is wrong, they don't match.
or your interpretation of my description
![Smiley](https://bitcointalk.org/Smileys/default/smiley.gif)
it seems extremely unlikely to me given the description, that 0 matches would occur 83% of the time.
here's a few example rows from the data:
[6,3,6,6,3,4] + [6,3,4,3,6,6] = 6 matches
[1,5,2,6,1,5] + [2,3,5,6,5,1] = 5 matches
[4,2,1,1,5,6] + [1,5,3,3,3,1] = 3 matches
[5,6,3,5,5,1] + [1,2,5,4,3,2] = 3 matches
[4,2,5,2,6,6] + [2,1,1,1,1,3] = 1 match
[3,5,5,4,4,5] + [1,1,6,1,6,2] = 0 matches
i can use random.org all day long but i'd much rather find out the actual mathematical formula.
edit: here's some more...
[1,5,2,6,1,5] + [2,3,5,6,5,1] = 5
[4,2,1,1,5,6] + [1,5,3,3,3,1] = 3
[5,6,3,5,5,1] + [1,2,5,4,3,2] = 3
[5,2,6,2,4,1] + [2,5,5,4,3,6] = 4
[1,2,2,5,6,2] + [1,4,3,6,5,6] = 3
[5,6,3,2,2,4] + [1,3,5,3,2,2] = 4
[2,4,3,6,4,1] + [1,5,2,2,2,6] = 3
[3,1,4,3,1,1] + [5,4,1,4,6,2] = 2
[6,3,3,1,3,3] + [4,1,5,6,1,4] = 2
[3,5,1,2,1,1] + [6,4,3,5,2,2] = 3
[5,4,6,3,2,5] + [4,4,3,3,2,1] = 3
[4,6,4,2,4,5] + [3,3,2,1,5,3] = 2
[4,2,5,2,6,6] + [2,1,1,1,1,3] = 1
[1,4,1,1,6,5] + [5,1,1,1,3,3] = 4
[2,2,6,4,4,1] + [1,6,5,3,2,6] = 3
[2,4,5,4,4,3] + [2,4,4,6,2,4] = 4
[3,3,1,5,3,3] + [2,3,2,5,5,6] = 2
[1,1,3,2,2,6] + [6,4,1,3,2,4] = 4
[5,1,2,6,2,1] + [4,6,2,3,3,6] = 2
[6,6,5,2,3,6] + [2,5,5,3,5,2] = 3
[2,1,6,4,2,4] + [4,1,2,6,5,4] = 5
[1,2,5,2,6,1] + [3,5,3,3,2,3] = 2
[3,5,5,5,5,6] + [5,6,6,6,5,1] = 3
[5,2,3,2,4,4] + [4,5,4,1,1,1] = 3
[6,1,5,2,1,4] + [3,3,5,3,3,2] = 2
[1,2,5,6,4,1] + [2,2,5,1,4,3] = 4
[6,2,6,2,3,6] + [3,6,3,1,2,3] = 3
[3,4,2,6,5,1] + [2,6,4,6,6,4] = 3
[6,6,2,2,6,4] + [2,5,5,4,4,3] = 2
[5,4,6,1,4,3] + [6,2,5,3,5,1] = 4
[3,2,4,5,2,2] + [1,5,6,6,3,4] = 3
[1,3,4,1,2,3] + [6,2,6,6,1,4] = 3
[4,1,4,5,4,3] + [5,4,4,6,1,6] = 4
[4,2,4,6,4,5] + [3,2,4,4,6,1] = 4
[6,3,4,6,2,3] + [3,5,1,2,3,4] = 4
[3,5,5,4,4,5] + [1,1,6,1,6,2] = 0
[3,5,1,4,6,1] + [2,3,2,4,3,2] = 2
[6,6,6,4,6,3] + [4,5,6,6,5,6] = 4
[3,2,3,3,6,4] + [3,2,5,6,5,5] = 3
[5,2,6,1,1,1] + [5,6,3,4,3,3] = 2
[3,1,6,6,5,4] + [1,1,1,3,4,5] = 4
[6,5,2,1,2,3] + [6,1,4,1,3,2] = 4
[5,3,4,3,4,4] + [6,6,1,2,5,2] = 1
[5,5,3,4,1,6] + [2,1,1,2,3,2] = 2
[6,5,5,5,1,6] + [4,3,3,6,5,5] = 3
[5,4,3,6,4,2] + [3,2,1,2,1,5] = 3
[2,3,5,1,1,6] + [6,4,5,6,3,2] = 4
[4,6,1,2,6,1] + [2,1,4,4,2,2] = 3
[3,3,1,3,4,1] + [1,4,6,5,4,6] = 2
[4,2,3,5,3,2] + [6,4,4,5,4,6] = 2
[5,2,4,1,6,1] + [6,1,1,2,2,4] = 5
[6,3,4,4,5,5] + [4,2,3,1,4,2] = 3
[5,1,1,1,2,1] + [5,4,6,1,6,5] = 2
[3,4,2,5,4,3] + [4,1,2,3,6,2] = 3
[5,1,5,1,6,3] + [2,1,5,5,5,6] = 4
[6,5,4,3,3,4] + [5,3,4,1,4,1] = 4
[1,3,1,6,6,3] + [1,1,1,4,4,1] = 2
[4,3,4,4,1,2] + [3,6,1,6,1,3] = 2
[5,5,1,1,6,1] + [2,1,1,4,1,2] = 3
[3,6,1,5,1,6] + [2,6,2,6,2,3] = 3
[6,3,5,6,4,5] + [3,1,3,3,1,3] = 1
[6,3,4,3,2,4] + [4,4,4,4,1,3] = 3
[4,2,3,3,5,1] + [5,2,4,6,2,3] = 4
[5,2,1,5,4,2] + [4,3,2,4,6,4] = 2
[6,4,4,3,3,4] + [2,5,4,1,4,5] = 2
[4,2,3,1,4,1] + [1,2,3,5,2,3] = 3
[1,2,4,1,3,3] + [1,6,2,2,3,6] = 3
[1,5,6,5,3,3] + [5,6,5,5,1,4] = 4
[4,5,5,6,1,5] + [4,2,6,4,2,1] = 3
[4,5,3,2,6,6] + [5,4,1,1,6,2] = 4
[1,2,2,5,4,6] + [3,6,2,5,2,1] = 5
[1,2,4,1,5,3] + [3,4,4,1,4,5] = 4
[5,2,5,5,2,1] + [6,2,1,4,3,4] = 2
[4,3,4,1,4,5] + [4,1,3,3,2,1] = 3
[3,1,2,3,2,1] + [1,2,4,1,1,1] = 3
[6,4,5,1,6,4] + [2,6,3,4,5,3] = 3
[4,1,3,5,6,2] + [5,3,1,4,5,4] = 4
[5,5,5,4,4,2] + [5,2,3,3,1,2] = 2
[4,1,5,1,2,5] + [1,5,2,4,4,4] = 4
[5,2,5,2,5,4] + [5,2,5,1,1,5] = 4
[4,3,5,3,4,3] + [1,3,3,4,5,2] = 4
[2,2,4,4,4,4] + [4,2,4,5,6,2] = 4
[4,6,5,3,2,4] + [5,4,5,5,4,6] = 4
[2,1,2,1,2,5] + [4,4,5,1,1,3] = 3
[1,4,6,6,3,6] + [6,5,4,1,4,3] = 4
[5,3,6,2,1,4] + [4,1,6,1,1,6] = 3
[3,2,3,6,3,2] + [6,5,5,4,3,4] = 2
[3,1,5,2,1,1] + [4,3,5,2,2,2] = 3
[4,5,6,2,5,3] + [2,5,4,2,1,3] = 4
[6,6,6,1,4,2] + [2,4,4,5,6,3] = 3