$100 Says I Can Only Solve This Problem!

I don't know. One hundred dollars?

The thing is, the guys here that do this type of in-depth game analysis will usually charge $3000-$5000 for their services. Unless, of course, it's a new game actually in a casino and they're devising a strategy plus calculating the HE.

Quote: Gialmere

I don't know. One hundred dollars?

The thing is, the guys here that do this type of in-depth game analysis will usually charge $3000-$5000 for their services. Unless, of course, it's a new game actually in a casino and they're devising a strategy plus calculating the HE.

Hmmm, could it be that OP has come up with this new casino game and, instead of paying $3000+ for the math analysis, he challenges the forum to do it for a mere $100? Maybe he is a genius, after all! ;)

Quote: ThatDonGuy

In case this thread reopens, I do have a few questions about the list of hands:

1. Where does a "Painting" (1-color hand) or a "Rainbow" (5-color hand) rank? Remember that every hand that is not a straight has at least a pair.

As I noted in my earlier post, I think that "Painting" (1-color hand) and "Rainbow" (5-color hand) (as listed under Non-paired hands) must be empty sets because they duplicate Painted Straight and Rainbow Straight.

Quote: ThatDonGuy

2. What, exactly, is a "Fool's Hand"? Does AKQQJ count as one?
3. Should the fifth card in a "two-tone flush" be the same suit as the other four?

Re: Fool's Hand: I really don't know but OP talks as if this table applies to scenarios where either 4 or 5 cards are drawn.

From OP's FAQ post: "Suited hands have < 4 cards with the same matching suit (and rank), flush hands have 4 to 5 cards with the same matching suit." So I interpret that the fifth card in a two-tone flush can be either the same or different suit as the other four cards.

Quote: ThatDonGuy

4: In a "suited two-tone" or a "two-tone," can one of the pairs be two cards one suit and the other pair two cards of another?

The phrase "suited" is said to describe 2-3 cards of the same suit and rank. So, my assumption is: NO.

Quote: ThatDonGuy

5: What, exactly, is a "suited quint"?

Let's see, a quint is 5oak of 5 different colors, with no reference to suits. The word suited is stated to mean a hand with < 4 cards of the same suit, i.e., with either 2 or 3 cards of the same suit. (It helps to read OP's second post, which is labeled "FAQ.") Also, "suited cards" must be of the same rank which certainly applies to a quint. So, I guess it could be AsAsAdAcAh of 5 different colors.

Quote: ThatDonGuy

6: Where is a 5 of a Kind that is neither a flush nor a rainbow?

Hmmmm. I hadn't noticed that. However, a 5 of a kind must have at least two cards of the same suit, so I imagine that qualifies as a "suited quint," as discussed above.
****************************************************
Again, these are just my interpretations of the first two posts and the two tables.

Quote: Gialmere

I don't know. One hundred dollars?

The thing is, the guys here that do this type of in-depth game analysis will usually charge $3000-$5000 for their services. Unless, of course, it's a new game actually in a casino and they're devising a strategy plus calculating the HE.

Free link to USPaperGames youtube vid. You might need to log into youtube to see it

https://www.youtube.com/watch?v=1HiKisQHTEQ

https://www.youtube.com/watch?v=g_NwOxSYxT4

He says he's invested a lot into this deck structure and game and raves about it, and has indeed patented it.

"If aliens came down.... They would think this was the greatest game in the world"

Probably so.

[edited, because I'd expressed opinions before watching the vids]

Quote: OnceDear

If this is a real life game that he's invented, I can save him a hundred bucks.
NO WAY it will be popular. Way Way Way too complex and incredibly badly explained. Familiar terms seem to be used in unfamiliar ways and unfamiliar terms are bandied about as if the player is to be glared at for not being psychic.
And using unfamiliar decks of cards. That's the final nail in its coffin.

Well if he gets the combinatorial math done for $100 it's still a low cost investment

Quote: darkoz

Well if he gets the combinatorial math done for $100 it's still a low cost investment

Very probably. The guy seems to have invested so so much of himself in this brilliant game. He's so passionate. So engrossed in it. So invested.
He's asking for mathematical analysis. He maybe should have asked for the opinions of his target audience. But he didn't do that here.
I wonder, 'Who are the target audience for his game?'

Sorry USPaperGames for not sharing your passion. Let me explain 'why I'm one of the a-Holes that voted 'Easy':
It's 'easy' to walk past the game and the question. I'm too lazy to understand it, or to play it. I suspect I'm not alone. That's not disrespecting you or your game. You just failed to engage my attention.

I think it's easier to think of four 5x5 bingo cards, one for each suit. Bingo cards typically have different colours for each column, so let's do it that way. The first column might be red, the second yellow etc. Reading downwards, each column contains A K Q J 2 (not sure why 10 isn't used).
Now I gave in trying to understand the hand order.

If you consider the four bingo cards stacked on top of each other...

It seems intuitive that Suited Quins (20) (any full row on a single bingo card) would equal Coloured Straight Flush (20) (any full column on a single bingo card).
Similarly five of something are relatively easy to understand (I'm ignoring double counting for simplicity).
Five of a Kind : 5 x 20..16 (e.g. there are 20 Aces, so 20*19*18*17*16, similarly for Kings etc)
Five of a Colour : 5 x 20..16 (e.g. all red would be any from the first column across all the bingo cards, so 20*19*18*17*16, similarly for all the other columns)
Five of a Suit (Flush) : 4 x 25..21 (any five on a bingo card, similary for the other bingo cards).

Yes it would be easy, once one understood the hand rankings, to knock up a program to work through all the permutations. I've never done it but it's similar to working through the possible results for a fruit machine.

Sorry for the picture, it was hard finding a good picture of a US-style bingo card with the colours for the columns.

Or you can think of it as a tensor. Each card has three orthogonal properties.

Assign 1 to 4 to the suits and 1 to 5 to the colors. Then its simply a 3 dimensional grid with cards occupying integer nodes in 3-D space.

What I dislike is that he has re-defined words that conventionally have standard meanings.

His "flush" is either a 4-card flush or a 5-card flush. Except when "Flush" is used without any other modifiers such as "pairs" or "painted", then it means only a 5-card flush.

His "Suited" means either
- a pair (of matching ranks) of the same suit in a hand that does not have a flush
- or trips of the same suit in a hand that does not have a flush.

The combination math is straightforward for the hand categories once you get the definitions established. Its something like calculating the combinations for 7 card stud in which you seek to make the best 5 card poker hand.

I agree one could think of a standard pack of cards as in a plane of 4x13, and this deck as a 3-D with various (x,y,z).

I am guessing he's looking for 4-card hands for, while there are five Ace Spades, there are only four Green Aces. I can't see why not use special 5-card hands, four identical cards and then standard poker ones. I suspect the problem is Trips is fairly easy to make (NB 2-Pair is more difficult c.f. Four-card poker).

It you're looking for something that pays like Jacks or Better, then probably either 2-Pair or Trips would be a standoff and the higher hands paying out tasty sums. If you're only looking for difficult hands then something like Straight or better (paying at least 5/1) would work.

I don't doubt his integrity. From his writings and (now) videos, he comes across as an eccentric genius (with brassy overtones). I merely think what he's asking goes beyond entertainment and into tedium. A board game site might be a better venue to introduce his creation.

Unfortunately, we can't quote users currently sitting in WOV jail but, that first video was, I confess, entertaining.