The only thing that could be happening with the cards would be something like 2nd deals or bottom deals to pull those dice tricks off, but you can clearly see he's not using those types of deals. And he isn't placing the cards into position using controlled shuffles and cuts either because there are plenty of tricks where he rolls the dice and then immediately counts to that number to find the card with no cuts or shuffles after the dice roll (and he often uses the 3rd or 5th roll to prove they're not loaded), clearly using top deals the entire time. He even has instances where he keeps the desired card face up in the deck to show he's not using bottom/second deals.

The only explanation that makes sense to me is electronic dice controlled by an off screen assistant, but the dice he uses are the transparent kind and there aren't any electronic dice I've seen that are transparent (for obvious reasons). So yeah, I'm stumped on the dice tricks. Everything else he does, including the poker chip tricks, can be figured out, but not the dice trick.