I believe that it's especially important for people who are into gambling, and I thought of figuring everything out to give it a try. I've already been into sport betting for a while on this platform https://bettingmalaysia.online/, and I think that playing dice games can be a good idea, but I'm still not sure about that.

I recently thought about whether it is possible to earn money online at all? There is a lot of different information on the Internet, but I did not find a clear strategy, but I came across cherrybonuses on one of the forums. This is one of the online casinos, at first I thought that it was all complete nonsense, I decided to try it. It didn't take much, but sometimes I go to play a couple of games and earn some money.

You got to be @#$@ing me: ImportError: No module named 'numpy'

Really?! I need to do matrix mutiplication, powers and inversion by hand? While R is available? Nice...

Can be done in O(log(N)).

Hints: Get the 6x6 transfer probability matrix

P[i,j] := Pr(d[n+1]=i | d[n]=j).

Calculate and store P^n and S[n]=I+P+P^2+...+P^n for all n=1..N in O(N) time.

When calculating the variance, beware that the formula

var(X) = <X^2> - <X>^2

has loss-of-significance issues due to cancelation of large quantities.