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.

As regards game predictions, I have yet to hear any effective tool or mechanism for it.