Ez Pai Gow

2021年3月16日
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EZ Pai Gow
The object of the game is to create two poker hands that rank higher than the Dealer’s. In EZ Pai Gow, each Player’s hand is compared to the Dealer’s hand; there is no option for the Player to bank. EZ Pai Gow plays the same as the regular game with an important exception: EZ Pai Gow replaces the taking of the commission on every player’s winning hand by pushing one specific Dealer’s hand – a Queen high Pai Gow. A Pai Gow is a hand of seven different ranks which does not contain a straight, a flush, a straight flush, or a royal flush. It is a hand defined by a high card. If the Dealer’s hand is a Pai Gow with the highest card being a Queen, then the player’s wager on the base game will push regardless of whether the player’s hand would otherwise win or lose. The appearance of this hand is called the Queen’s Dragon™. Game Overview
Rev-July 2012 EZ Pai Gow Poker™ - WA Commercial Card Rooms 5 4. At the discretion of the casino, players can be offered the option to place a bonus wager called the EZ Pai Gow Protection bet. The EZ Pai Gow Protection bet is a low hand bet against a pay table. See pay table for odds. All wagers must be placed before the cards are dealt. Sep 11, 2019 Introduction EZ Pai Gow Poker is a commission-free pai gow poker variant. Instead of the usual 5% commission, if the dealer has exactly a queen high 5-card hand, then the hand will automatically resolve in a push. In addition, there are four side bets the player may wager on.
*A maximum of six players may participate.
*EZ Pai Gow is played with one deck of standard playing cards (52 cards), plus one Joker. The cards are either manually shuffled or by using an automatic shuffler. The Joker can be used as an Ace or to complete a straight, flush or straight flush.
*Hands are played and ranked as traditional poker hands, except that A-2-3-4-5 (Bike) is the second highest straight, beaten only by an A-K-Q-J-10 Straight, and the five card hand must be higher than the two card hand.
*An EZ Pai Gow hand consists of two separate hands; a five card hand (high hand) and a two card hand (low hand).
*All bets must be placed prior to the Dealer announcing “no more bets”. No additional bets will be accepted, and Players are not permitted to alter or touch any bet wagered once the dealer has announced “no more bets”.
*Players cannot look at their cards until the Dealer has verified that all cards are accounted for and ensured that the correct number of cards are in play.
*Each Player is required to keep their cards over the table and in full view of the Dealer at all times.
*Once each Player has set their hands and placed them on the appropriate spots, Players may not touch their cards again.Offered at ...On This PageIntroduction
EZ Pai Gow Poker is a commission-free pai gow poker variant. Instead of the usual 5% commission, if the dealer has exactly a queen high 5-card hand, then the hand will automatically resolve in a push. In addition, there are four side bets the player may wager on. There is also a fully-wild joker version is available to play in California. Rules
The rules are the same as conventional pai gow poker, except:
*There is no commission.
*If the dealer has a queen-high hand, meaning the poker-value of the best five-card hand is exactly a queen high, the hand will automatically result in a push.
*Most casinos do not allow player banking. If they do, then the rules revert to normal pai gow poker for that hand.
*There are various side bets available, described separtely below. Strategy
My strategy advice is that same as that for conventional pai gow poker. If you don’t have time to study it, then if in doubt, ask the dealer to set your hand by the house way.Analysis
The following table shows the probability and return from each outcome. The lower right cell shows a house edge of 2.47%. EZ Pai Gow Poker Return Table — Partially Wild JokerEventPaysProbabilityReturnWin10.2745970.274597Push00.4261120Lose-10.299291-0.299291Total1-0.024694Side Bets
There are lots of side bets that are available for casino management to tack onto EZ Pai Gow Poker. Here are some that I know of. You won’t see all of these at any one table, probably just two or three of them. Dynasty Bonus
Similar to the Fortune Bonus in conventional pai gow, the Dynasty Bonus pays if the player?s best five-card hand is at least a three of a kind. It does not matter how the player sets his hand. If another player gets a four of a kind or higher, the player will win an ’Envy Bonus.’ The following table shows what each hand pays for both the player’s hand and the Envy Bonus. The cell bottom row in the second to last column shows a house edge of 8.16%, before considering the Envy Bonus. The cell in the bottom row and last column shows that each additional player lower the house edge by 0.90%, because of the Envy Bonus.
Version 1
In this version the player has to bet only $1 to qualify for the Envy Bonus.Dynasty Bonus Return Table — Version 1EventDynasty PaysEnvy BonusCombinationsProbabilityDynasty ReturnEnvy BonusA-5 Straight Flush + Natural AQ Suited2000$100120.0000000.0001560.000008Natural 7-card Straight Flush2000$80320.0000000.0004150.000017Wild 7-card Straight Flush1000$401960.0000010.0012720.000051Royal Flush + Natural AQ Suited1000$60720.0000000.0004670.000028Five Aces500$2011280.0000070.0036590.000146Royal Flush120$10260200.0001690.0202570.001688A-5 Straight Flush120$1543080.0000280.0033540.000419Straight Flush50$41803240.0011700.0584920.004679Four of a Kind25$13074720.0019950.0498680.001995Full House5$041885280.0271730.1358650.000000Flush4$061720880.0400410.1601650.000000Three of a Kind3$076725000.0497750.1493260.000000Straight2$0110342040.0715840.1431680.000000Losing combinations-1$01245561960.808056-0.8080560.000000Total1541430801.000000-0.0815930.009031
The next table shows the overall house edge according to the number of players, including yourself, and various bet amounts. Note that the high edge is lowest at a bet of $1. This is because the win for the Envy Bonus is the same, regardless how much the player bets.Dynasty Bonus House Edge — Version 1Players$1 bet$2 bet$3 bet$5 bet$10 bet63.64%5.90%6.65%7.26%7.71%54.55%6.35%6.96%7.44%7.80%45.45%6.80%7.26%7.62%7.89%36.35%7.26%7.56%7.80%7.98%27.26%7.71%7.86%7.98%8.07%18.16%8.16%8.16%8.16%8.16%
Version 2
In this version the player has to bet $5 to qualify for the Envy Bonus, which are usually five times as large as the Envy Bonuses in version 1.Dynasty Bonus Return Table — Version 2EventDynasty PaysEnvy BonusCombinationsProbabilityDynasty ReturnEnvy BonusA-5 Straight Flush + Natural AQ Suited2000$500120.0000000.0001560.000008Natural 7-card Straight Flush2000$400320.0000000.0004150.000017Royal Flush + Natural AQ Suited1000$300720.0000000.0004670.000028Wild 7-card Straight Flush1000$2001960.0000010.0012720.000051Five Aces500$10011280.0000070.0036590.000146Royal Flush120$75260200.0001690.0202570.002532A-5 Straight Flush120$5043080.0000280.0033540.000279Straight Flush50$201803240.0011700.0584920.004679Four of a Kind25$53074720.0019950.0498680.001995Full House5$041885280.0271730.1358650.000000Flush4$061720880.0400410.1601650.000000Three of a Kind3$076725000.0497750.1493260.000000Straight2$0110342040.0715840.1431680.000000Losing combinations-1$01245561960.808056-0.8080560.000000Total1541430801.000000-0.0815930.009735
The next table shows the overall house edge according to the number of players, including yourself, and various bet amounts. Note that the high edge is lowest at a bet of $1. This is because the win for the Envy Bonus is the same, regardless how much the player bets.Dynasty Bonus House Edge — Version 2Players$5 bet$10 bet$15 bet$20 bet$25 bet63.64%5.90%6.65%7.03%7.26%54.55%6.35%6.96%7.26%7.44%45.45%6.80%7.26%7.48%7.62%36.35%7.26%7.56%7.71%7.80%27.26%7.71%7.86%7.93%7.98%18.16%8.16%8.16%8.16%8.16%Bonus Bet
This is very similar to the Dynasty Bonus, and is paired with games offering the G3 electronic side bet wagering. As far as I can tell at the Rampart casino, it is just titled the ’Bonus Bet.’ Bonus Bet Return TableEventDynasty PaysEnvy BonusCombinationsProbabilityDynasty ReturnEnvy BonusNatural 7-card Straight Flush8000$5000320.0000000.0016610.000208Royal Flush + Natural AQ Suited2000$1000720.0000000.0009340.000093Wild 7-card Straight Flush1000$5001960.0000010.0012720.000127Five Aces400$25011280.0000070.0029270.000366Royal Flush150$50260200.0001690.0253210.001688Straight Flush50$201846440.0011980.0598940.004791Four of a Kind25$53074720.0019950.0498680.001995Full House5$041885280.0271730.1358650.000000Flush4$061720880.0400410.1601650.000000Three of a Kind3$076725000.0497750.1493260.000000Straight2$0110342040.0715840.1431680.000000Losing combinations-1$01245561960.808056-0.8080560.000000Total:1541430801.000000-0.0776560.009268
The next table shows the overall house edge according to the number of players, including yourself, and various bet amounts. Note that the high edge is lowest at a bet of $1. This is because the win for the Envy Bonus is the same, regardless how much the player bets.Bonus Bet House EdgePlayers$1-$4 bet$5 bet$10 bet$15 bet$25 bet67.77%3.13%5.45%6.22%6.84%57.77%4.06%5.91%6.53%7.02%47.77%4.99%6.38%6.84%7.21%37.77%5.91%6.84%7.15%7.39%27.77%6.84%7.30%7.46%7.58%17.77%7.77%7.77%7.77%7.77%Protection
Similar to Pai Gow Insurance, the Protection bet pays if the player?s best five-card hand is an ace high or less. The following table shows what each event pays, the probability, and contribution to the return. The lower right cell shows a house edge of 7.01%.Protection Return TableEventPaysCombinationsProbabilityReturnA-5 Straight flush12043200.0000280.0033639 High Pai Gow100310800.0002020.020163T High Pai Gow252486400.0016130.040326J High Pai Gow159634800.0062510.093758Q High Pai Gow727195000.0176430.123499K High Pai Gow563869400.0414350.207176A High Pai Gow3144307800.0936190.280858Non-Pai Gow-11293583400.83921-0.83921Total:1541430801-0.070066Red/Black
The Red/Black wagers pay if the chosen color is in the majority of the player?s cards. In other words, the player needs at least four cards of the chosen side to win. The joker counts as neither color. The following table shows what each event pays, the probability, and contribution to the return. The lower right cell shows a house edge of 2.68%.Protection Return TableEventPaysCombinationsProbabilityReturn756578000.0042670.0213374 to 61730337400.4738050.4738050 to 3-1804515400.521928-0.521928Total1541430801-0.026786Queen’s Dragon
The Queen’s Dragon pays if the dealer has exactly a queen-high pai gow hand. Winning bets may pay 45 or 50 to 1, depending on how generous/stingy casino management is. The following two return tables show the house edge is 18.84% at 45 to 1, and 10.02% at 50 to 1.Queen’s Dragon — 45 to 1EventPaysCombinationsProbabilityReturnQueen-high pai gow452,719,5000.0176430.793921Lose-1151,423,5800.982357-0.982357Total154,143,0801.000000-0.188436Queen’s Dragon — 50 to 1EventPaysCombinationsProbabilityReturnQueen-high pai gow502,719,5000.0176430.882135Lose-1151,423,5800.982357-0.982357Total154,143,0801.000000-0.100222Progressive Pai Gow
This is a progressive side bet found with G3 electronic betting units. The player may bet $1 to $25. All jackpot wins are the same, regardless of bet size, so I would never bet more than $1. As usual with progressive bets, wins are on a ’for one’ basis. That means you don’t get your original bet back, even if you win. To be consistent with other pages on this site, the following page is on a ’return basis,’ meaning what the player can expect to get back for his bet, based on a $1 bet. Progressive Pai GowEventPaysCombinationsProbabilityReturn7-card Straight FlushJackpot$2280.0000010.000000Five Aces0.1×Jackpot$1,1280.0000070.000000Royal Flush$500$26,0920.0001690.084636Straight Flush$100$184,6440.0011980.119787Four of a Kind$75$307,4720.0019950.149604Full House$4$4,188,5280.0271730.108692All other0$149,434,9880.9694560.000000Total154,143,0801.0000000.462719
The bottom right corner shows a return of 46.27% on all fixed wins. The value of the progressive is 22.11% for each $100,000 in the meter. To reach 100% the meter would need to be $243,011.06. When I saw this bet at the Rampart casino on March 17, 2011, the meter was at $207,361, for a return of 92.12%. This was probably unusually high, because the Rampart has had a truck with a big sign in the back drive around Summerlin promoting the large jackpot.Ez Pai GowAcknowledgementFree Pai Gow
I would like to thank game inventor Dan Lubin and mathematician Charles Mousseau of Future Sight Gaming for providing me the mathematical analysis report of this game, which this page is based on. Ez Pai Gow Poker OddsPai Gow Poker RulesWritten by:Michael Shackleford
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