Casino Two Up Rules
Two coins are tossed in the air and bets placed on a showing of two heads or two tails. The two coins are placed tails up on a flat board called the kip or paddle. The ring-keeper (the person in charge of the two-up ring) calls 'come in spinner', and the spinner tosses the coins. First recorded 1854. Deal four cards to each player and deal four cards to the middle and spread them in a line, face-up. The traditional way to deal Casino is two-by-two, to each player and the middle. The first turn goes to the player to the left of the dealer and continues clockwise. No firearms are permitted inside the casino Washington State law prohibits the carrying or possession of any firearm in the portion of an establishment classified by the Liquor and Cannabis Board as off-limits to persons under twenty-one years of age, other than by a law enforcement officer (RCW 9.41.300 (d)).
This page is based on information from Jonathan Dushoff on the versions from Swaziland and Lesotho and Faizal Asmal on the South African version.
- Swazi Casino
Introduction
This page describes some variants of Casino that are played in southern Africa. Their characteristic feature is that captured cards are kept face up, and that a played card can capture not only cards from the central layout but also the top cards of opponents capture pile. In these African games all cards (including picture cards if used) have a numerical capture value, so they can be thought of as versions of Royal Casino.
This page describes versions of Casino played in Swaziland, Lesotho and South Africa. Alexey Lobashev reports that a similar game is played at Windhoek in Namibia where it is known in the local language (Oshiwambo) as Omulongo Womadi.
Swazi Casino
This interesting version of Casino, which is popular in Swaziland, was contributed by Jonathan Dushoff. The building process is different from that of Anglo-American Casino. Captured cards are kept face up, and the top card from your pile of captures can be taken by your opponents to add to their builds.
Players, Cards and Deal
Swazi Casino is played by 2, 3 or 4 people using a standard 52 card pack. The version for 3 or 4 players is described first. When there are four players, the players sitting opposite each other are partners. The usual direction of play is anticlockwise.
For the purpose of capturing, pip cards from 2 to 10 have their face values, jacks count as 11, queens 12, kings 13 and aces 1 or 14.
The dealer shuffles the cards and the player to the dealer's right (who will be the first to play) cuts four cards out of the middle of the deck, and puts them face up in the centre of the playing area to form the initial layout, and returns the deck to the dealer (who plays last). The dealer then deals out all of the cards to the players, one at a time. The first dealer is chosen at random; subsequently the deal passes to the right after each hand.
Some people have rules disallowing certain cuts. The game is rather uninteresting if there are too many scoring cards in the layout at the start. Also, when there are four players, the pair that plays first has a big disadvantage at the end, which is balanced by their having the first chance to capture at the beginning, but the benefit of making the first move is reduced if too many big cards are cut. There are many variations, but it is suggested that if the initial layout contains either
- cards with a scoring value of three or more points (e.g. 10 and an ace), or
- three or more picture cards,
then the four cards should be put back in the pack, which is reshuffled and the cut repeated.
The play
All captured cards are kept face up in a single pile in front of the player who captured them. In the four-player version, partners share a pile. New captures are added to the top of the pile. When you capture several cards at once, you may sort the captured cards however you like. The capturing card, however, must go on top of your pile. You do not show the other players in what order you have arranged the captured cards in your pile. When playing with partnerships, you may sort the cards you capture, or if your partner is looking after your team's capture pile you may hand the cards to your partner to sort instead.
In the centre of the playing area is the layout of face up cards which are available for capture by the players. At the start of the game there are four single cards in the layout. As the game progresses, these can be captured, or further single cards can be played there. It is also possible for cards in the layout to be combined into builds - piles of cards with a specific total value which are treated as a single unit until they are captured. There are two types of build:
- a single build is a pile of cards whose value is the sum of the values of the cards in it - for example a single build of 13 could consist of a 6, a 5 and a 2.
- an augmented build consists of two or more single cards or sets of cards, each of which adds up to the same value - for example an augmented build of 12 could consist of two queens, or Q + 7+5, or 6+6 + 8+3+A, or Q + Q + 10+2 + 3+3+6, etc.
Each build has an owner, who is responsible for eventually capturing it, unless it is first changed in value or captured by another player. Single cards in the layout belong to no one in particular.
The turn to play rotates. Your turn can consist several actions, in any order. At some point during your turn you must play exactly one card from your hand. The possible actions during a turn are:
- to play a card from your hand to capture one or more single cards and/or a build from the layout;
- to form a new build of your own;
- to change the value of a build using a card from your hand;
- to create or add to an augmented build;
- to discard a single card from your hand to the layout.
Actions 1, 3 and 5 involve playing a card from your hand, so only one of these actions can be performed during a turn. Actions 2 and 4 can involve playing a card from your hand, or can be performed using only cards that are already in play. As long as no card from your hand is involved, you can perform as many of actions 2 and 4 as you wish in any order, before or after playing from your hand.
Each type of action will now be described in detail:
- If you play a card from your hand that matches a single card in the layout, that single card is captured.
- If the card you play matches the sum of several single cards in the layout, you capture that set of cards.
- If the card you play matches the value of a build, you capture that build (no matter who owns it).
Examples:
- there is a 5, a 3 and a 2 in the layout and you have a 10 in your hand; you can combine the 5, 3 and 2 into a build of 10.
- there is a 4 and a 5 in the layout and you have a 5 and an ace in your hand; you can play your 5, combining it to the 4 and 5 to make a build of 14.
- the build is currently owned by an opponent;
- you change the value by adding a single card from your hand
- you have a card in your hand that matches the new value of the build
It is never possible to break up builds, nor to combine two builds to form a build of higher value.
Note that the top card of an opponent's capture pile can only be used to augment a card or build. So before you can make use of the card, you must already have a 'base' in the layout which it can help to augment. A base is
- a build that belongs to you or your partner, or
- a single card in the layout which does not match the value of any existing build, and which either
- you could capture by matching it from your hand, or
- you can prove your partner can capture it, because your partner previously made a build of that value which was changed or taken by someone else and has not subsequently played a card of that value.
There cannot be two builds of the same capture value on the table at the same time. That means that if your opponent has (for example) a build of 13, you are not allowed to make a 13-build of your own alongside it. You can make a second build of a value which your side already owns, but your must then combine them into a single augmented build. Example: you own a 13-build and an opponent has created a single build of 9 (6+3). If you have a 4 in your hand, you can play it to increase the 9-build to 13, but you must then amalgamate this with your existing 13-build to make an augmented 13-build.
A single ace in the layout or in a player's hand or in a capture pile can be deemed to have a value of 1 or 14 according to the player who wants to use it in a build or capture. Once an ace is incorporated in a build, its value is fixed until the build is captured. If you put two aces together to make an augmented build you must choose and announce whether its value is 1 or 14.
Special rules for partnership play
If your partner owns a build whose value is then changed by an opponent, or which is captured by someone other than your partner (including yourself), then you know that your partner holds a card of the rank needed to capture that build. As long as your partner does not play a card of this rank, you are allowed to create a new single or augmented build of this rank, which will be owned by your partner. This is the only circumstance in which you can build for your partner, no matter how completely obvious it is that your partner has the card in question from other cues.
If your partner plays a card that captures a build belonging to you or your partner, and you have a card of that rank in your hand, you may ask your partner not to capture the build. Your partner may ignore your request and capture the build anyway, or may instead use the played card to augment the build, in which case you take over ownership of the build.
The end of the play and the scoring
When all the cards have been played, whoever made the last capture takes whatever cards are left in the layout.
Each player or team then scores for the cards in their capture pile as follows:
Player (or team) with most cards | 2 points (if tied the tieing players get one point each) |
Player (team) with most spades | 2 points (if tied the tieing players get one point each) |
Two of spades ('spy two') | 1 point |
Ten of diamonds ('big ten') | 2 points |
Aces | 1 point each |
Thus a total of 11 points are scored for each deal.
Note that there is no extra score for sweeps (capturing all cards from the layout)
Swazi Casino: Two-player version
In the standard two-player version, after the cut twelve cards are dealt out to each player, and when these have been played another twelve each are dealt. While playing your first twelve cards, there are two extra restrictions:
- It is illegal to discard a card without capturing while you own a build.
- you are not allowed to have more than one build at the end of your turn (you may, however, make a second build for the purposes of stealing cards from your opponent, as long as you chow one of the two builds at the end of the turn).
After the first twelve cards have been played, the layout is left intact and the remaining cards are dealt. When playing your second twelve cards, the rules of play are as in three or four-player casino, without the above restrictions.
An alternate two-player version is sometimes called 'crazy casino'. In this version, each player is dealt eight cards, and the remainder form a face-down drawing pile from which you pick up a card after each play, to keep eight cards in your hand, until all of the cards are gone. In this version, the first of the two restrictions above - that you may not discard while you are building - applies until there are no cards left in the drawing pile. The rule against more than one build is sometimes also enforced, but Jonathan Dushoff suggests that this version of the game is better without it.
Notes on tactics
The tactics of this game centre around the builds - especially builds of high value. Suppose for example that early in the game you find that you (or your team) have a monopoly of aces. Then you can make a build of 14 that the other team cannot touch, and at every opportunity you augment it with more sets of cards adding up to 14. Right at the end you capture a huge pile of cards with your last ace.
Sometimes there will be rival piles - for example one player (or team) building 14's and another building 12's. Build piles with a high capture value are most powerful, because they are easy to augment. If you have a smaller value build pile - say nines - then it will be safe for your opponents to play a 10 or higher, because these cards cannot be incorporated in your build. If your opponent has a pile of 13's or 14's, all your cards are potentially at risk. If your opponent has a 13-build and you capture with (say) a 10, your opponent may play a 3 from hand and then take your 10 together with the 3 to augment the build.
A large part of the tactics of the game is correct timing of when to capture. Although the ultimate objective is to capture cards, capturing early can put you at a disadvantage, especially in the three-player game, because your capture pile then becomes available to your opponents to augment their builds. Because large value piles are so powerful, it is particularly important not to release your queens, kings and aces too early if this may give your opponent a monopoly. To exploit this, if you and another player have (say) a king each, you might start a 13-build early in the game to tempt your opponent to capture it, leaving you with a 13 monopoly.
Drifting can be used as a way of signalling to your partner. Drifting is only safe when you know that your opponents have no more of the card in question, or when you know that you and your partner combined will still have two left. Therefore a drift by the player who owns the pile signals that he or she has two more of the card in question; a drift by the other partner signals one more of the card in question (unless the card played is appearing for the third time, in which case the build is safe anyway). Players may drift reciprocally, so that both can be assured that the build is safe. For example, my partner builds kings, and I have two. I might drift a king. If she also has two, then she knows that our build is safe, and should then drift back at an early opportunity so that I will know, too.
Sotho Casino
Sotho casino differs from Swazi casino in that the picture cards lose their numerical value, and an ace can only be one. Cards taken to the capture pile may not be sorted, but are left in whatever order they accumulated on the build pile, with the capturing card on top. Partners keep separate piles, and you may steal your partner's top card to help augment a build. Picture cards are placed in the capture pile beneath all the numeral cards but above other picture cards. You may give your partner picture cards you capture to store in your partner's pile (it seems unlikely that this would be very useful, but they do it).
Alexey Lobashev reports that the players he met in Lesotho play only with a 40-card pack without pictures, as in South Africa (see below).
South African Casino
Faizal Asmal provided a short description of a version of Casino that is popular in South Africa. This resembles the Swazi and Sotho versions in that cards can be taken from an opponent's capture pile, but the detailed rules are somewhat different. The South African game can be played by two, three of four players. It is played with a 40 card pack, obtained by removing all the pictures from a standard 52 card pack.
The first dealer is chosen at random. In subsequent hands the previous loser is the first person to be dealt cards, and also starts the game. If there are two players, 10 cards are dealt to each player and there is a second deal of 10 cards when these have all been played. For the three player game, 13 cards are dealt to each player and one is placed face up on the table. For the four player game, 10 cards are dealt to each player.
Note that with two or four players there are no face up cards on the table at the start, so the first player cannot capture but must simply play a card. In South Africa, playing a card without capturing is called drifting.
All captured cards are kept face up in a single pile in front of the player who captured them. New captures are added to the top of the pile. When you capture several cards at once, they must be placed on your pile in numerical order, with the lowest card on top. The top card of each player's capture pile is available to be captured by other players along with the face up cards on the table.
If you have a build on the table you are not allowed simply to drift; you must either add to your build or capture something.
A player who already has a build on the table may steal the top card of a player's capture pile to incorporate into the build, provided that the building player simultaneously adds a card to the build from hand. Example: Player A has a seven and two eights in hand; on the table is a build of 8's and a lone seven; the top card of player B's capture pile is an ace. Player A has various options:
- play his seven, steal player B's ace and add both to his build of eights;
- add one of his eights to his build;
- play one of his eights, capturing his build, the loose seven on the table, and the ace from player B's pile.
When there are two players, after both players have played their first ten cards there is another deal of ten cards each. In this second phase the rules are slightly different: players are always allowed to drift, even if they have a build on the table.
When all the cards have been played, whoever made the last capture takes whatever cards are left in the centre of the table.
The scores are as follows:
- Player with most cards: 2 points (if tied the tying players get one point each)
- For having at least five spades: 1 point
- Two of spades: 1 point
- Ten of diamonds: 2 points
- Aces: 1 point each
On This Page
Introduction
Casino Hold 'Em is a poker variation, similar to Texas Hold 'Em, that is played in Egypt, Russia, South Africa, Holland, Latvia, Estonia, Ireland, Morocco, Malta, Ukraine, Panama, and Romania. It is also available to play online at casinos using Net Gaming, Real Time Gaming, Playtech, Gamesys, and Galewind Software.
The game also goes by the name Casino Hold 'Em Open. Under this name, the rules are the same except the player hole cards are dealt face up. In normal Casino Hold 'Em they are dealt face down.
Rules
The rules are as follows.
- Play begins with each player making an Ante wager. There is also an optional Progressive Jackpot side bet.
- The dealer gives the player and himself two hole cards and three community cards face up on the table.
- Each player must decide to either fold or call. If the player folds, then he gives up his cards and his Ante bet. If the player calls, then the Call bet must be equal to two times the Ante bet.
- The dealer will then deal two more community cards, for a total of five. The dealer will then turn over his own two cards.
- Both hands shall be scored according the highest poker value of the two hole cards and five community cards.
- The dealer must have a pair of fours or better to qualify. If the dealer does not qualify then the Ante will pay according to the Ante pay table below and the Call bet will push.
- If the dealer qualifies and beats the player, then the player will lose both the Ante and Call.
- If the dealer qualifies and the player beats the dealer then the Ante will pay according to the Ante pay table below and the Call bet will pay 1 to 1.
- If the dealer qualifies and the player ties the dealer then both Ante and Call bets will push.
- The Progressive Jackpot side bet pays based on the player's final seven card hand only, even if the player folded or loses to the dealer. More on this bet at the bottom of the page.
Ante Pay Table
Hand | Table 1 | Table 2 | Table 3 | Table 4 |
---|---|---|---|---|
Royal flush | 20 | 25 | 100 | 100 |
Straight flush | 20 | 25 | 20 | 49 |
4 of a kind | 10 | 12 | 10 | 17 |
Full house | 3 | 3 | 3 | 3 |
Flush | 2 | 2 | 2 | 2 |
All other | 1 | 1 | 1 | 1 |
Caribbean Hold 'Em Warning
Be warned that Realtime Gaming has an imitation of this game called Caribbean Hold 'Em. However, they pay 1 to 1 on the Ante if the dealer doesn't qualify, as opposed to the full Ante Bonus pay table. Nowhere is this rule change disclosed in their game rules, I might add.
Analysis
The following table shows the number of combination, probability, and contribution to the return of all possible outcomes under ante pay table 3, which I'm told is the most frequently used. The lower right cell shows a house edge of 2.16%.
Two-up Casino Game Rules
Return Table — Pay Table 3Expand
Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Player wins with royal flush | 102 | 736259040 | 0.000026 | 0.002700 |
Player has royal flush, dealer doesn't qualify | 100 | 119892960 | 0.000004 | 0.000431 |
Player wins with straight flush | 22 | 6001122284 | 0.000216 | 0.004747 |
Player has straight flush, dealer doesn't qualify | 20 | 1089672828 | 0.000039 | 0.000784 |
Player wins with four of a kind | 12 | 41419896552 | 0.001489 | 0.01787 |
Player has four of a kind, dealer doesn't qualify | 10 | 909499320 | 0.000033 | 0.000327 |
Player wins with full house | 5 | 589505037660 | 0.021195 | 0.105973 |
Player wins with flush | 4 | 505131419580 | 0.018161 | 0.072645 |
Player wins with straight or less | 3 | 6426670016572 | 0.23106 | 0.693181 |
Player has full house, dealer doesn't qualify | 3 | 24601676832 | 0.000885 | 0.002654 |
Player has flush, dealer doesn't qualify | 2 | 168883536432 | 0.006072 | 0.012144 |
Player has straight or less, dealer doesn't qualify | 1 | 5521376219148 | 0.198512 | 0.198512 |
Tie | 0 | 678596916580 | 0.024398 | 0 |
Player folds | -1 | 5009067102600 | 0.180093 | -0.180093 |
Player loses | -3 | 8839701755612 | 0.317817 | -0.953451 |
Total | 27813810024000 | 1 | -0.021576 |
The following return table is four pay table 4. The lower right cell shows a house edge of 0.35%. This pay table can be found at Internet casinos using Gamesys N.V. software titled 'Casino Hold 'Em with Zero House Edge.' As you can see, the 'Zero House Edge' part is a misnomer. The player must pay a 10% commission on any net gambling win per session. A 'session' ends after a period of one hour with no bet or 24 hours, whichever happens first.
The owner of Casino Hold 'Em wishes for me to state that Gamesys N.V. is using his game without permission.
Return Table — Pay Table 4Expand
Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Player wins with royal flush | 102 | 736,259,040 | 0.000026 | 0.002700 |
Player has royal flush, dealer doesn't qualify | 100 | 119,892,960 | 0.000004 | 0.000431 |
Player wins with straight flush | 51 | 6,031,161,932 | 0.000217 | 0.011059 |
Player has straight flush, dealer doesn't qualify | 49 | 1,096,758,936 | 0.000039 | 0.001932 |
Player wins with four of a kind | 19 | 41,421,337,056 | 0.001489 | 0.028295 |
Player has four of a kind, dealer doesn't qualify | 17 | 909,634,104 | 0.000033 | 0.000556 |
Player wins with full house | 5 | 589,638,417,816 | 0.021199 | 0.105997 |
Player wins with flush | 4 | 505,727,272,920 | 0.018183 | 0.072730 |
Player wins with straight or less | 3 | 6,429,871,396,516 | 0.231175 | 0.693526 |
Player has full house, dealer doesn't qualify | 3 | 24,601,738,176 | 0.000885 | 0.002654 |
Player has flush, dealer doesn't qualify | 2 | 169,051,416,912 | 0.006078 | 0.012156 |
Player has straight or less, dealer doesn't qualify | 1 | 5,526,154,486,512 | 0.198684 | 0.198684 |
Tie | 0 | 679,763,871,140 | 0.024440 | 0.000000 |
Player folds | -1 | 4,984,375,678,920 | 0.179205 | -0.179205 |
Player loses | -3 | 8,854,310,701,060 | 0.318342 | -0.955027 |
Total | 27,813,810,024,000 | 1.000000 | -0.003511 |
I would like to thank Stephen How of Discount Gambling for supplying the combinations in pay table 4.
The only pay tables fully analyzed are 3 and 4, because it takes my computer about a month to cycle through all possible combinations. However, assuming the player was following optimal strategy under pay table 3 but playing under pay table 1 or 2, the house edge under pay table 1 would be 2.40%, and under pay table 2 would be 1.96%. The actual house edge under pay tables 1 and 2 would be slightly less or equal to these figures.
Strategy
Unfortunately, there is no easy way to quantify optimal strategy for this game. I can say that the optimal strategy player will raise 82% of the time. So only in the worst 18% of hands should the player fold. In general these are when the player has two singletons in the hole that are low compared to the flop, with little or no chance for a straight or flush.
Side Bets
The only side bet I am aware of for this game is known as the AA+. It pays based on the poker value of the player's hand after the flop. There are three known pay tables, as follows:
AA+ Pay Tables
Hand | Pay Table 1 | Pay Table 2 | Pay Table 3 |
---|---|---|---|
Royal Flush | 25 | 100 | 100 |
Straight flush | 25 | 50 | 50 |
4 of a kind | 25 | 40 | 40 |
Full house | 25 | 30 | 30 |
Flush | 25 | 20 | 20 |
Straight | 7 | 7 | 10 |
Three of a kind | 7 | 7 | 8 |
Two pair | 7 | 7 | 7 |
Pair of aces | 7 | 7 | 7 |
House edge | 6.40% | 6.26% | 2.97% |
Pay tables 1 and 2 can be found in land casinos. Pay table 3 is used by Internet casinos using Gamesys software.
As an example, following is the full return table for Pay Table 1.
AA+ Side Bet — Pay Table 1
Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Royal Flush | 25 | 4 | 0.000002 | 0.000038 |
Straight flush | 25 | 36 | 0.000014 | 0.000346 |
4 of a kind | 25 | 624 | 0.000240 | 0.006002 |
Full house | 25 | 3744 | 0.001441 | 0.036014 |
Flush | 25 | 5108 | 0.001965 | 0.049135 |
Straight | 7 | 10200 | 0.003925 | 0.027473 |
Three of a kind | 7 | 54912 | 0.021128 | 0.147899 |
Two pair | 7 | 123552 | 0.047539 | 0.332773 |
Pair of aces | 7 | 84480 | 0.032505 | 0.227537 |
Other | -1 | 2316300 | 0.891241 | -0.891241 |
Total | 2598960 | 1 | -0.064023 |
Progressive Jackpot
The Progressive Jackpot bet shall pay based on the player's two hole cards and the five community cards only. It does not matter whether or not the player folds or loses to the dealer. In the event of a straight flush or royal flush on the board, all players who made the Progressive Jackpot bet shall split the win.
The following table shows the probability and contribution to the return for each event. Obviously, the return from the top two awards will depend on the jackpot size, so are treated as unknowns.
Progressive Jackpot
Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Royal flush | Jackpot | 4,324 | 0.000032 | x |
Straight flush | 10% of Jackpot | 37,260 | 0.000279 | y |
4 of a kind | $100.00 | 224,848 | 0.001681 | 0.168100 |
Full house | $10.00 | 3,473,184 | 0.025961 | 0.259610 |
Other | $0.00 | 130,044,944 | 0.972047 | 0.000000 |
Total | $0.00 | 133,784,560 | 1.000000 | 0.487931+x+y |
The table above shows the fixed wins return 42.77% of the amount bet. Assuming the player is playing alone, for every $1,000 in the meter the return will increase by 6.02%. Under the same assumption, the break-even point is $9,503.22. Due to jackpot sharing, the return will go down slightly according to the number of other players making the bet.
Jumbo Jackpot
There is another progressive jackpot called the 'Jumbo Jackpot.' The following table shows the wins, probabilities and the contribution to the return for each type of winning hand.
Casino Two Up Rules Free
Jumbo Jackpot
Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
7-card straight flush | ? | 32 | 0.00000024 | x |
6-card straight flush | $5,000.00 | 752 | 0.00000562 | 0.028105 |
5-card straight flush | $250.00 | 40,800 | 0.00030497 | 0.076242 |
4 of a kind | $50.00 | 224,848 | 0.00168067 | 0.084034 |
Full house | $5.00 | 3,473,184 | 0.02596102 | 0.129805 |
Flush | $4.00 | 4,047,644 | 0.03025494 | 0.121020 |
Straight | $2.00 | 6,180,020 | 0.04619382 | 0.092388 |
Other | $0.00 | 119,817,280 | 0.89559871 | 0.000000 |
Total | $0.00 | 133,784,560 | 1.00000000 | 0.531593 |
The return for the top award depends on the amount in the jackpot. I can say that all the other wins return 53.16% of money bet. For every 100,000 bet units in the meter the return increases by 2.39%. At a jackpot of $1,958,300.75 the return reaches 100%.
Progressive Jackpot Side Bet
Casino Two Up Rules Explained
There is yet another side bet based on the player's first two cards and the three-card flop. I put information about it in my page titled Casino Hold Em Progressive Jackpot Side Bet'.
Casino Razz Bonus
I believe this side bet pays according to the poker value of the player's two hole cards and the three cards on the flop -- the lower the poker value, the more it pays. For all the rules and analysis, please see my page on Casino Razz Bonus.
Methodology
Casino Two Up Rules Printable
The above analysis was performed using a brute force combinatorial program that analyzed all 27,813,810,024,000 possible outcomes, and played every hand according to optimal player strategy. It took my computers about a month to crank though the 27.8 trillion hands.
External Links
Casino Two Up Rules Card Game
The web site for Casino Hold'em, as well as other games, is www.casinopokergames.com.
There is a good Casino Hold 'Em calculator at beatingbonuses.com.
Written by:Michael Shackleford