Had edited the post. Here are 10000 rolls to support your analysis. 
Let us check.
Server seed hash
3aaac305ec911f3dc3965c731dfe6db16902eb23822487a593114e68922c9e32
Server seed
a151b24df86e5dea2ef3--snip---
Client seed
ndnhc
What is the 10001st nonce roll?
PrimeDice
http://pastebin.com/VAEyF5B1
I'll agree with if you show me your betting simulations and state which dice game algorithm you used.
All I can tell you is I have made a dice simulator for JD and PD and if you group the results by 10s you do reach a point where you approach equal distribution of numbers.
Using this method I can within a good % know that a bet will win in a worst case situation.
All I can tell you is I have made a dice simulator for JD and PD and if you group the results by 10s you do reach a point where you approach equal distribution of numbers.
Using this method I can within a good % know that a bet will win in a worst case situation.
Let us check.
Server seed hash
3aaac305ec911f3dc3965c731dfe6db16902eb23822487a593114e68922c9e32
Server seed
a151b24df86e5dea2ef3--snip---
Client seed
ndnhc
What is the 10001st nonce roll?
PrimeDice
http://pastebin.com/VAEyF5B1