$100 Says I Can Only Solve This Problem!
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22 members have voted
The Royal Deck uses 100 cards which are the Σ of all cartesian products with 3 independent sets with elements of (Ace, King, Queen, Jack, Deuce) | (♤,♡,◇, ♧) | (Black, Red, Blue, Green, Yellow). Now I am going to be nice and provide the list of all possible hand rankings that can be derived from 5 or fewer cards (trust me that's a difficult task).
Your job is to put these hand rankings in order from least to greatest probability of occurring & then provide me with the hand ranking percentages for each of the 40 hand rankings + Fools Hand (which isn't ranked). Remember that the sum of all probabilities of all hand rankings is = 1, so I'm not asking for the probability of making a particular hand ranking or better which means if you have a pair but you also have doublet then you don't have a pair since the higher hand rank would be counted.
Start by just seeing if you could put all the hand ranking with 4 or fewer cards in the order form their probabilities if 4 cards are drawn. I will pay $100 to anyone who can do this for all the hand rankings if 5 cards are drawn & I'm leaving this challenge open for 30 days, that's how confident nobody can solve this question but me! Also don't forget that I solved the 4 card probabilities by hand with not even a calculator. I only used a computer to solve 1 thing for the 5 card probabilities and the amount of work it would take to write a program to solve this for you is much more than 30 days of work and if you are able to do that you should contact me and discuss terms on creating an app in which we can both become millionaires from this ;)
P.S. Please remove yourself from this form if you attempt to use calculus to solve this problem!
Does it matter which cards have to be the same suit to make a suited hand?
No, or I would have specified. Example a suited boat can be any combination of 2 & 3 suits like: A♤, A♡, A♤, K♡, K♤
Is a quint always a rainbow ranked hand?
Yes, every quint must also be a rainbow combination.
What is the difference between painted and colored?
Colored hands have < 5 cards with the same matching color, paint(ed)/(ing) hands have 5 cards with the same matching color.
What is the difference between suited & flush?
Suited hands have < 4 cards with the same matching suit, flush hands have 4 to 5 cards with the same matching suit.
Is there a 2-tone boat?
No, all 2-tones are doublets or doubles.
Symbol Meanings?
∆ = The combination of different elements. The delta symbol in logical analysis is referred to as the difference symbol.
∀= Any combination of characteristics. In predicate logic this symbol means "for all" or "for any".
🚫 = The absence of a combination of characteristics.
☆ = The color of a card. I chose the star symbol to represent different color or wavelengths of electromagnetism.
🄲 = The character or face value of a card.
♤ = The suit of a card
Quote: USpapergamesP.S. Please remove yourself from this form if you attempt to use calculus to solve this problem!
What is with all the hating on calculus?
Quote: WizardWhat is with all the hating on calculus?
No, this is to prove I'm better at combinatorial analysis for probabilities than every member of Wizard of Vegas. I value this type of mathematics over anything else since this is what I'm passionate about!
This is 5 ranks, 4 suits, 5 colors. 5*4*5 =100 cards. The only dififculty is in understanding the OP's terminology for defining hand categories.
I have already noticed that under the Non-Paired Hands the OP defines a category of hand that does not exist, namely "Rainbow Flush." Because there are only 5 ranks, any unpaired 5 card hand must, by definition, be a straight: AKQJ2. Therefore, any unpaired rainbow flush must necessarily be a rainbow straight flush , which is defined as a different hand category. Therefore, there are zero combinations for Rainbow Flush.
Also zero combinations for these non-paired hand categories defined by OP:
Painting (duplicates Painted Straight)
Rainbow (duplicates Rainbow Straight).
Also, the Fool's Hand has only 4 cards. I don't understand how that makes sense.
EDIT: I now see that OP defines the word "Flush" as meaning that 4 or 5 cards are of the same suit. So a five card hand with 4 spades and one diamond is a "flush"??????
It didn't take long for Mr Arrogant to get banned.
Quote: gordonm888I could certainly do this. IMO, there are maybe more than two dozen. active forum members who could do this.
This is 5 ranks, 4 suits, 5 colors. 5*4*5 =100 cards. The only dififculty is in understanding the OP's terminology for defining hand categories.
I have already noticed that under the Non-Paired Hands the OP defines a category of hand that does not exist, namely "Rainbow Flush." Because there are only 5 ranks, any unpaired 5 card hand must, by definition, be a straight: AKQJ2. Therefore, any unpaired rainbow flush must necessarily be a rainbow straight flush , which is defined as a different hand category. Therefore, there are zero combinations for Rainbow Flush.
Also zero combinations for these non-paired hand categories defined by OP:
Painting (duplicates Painted Straight)
Rainbow (duplicates Rainbow Straight).
Also, the Fool's Hand has only 4 cards. I don't understand how that makes sense.
Yes, making sense of it is the only hard part.
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.
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?
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?
5: What, exactly, is a "suited quint"?
6: Where is a 5 of a Kind that is neither a flush nor a rainbow?
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: GialmereI 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: ThatDonGuyIn 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: ThatDonGuy2. 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: ThatDonGuy4: 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: ThatDonGuy5: 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: ThatDonGuy6: 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: GialmereI 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: OnceDearIf 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
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.Quote: darkozWell if he gets the combinatorial math done for $100 it's still a low cost investment
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.
R Y G B B
e e r l l
d l e u a
l e e c
o n k
w
Rd Ye Gr Bl Bk
-- -- -- -- --
As As As As As
Ks Ks Ks Ks Ks
Qs Qs Qs Qs Qs
Js Js Js Js Js
Ts Ts Ts Ts Ts
T=Two or Ten, you decide!
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.
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 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.
Unfortunately, we can't quote users currently sitting in WOV jail but, that first video was, I confess, entertaining.
I won't penalise for quoting what he says about the game or cards in those videos. Leave out his diatribe about us and let's not attack the guy or his mannerisms, either while he's suspended or not.Quote: GialmereI 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.
I sincerely hope that he can be less hostile when he returns and that we can all keep it civil. He's clearly very passionate about his game.
Quote: OnceDearI won't penalise for quoting what he says about the game or cards in those videos. Leave out his diatribe about us and let's not attack the guy or his mannerisms, either while he's suspended or not.
I sincerely hope that he can be less hostile when he returns and that we can all keep it civil. He's clearly very passionate about his game.
I feel bad for him. He's obviously very intelligent. I've met a few game inventors, that unfortunately were too smart. Players aren't smart. Players don't want to have tons of strategic choices. Casinos don't want players to have tons of strategic choices.
The game will obviously never make it. If this truly is his life work and he's expecting it to make it big, he's in for a lot of frustration and rejection. If/when he comes back I'll happily give him some insight from the other side of the table. Pretty sure he won't be too interested though.
ZCore13
Getting a flush or coloured is fairly difficult, whereas getting cards to match (Pairs Trips etc.) is relatively easy. I'm guessing rainbow hands would account for about 4% (approx .8*.6*.4*.2) of non-coloured hands.
I haven't double checked the figures except that they add up!
| Coloured Quins : | 20 |
| SandC Straight : | 20 |
| Suited Quads : | 400 |
| Coloured Quads : | 2 000 |
| Suited Full House : | 2 400 |
| Suited Straight : | 5 100 |
| Coloured Full House : | 8 000 |
| Suited Trips : | 9 600 |
| Coloured Straight : | 12 480 |
| Suited Two Pairs : | 21 600 |
| Coloured Trips : | 30 000 |
| Suited One Pair : | 38 400 |
| Coloured Two Pairs : | 60 000 |
| Quins : | 77 500 |
| Coloured One Pair : | 100 000 |
| Quads : | 1 935 600 |
| Straight : | 3 182 400 |
| Full House : | 4 321 600 |
| Trips : | 13 640 400 |
| Two Pairs : | 21 578 400 |
| One Pair : | 30 261 600 |
Quote: charliepatrickI've only had a quick look at normal poker hands and then whether they're all suited (all five cards) and/or all coloured. I've ignored rainbow for this quick look. (The only way to get Suited and Coloured is with a Straight.)
Getting a flush or coloured is fairly difficult, whereas getting cards to match (Pairs Trips etc.) is relatively easy. I'm guessing rainbow hands would account for about 4% (approx .8*.6*.4*.2) of non-coloured hands.
I haven't double checked the figures except that they add up!
Coloured Quins : SandC Straight : Suited Quads : Coloured Quads : Suited Full House : Suited Straight : Coloured Full House : Suited Trips : Coloured Straight : Suited Two Pairs : Coloured Trips : Suited One Pair : Coloured Two Pairs : Quins : Coloured One Pair : Quads : Straight : Full House : Trips : Two Pairs : One Pair :
Oh no you didn't! You did not just do his life's work in a few spare minutes! :)
ZCore13
No - there's an error in them! (Swap suited and coloured). However for a standard deck (while I was cooking breakfast, set noofranks=13 and check for A5432), at least coloured straight is 1/624th of a normal straight.Quote: Zcore13Oh no you didn't! You did not just do his life's work in a few spare minutes! :) ... ZCore13
| Suited Quins : | 52 | 0.000 001% |
| SandC Straight : | 200 | 0.000 002% |
| Coloured Quads : | 3 120 | 0.000 033% |
| Suited Quads : | 15 600 | 0.000 164% |
| Coloured Full House : | 18 720 | 0.000 197% |
| SandC High Card : | 25 540 | 0.000 268% |
| Coloured Straight : | 51 000 | 0.000 535% |
| Suited Full House : | 62 400 | 0.000 655% |
| Suited Straight : | 124 800 | 0.001 310% |
| Quins : | 201 500 | 0.002 115% |
| Coloured Trips : | 274 560 | 0.002 882% |
| Coloured Two Pairs : | 617 760 | 0.006 485% |
| Suited Trips : | 858 000 | 0.009 007% |
| Suited Two Pairs : | 1 716 000 | 0.018 015% |
| Coloured One Pair : | 5 491 200 | 0.057 648% |
| Coloured High Card : | 6 512 700 | 0.068 372% |
| Suited One Pair : | 14 300 000 | 0.150 124% |
| Quads : | 15 097 680 | 0.158 499% |
| Suited High Card : | 15 936 960 | 0.167 310% |
| Straight : | 31 824 000 | 0.334 095% |
| Full House : | 33 708 480 | 0.353 879% |
| Trips : | 390 115 440 | 4.095 515% |
| Two Pairs : | 617 142 240 | 6.478 890% |
| High Card : | 4 063 924 800 | 42.663 944% |
| One Pair : | 4 327 408 800 | 45.430 055% |
Regular deck - note since there's only one colour, everything is coloured. SandC therefore means suited.
Also note that in multi-deck (as above) the hand chances of various ranks are different, e.g Full House easier than Straight.
| SandC Straight : | 40 | 0.001 539% |
| Coloured Quads : | 624 | 0.024 010% |
| Coloured Full House : | 3 744 | 0.144 058% |
| SandC High Card : | 5 108 | 0.196 540% |
| Coloured Straight : | 10 200 | 0.392 465% |
| Coloured Trips : | 54 912 | 2.112 845% |
| Coloured Two Pairs : | 123 552 | 4.753 902% |
| Coloured One Pair : | 1 098 240 | 42.256 903% |
| Coloured High Card : | 1 302 540 | 50.117 739% |
Watch these videos & tell me you still think in lying about solving the royal decks probabilities. Check out how they are over a year old! Do you have any clue what the world could do with my theorem? Every day that it goes unpublished as potentially another day which lives could be saves or problems we can't imagine are solvable could in fact actually be solvable.
https://youtu.be/Y5Zy1eocSws
https://youtu.be/2peTERMdvKg
https://youtu.be/qd1KRP5IiCw
It looks like every hand in your game can fall into one or more classes, and you just want me to classify and count all the hands by the highest ranking class. For example, in standard poker, a full house contains a pair, two pair, trips, and a full house all in the same hand. However, a hand like 22233 would only be counted as a full house because that classification ranks highest (unless you have some weird ranking where trips ranks higher than a full house).
Every video poker calculator does this classification for a 52 or larger deck at setup. It isn't hard or time consuming (milliseconds). Why exactly is it hard for a hundred card deck?
I am clearly missing something.
Quote: Mental
Every video poker calculator does this classification for a 52 or larger deck at setup. It isn't hard or time consuming (milliseconds). Why exactly is it hard for a hundred card deck?
I worked at a company 25 years ago that had a six deck poker game (312 cards).
Quote: DRichI worked at a company 25 years ago that had a six deck poker game (312 cards).
Two questions:
How did six decks improve the user experience?
Did you get exact results for probabilities or did you use shortcuts? I would blow out my memory with my current method using six decks to do anything exactly.
Quote: MentalI am new to this thread. I don't see where the difficulty lies. Possibly I don't understand the problem setup.
It looks like every hand in your game can fall into one or more classes, and you just want me to classify and count all the hands by the highest ranking class. For example, in standard poker, a full house contains a pair, two pair, trips, and a full house all in the same hand. However, a hand like 22233 would only be counted as a full house because that classification ranks highest (unless you have some weird ranking where trips ranks higher than a full house).
Every video poker calculator does this classification for a 52 or larger deck at setup. It isn't hard or time consuming (milliseconds). Why exactly is it hard for a hundred card deck?
I am clearly missing something.
I like your style ;) Instead of just assuming I lost my mind & the problem truly is easy, you are cautious because someone is telling you it's difficult& your listening to them 🙌
So the problem is that you are right that every hand can follow into multiple classes (which makes the problem seriously difficult) but in fact hand ranking can be in multiple different rankings because only the dominant ranking (least probable outcome) will apply to the hand.
Quote: MentalTwo questions:
How did six decks improve the user experience?
Did you get exact results for probabilities or did you use shortcuts? I would blow out my memory with my current method using six decks to do anything exactly.
1) So technology it's just 1 deck that has 5 different face vales, 4 different suits & 5 different colors. To call the deck a combination of decks just isn't correct since every card is unique in the deck. You aren't the 1st person to think of the royal deck as just 5 short decks combined but that's like saying your standard deck is really just 4 decks of ace though king combined and nobody says that because that sounds crazy.
2) Exact probabilities. I can tell you the exact amount of hands per each hand ranking when there are 75 million hand combinations!!!
Quote: MentalTwo questions:
How did six decks improve the user experience?
Did you get exact results for probabilities or did you use shortcuts? I would blow out my memory with my current method using six decks to do anything exactly.
It gave the patron a lot of low frequency outcomes that had high paybacks. For example a suited 5 of a kind.
I didn't do the math for that game as I was just an entry level casino programmer 25 years ago. If I had to guess it might have been Rex Carlson that did the math for that game.
Check out FIVE DECK FRENZY
31 May 1997
Las Vegas, Nev. -- If you're headed to Las Vegas, you might want to stop by the Fiesta, the Hard Rock and Gold Coast (or Harveys if you're traveling north to Tahoe). There you can participate in a market test of Five Deck Frenzy, a new progressive game recently approved by the Nevada State Gaming Control Board. Currently being tested at the Fitzgerald's in Las Vegas, the test should be expanded to the sites listed above in early June.
Five Deck Frenzy is the first joint marketing effort produced by the alliance of Shuffle Master Gaming and International Game Technology (IGT). Developed by Shuffle Master Gaming's Dr. Mark Yoseloff, Five Deck Frenzy debuted at the 1996 World Gaming Congress & Expo.
The quarter game provides a unique combination of payouts and progressive play utilizing IGT's MegaJackpot system. While traditional video poker games use a single deck of cards, Five Deck Frenzy is the first video poker game to deal cards from five separate, independent decks. The five decks provide the game with a significantly larger number of winning combinations than standard video draw poker. The progressive MegaJackpot is triggered by the top hand possible in the game - - five aces of spades - with the MegaJackpot starting at $200,000 and building as play increases.
The test period will extend into June, after which Shuffle Master and IGT expect to make the product available to the rest of the Nevada gaming market.
Quote: MentalOkay, I remember now:
Check out FIVE DECK FRENZY
31 May 1997
Las Vegas, Nev. -- If you're headed to Las Vegas, you might want to stop by the Fiesta, the Hard Rock and Gold Coast (or Harveys if you're traveling north to Tahoe). There you can participate in a market test of Five Deck Frenzy, a new progressive game recently approved by the Nevada State Gaming Control Board. Currently being tested at the Fitzgerald's in Las Vegas, the test should be expanded to the sites listed above in early June.
Five Deck Frenzy is the first joint marketing effort produced by the alliance of Shuffle Master Gaming and International Game Technology (IGT). Developed by Shuffle Master Gaming's Dr. Mark Yoseloff, Five Deck Frenzy debuted at the 1996 World Gaming Congress & Expo.
The quarter game provides a unique combination of payouts and progressive play utilizing IGT's MegaJackpot system. While traditional video poker games use a single deck of cards, Five Deck Frenzy is the first video poker game to deal cards from five separate, independent decks. The five decks provide the game with a significantly larger number of winning combinations than standard video draw poker. The progressive MegaJackpot is triggered by the top hand possible in the game - - five aces of spades - with the MegaJackpot starting at $200,000 and building as play increases.
The test period will extend into June, after which Shuffle Master and IGT expect to make the product available to the rest of the Nevada gaming market.
Oh wow, very nice find!!! I need to check this out. One of the big advantages to the Royal Deck is it's increased difficultly in obtaining its highest hand rankings. So 5 Deck Frenzy sounds like they were trying to obtain the same difficult outcomes for increasingly higher payouts. But 1 thing to note is that the Royal deck is just 1 deck instead of 5 combined decks, so there is an extra combination criterion to factor into the potential hand rankings to create even more difficult probabilities than simply combining 5 decks together. For example a royal flush won't be anywhere close to as difficult to obtain and a painted royal flush ;)
Quote: DRichIt gave the patron a lot of low frequency outcomes that had high paybacks. For example a suited 5 of a kind.
I didn't do the math for that game as I was just an entry level casino programmer 25 years ago. If I had to guess it might have been Rex Carlson that did the math for that game.
That is absolutely correct & the same reason why I created the Royal deck, to begin with! But I dygres that the Royal deck has a multitude more hand ranking probablities. The suited 5 of a kind however has the same exact odds as my Quint Flush.
Quote: USpapergamesI like your style ;) Instead of just assuming I lost my mind & the problem truly is easy, you are cautious because someone is telling you it's difficult& your listening to them 🙌
So the problem is that you are right that every hand can follow into multiple classes (which makes the problem seriously difficult) but in fact hand ranking can be in multiple different rankings because only the dominant ranking (least probable outcome) will apply to the hand.
My experience tells me the problem is easy. Since you did not explain why it this problem is difficult in response to my query, I will just assume this is an easy problem and is logically equivalent to the problem that many of us solved a long time ago.
Anyway, I have voted that way in the poll.
Quote: MentalMy experience tells me the problem is easy. Since you did not explain why it this problem is difficult in response to my query, I will just assume this is an easy problem and is logically equivalent to the problem that many of us solved a long time ago.
Anyway, I have voted that way in the poll.
Sir, with all due respect, why be like everyone else & vote when you haven't attempted to solve the problem yet? If you at least tried to solve it you would realize you're not seeing the problem for what it truly is! Let this be a lesson to always attempt to solve something before giving an opinion on the difficulty of a question; you let me down :/
Experience is meaningless when you are relating the problem to a question that is 1000x simpler to answer.
Quote: DRichIt gave the patron a lot of low frequency outcomes that had high paybacks. For example a suited 5 of a kind.
I didn't do the math for that game as I was just an entry level casino programmer 25 years ago. If I had to guess it might have been Rex Carlson that did the math for that game.
Btw there are 20 possible suited 5 of a kind hands (or Quint Flush) out of 75,287,520 hand combinations.
Quote: USpapergamesSir, with all due respect, why be like everyone else & vote when you haven't attempted to solve the problem yet? If you at least tried to solve it you would realize you're not seeing the problem for what it truly is! Let this be a lesson to always attempt to solve something before giving an opinion on the difficulty of a question; you let me down :/
Experience is meaningless when you are relating the problem to a question that is 1000x simpler to answer.
Where does the 1000 times simpler come from? Do you have another theorem that proves this.
Again. you simply assert that the problem is complex and hard to solve. I just see a slightly larger version of a problem that I solved 20 years ago.
Quote: MentalWhere does the 1000 times simpler come from? Do you have another theorem that proves this.
Again. you simply assert that the problem is complex and hard to solve. I just see a slightly larger version of a problem that I solved 20 years ago.
No sir, that is just my opinion of the magnitude in the difference between solving the hand ranking probabilities from a standard deck of cards compared to the Royal deck of playing cards.
The problem is that majority of the people have this preconceived notion that this question is a walk in the park when in reality the answer could take you your life's entire time to solve. This is without a doubt the most difficult question ever posted on WoV!
I believe my question is more difficult than yours.
Quote: HunterhillWhat is the meaning of life?
I believe my question is more difficult than yours.
Ok, you got me 👋. Most difficult math problem then ;)
Quote: HunterhillWhat is the meaning of life?
I believe my question is more difficult than yours.
There is no meaning to life. Question answered.
Quote: USpapergamesNo sir, that is just my opinion of the magnitude in the difference between solving the hand ranking probabilities from a standard deck of cards compared to the Royal deck of playing cards.
The problem is that majority of the people have this preconceived notion that this question is a walk in the park when in reality the answer could take you your life's entire time to solve. This is without a doubt the most difficult question ever posted on WoV!
I modified my video poker code to use a 100 card deck. It took me under 5 seconds to classify all the 75,287,520 hands. I did it as a 4x25 deck, but there would be no extra time involved in doing a 4x5x5 deck like yours. The Royal Deck is a just 100 playing cards with various combinations having different ranks which is the same as the problem that I just solved in 5 seconds.
As gordonm888 and other have said, the only hard part about the problem is understanding your hand chart and rules. The classifying is simple and it would take me a few minutes to code up the classification rule for each of your 40 hands. I don't really care to do that. I was just curious because you claimed that there was something hard about this problem. You never say what that is.
I now have a postconceived notion that this question is a walk in the park.
42.Quote: HunterhillWhat is the meaning of life?
I believe my question is more difficult than yours.
I used to assign poker classification for any number of decks to my Sophmore C++ students (CS-60 at UCSB). They had to figure out weird things with multiple decks, like suited 5 of a kind and such, while using object oriented programming techniques. It turned out to be one of the easiest projects for them each quarter.Quote: MentalI modified my video poker code to use a 100 card deck. It took me under 5 seconds to classify all the 75,287,520 hands. I did it as a 4x25 deck, but there would be no extra time involved in doing a 4x5x5 deck like yours. The Royal Deck is a just 100 playing cards with various combinations having different ranks which is the same as the problem that I just solved in 5 seconds.
As gordonm888 and other have said, the only hard part about the problem is understanding your hand chart and rules. The classifying is simple and it would take me a few minutes to code up the classification rule for each of your 40 hands. I don't really care to do that. I was just curious because you claimed that there was something hard about this problem. You never say what that is.
I now have a postconceived notion that this question is a walk in the park.
Quote: DRichThere is no meaning to life. Question answered.
Nihilist?
Quote: MentalI modified my video poker code to use a 100 card deck. It took me under 5 seconds to classify all the 75,287,520 hands. I did it as a 4x25 deck, but there would be no extra time involved in doing a 4x5x5 deck like yours. The Royal Deck is a just 100 playing cards with various combinations having different ranks which is the same as the problem that I just solved in 5 seconds.
As gordonm888 and other have said, the only hard part about the problem is understanding your hand chart and rules. The classifying is simple and it would take me a few minutes to code up the classification rule for each of your 40 hands. I don't really care to do that. I was just curious because you claimed that there was something hard about this problem. You never say what that is.
I now have a postconceived notion that this question is a walk in the park.
So you haven't seen my videos were I explain the hand rankings yet, have you? You obviously don't have a strong understanding of combinatorics if you think a 5c4c5 deck is the same as a 4x25 deck :(
https://youtu.be/Ns0XjRmZelM
https://youtu.be/5lX9peQzZcY
Quote: teliotI used to assign poker classification for any number of decks to my Sophmore C++ students (CS-60 at UCSB). They had to figure out weird things with multiple decks, like suited 5 of a kind and such, while using object oriented programming techniques. It turned out to be one of the easiest projects for them each quarter.
I'm sure it was but like stated earlier the Royal Deck is 1 complete deck with every card only having 1 copy of itself. It is not a combination of 5 decks, that's like saying a standard deck of cards is a combination of 4 decks of ace through king!
Please provide the probabilities if you think it's so easy to do, unless your math skills are stronger than the best mathematicians on this forum, you stand no chance of completing the task.
