I'm looking to understand how Bitcoin casinos work and how next roll game predictions work?
Strictly speaking, there is really no such thing as Bitcoin casino. There are only casinos which accept Bitcoin as their primary currency. But these are strictly private businesses which do not have anything to do with Bitcoin itself.
If I am not mistaken, you might be referring to provably fair casino games. This is the system which almost immediately followed the birth of Bitcoin. All trusted Bitcoin or crypto casinos use this system in their gambling games. Through this, you can verify the fairness and honesty of each game. Please refer to this thread by webtricks for more information:
https://bitcointalk.org/index.php?topic=5227525.0 and here
https://www.btcgosu.com/tools/provably-fair-verifier/ for verification itself.
As regards game predictions, I have yet to hear any effective tool or mechanism for it.
Yes it is true that Bitcoin casinos are nothing but the traditional casinos which before were working with fiat currency and now they are operating with cryptocurrency, no other difference.
About the game predictions, it can be created with the same logic of how the casinos are working, but still it will be very hard to find the next roll prediction as even if you get the prediction for next roll you should be fast enough to bet on that casino if it is running very fast. If you are using this prediction on any small casinos then you wont get much profit as in 2 or 3 bets they will catch you and will suspend your account.
So it is much better that leave playing in casinos and do some work and earn, instead of relying on gambling luck.