Consider using a CSPRNG

[Spaceghost]

I'd suggest you change your random function.

I'm not a pythonist myself, but something that seeds from urandom would be better. https://docs.python.org/3/library/os.html#os.urandom

[crobertsbmw]

I will look into urandom. I was almost thinking it would be cool to implement a simulation of a riffle shuffle (http://en.wikipedia.org/wiki/Shuffling#Riffle). Although randomness would still be just as valid of an issue and the end user probably wouldn't ever care or even know.