Brain Melt In Progress

I am attempting to run numbers for a game we're developing, both to learn to apply probabilities and to determine if I have a viable game, and also to learn Excel better. I have preliminary arrangements for a professional math review, but I don't feel it's ready for his time unless I have a game that seems mathematically viable. I have hit a logical endless loop (er-ror! er-ror! er-ror-tilt!) where I'm talking myself into and out of why's, and if anyone's willing to help with a few generalizations, I would surely appreciate the math / probabilities help. I'm working with the equivalent of player's first 2 cards + dealer's up-card (66,300 possible combinations) for part of it, and I have those numbers broken out into subsets that add up correctly and in a logical pattern, but having difficulty determining the absolute right factors that logically make up those numbers to both verify they're correct and extrapolate the next step from them. If anyone's been there, done that, and is willing to share their insights, please PM me with an email address to which I can send spreadsheets and discussion (which I promise never to abuse). Thanks in advance for the help!

You're aware of all the prior art on BJ side bets involving the player's two cards and the dealer's upcard, yes?

Skim through this:
https://wizardofodds.com/games/blackjack/appendix/8/

I am, thanks; this is a different game with an analagous component, not a blackjack derivative. The math is the same, but it functions differently in the base game.

I evaluate casino games for a mere $1.98 per game. I also accept Paypal.

My past evaluations have been for the Luck Brothers and DJteddybear. Dan Lubin was a customer until his check bounced.

Why, thank you, Buzz! What a kind offer! Let me scrape that fee together and get back to you...heeheehee

Quote: beachbumbabs

...I'm working with the equivalent of player's first 2 cards + dealer's up-card (66,300 possible combinations)...

I'm also looking into a game, with a larger number of cards, but I assume your calculation uses the player can start with one of 52 cards, then one of 51 cards (in either order, i.e. /2) then the dealer can have one of 50 cards.

For instance it matters little whether the player has As Kh or Ah Ks, so it's easier to always make the first card a Spade. Similarly the second card can either be a Spade (1 chance) or a Heart (3 chances, as covers H, D and C). Finally the Dealer's card can either be a Spade, Heart, or Diamond (=Club). Thus you get SS-S, SH-S (3), SH-H (3), SH-D (6).

Another way to think of it is that the player either has a pair (suited or not) or two different cards (suited or not). This gives much less starting hands (albeit some have more than one combination) (e.g. AA single deck has 6 combos, AA suited 6dx 24*23/2*4). Then the dealer has a card which is either the same suit (if it matters) as one (or both) of the player's cards or not.