I'm looking to understand how Bitcoin casinos work and how next roll game predictions work?
It's a provably fair algorithm. For more information and to have a glimpse at what it's all about, you can search for it.
You can also see some links directly to a bitcoin casino where there's an explanation about how their provably fair works. Since you are in the progress of understanding how bitcoin casinos work, I think you should encounter that term right now.
Bitcoin is a relatively new thing and it can be very difficult to understand. There are literally casinos popping up now...
Those are different things in general. Try to spend time learning the basics of Bitcoin.
About the casinos, stick on a single site first or those that already established their names. Using several casinos at the same time, especially you are a newbie will just lead you into a confusion of understanding the interface.