Blackjack Royal Match Odds
2021年7月3日Register here: http://gg.gg/v8koc
Royal Match 21 is an optional bonus bet for Blackjack that considers the first two cards the player receives. If the cards are the same suit, or a Royal Match (a King and Queen in suit), the player wins. To begin each round, players make their standard Blackjack wagers and, if they like, the Royal Match wager. It was very interesting to see that your odds of scoring the royal match are about 3 in 1,000, I asked the pit boss at my casino and he said they didn’t have that information, isn’t that illegal? Well it looks like the general suit match payout is the all important one.
*Appendices
*Miscellaneous
*External LinksIntroduction
The royal match is a simple bet that pays a bonus if the first two cards are suited (an easy match) and a top bonus for a suited king and queen (a royal match). Below are probability tables for various versions I have seen through the years. Pompano poker room.Royal Match — Version 1 — Six DecksEventPaysCombinationsProbabilityReturnRoyal match251440.0029680.074202Easy match2.511,8680.2446200.611551No match-136,5040.752412-0.752412Total48,5161.000000-0.066658Royal Match — Version 2 — One DeckEventPaysCombinationsProbabilityReturnRoyal match1040.0030170.030166Easy match33080.2322780.696833No match-11,0140.764706-0.764706Total1,3261.000000-0.037707Blackjack Royal Match Odds Calculator
The following table displays the house edge for each version given the number of decks used.Royal Match House EdgeNumber of DecksVersion 1Version 210.1085970.03770720.0832710.00821540.070792-0.00631760.066658-0.01113080.064597-0.013531
The probabilities for the royal match are easy to derive.Lets use n for the number of decks of cards. The number of two card combinations is combin(52×n,2). The number of ways to make a royal match is 4*n2. This is because there are 4 suits and n ways to choose the queen and n ways to choose the king. The number of ways to make an easy match is 4×(combin(13×n,2)-n2). The 4 is the number of suits and combin(13×n,2) is the number of ways to arrange 2cards from a given suit. You must also subtract the number of ways to make a royal match.
The probability of an easy match is 4×(combin(13×n,2)-n2)/combin(52×n,2).Blackjack Royal Match Odds
The probability of a royal match is 4×n2/combin(52×n,2).Royal Match - Version 3
In a third version there is a separate pay for a suited blackjack as follows.
*Royal Match pays 25 to 1
*Suited Blackjack pays 5 to 1
*Easy Match pays 5 to 2
The following table shows the expected value for a 6-deck game is -3.70%.Royal Match Version 3- Six DecksHandCombinationsProbabilityPaysReturnRoyal match1440.002968250.074202Suited blackjack5760.01187250.059362All other matches112920.2327482.50.58187Loss365040.752412-1-0.752412Total485161-0.036977
The next table shows the house edge for various number of decks for version 3.Royal Match Version 3- 1 to 8 DecksDecksHouse Edge17.84%25.34%34.52%44.11%53.86%63.70%73.58%83.49%Royal Match - Version 4
The Shufflemaster TMS 300 is an electronic blackjack game, played facing a giant video screen of a dealer. It features a Royal Match side bet, adding a pay for the player and dealer both having a royal match. Following is the return table for six decks.Royal Match — Version 4 — Six DecksEventPaysCombinationsProbabilityReturnPlayer and Dealer Royal Match1000191520.0000080.008242Player royal match2568777280.002960.073996Suited2.55684178600.244620.611551Loser-117483590800.752412-0.752412Total23236738201-0.058622
The next table shows the house edge by number of decks.Royal Match — Version 4 — 1-8 DecksNumber
of DecksHouse
Edge110.14%27.59%36.73%46.3%56.04%65.86%75.74%85.64%Royal Match — Version 5Blackjack Royal Match Odds Explained
Version 5 of the Royal Match is a progressive jackpot on ShuffleMaster TableMax units. These are the electronic blackjack games with a big screen, usually showing a pretty and very buxom dealer.
In this version, the side bet is always $1. It pays a progressive jackpot for a ’Crown Treasure,’ which is both the dealer and player having a Royal Match. Smaller pays are $60 for a player only royal match, and $10 for a player straight flush, which I assume means the player’s first two cards are suited and consecutive, including A-2.
There is also a $500 envy bonus, which pays if you make the side bet, and another player gets a Crown Treasure. The other player does not have to make the side bet for other players to qualify for the Envy Bonus.
The following table shows a hypothetical return table, for six decks, a $10,000 jackpot, and no other players.Six-Deck Progressive Royal Match — $10,000 Jackpot and No Other PlayersEventPaysCombinationsProbabilityReturnCrown Treasure$10,00019,152.000.0000080.082421Royal Match$606,877,728.000.0029600.177591Straight Flush$1082,762,560.000.0356170.356171Loser$02,234,014,380.000.9614150.000000Total2,323,673,820.001.0000000.616183
The general formula for the return in a six-deck game is 0.533762 + 0.082421×j + 0.004121× p, where j is the jackpot divided by $10,000, and p is the number of other players (not counting yourself).
The next table shows the breakeven points, in which the expected return is exactly 100%, given the number of other players, in a six-deck game.Progressive Royal Match Breakeven PointsOther PlayersBreakeven Point6$53,567.705$54,067.704$54,567.703$55,067.702$55,567.701$56,067.700$56,567.70
Royal Match Blackjack OddsWritten by: Michael Shackleford
Register here: http://gg.gg/v8koc
https://diarynote.indered.space
Royal Match 21 is an optional bonus bet for Blackjack that considers the first two cards the player receives. If the cards are the same suit, or a Royal Match (a King and Queen in suit), the player wins. To begin each round, players make their standard Blackjack wagers and, if they like, the Royal Match wager. It was very interesting to see that your odds of scoring the royal match are about 3 in 1,000, I asked the pit boss at my casino and he said they didn’t have that information, isn’t that illegal? Well it looks like the general suit match payout is the all important one.
*Appendices
*Miscellaneous
*External LinksIntroduction
The royal match is a simple bet that pays a bonus if the first two cards are suited (an easy match) and a top bonus for a suited king and queen (a royal match). Below are probability tables for various versions I have seen through the years. Pompano poker room.Royal Match — Version 1 — Six DecksEventPaysCombinationsProbabilityReturnRoyal match251440.0029680.074202Easy match2.511,8680.2446200.611551No match-136,5040.752412-0.752412Total48,5161.000000-0.066658Royal Match — Version 2 — One DeckEventPaysCombinationsProbabilityReturnRoyal match1040.0030170.030166Easy match33080.2322780.696833No match-11,0140.764706-0.764706Total1,3261.000000-0.037707Blackjack Royal Match Odds Calculator
The following table displays the house edge for each version given the number of decks used.Royal Match House EdgeNumber of DecksVersion 1Version 210.1085970.03770720.0832710.00821540.070792-0.00631760.066658-0.01113080.064597-0.013531
The probabilities for the royal match are easy to derive.Lets use n for the number of decks of cards. The number of two card combinations is combin(52×n,2). The number of ways to make a royal match is 4*n2. This is because there are 4 suits and n ways to choose the queen and n ways to choose the king. The number of ways to make an easy match is 4×(combin(13×n,2)-n2). The 4 is the number of suits and combin(13×n,2) is the number of ways to arrange 2cards from a given suit. You must also subtract the number of ways to make a royal match.
The probability of an easy match is 4×(combin(13×n,2)-n2)/combin(52×n,2).Blackjack Royal Match Odds
The probability of a royal match is 4×n2/combin(52×n,2).Royal Match - Version 3
In a third version there is a separate pay for a suited blackjack as follows.
*Royal Match pays 25 to 1
*Suited Blackjack pays 5 to 1
*Easy Match pays 5 to 2
The following table shows the expected value for a 6-deck game is -3.70%.Royal Match Version 3- Six DecksHandCombinationsProbabilityPaysReturnRoyal match1440.002968250.074202Suited blackjack5760.01187250.059362All other matches112920.2327482.50.58187Loss365040.752412-1-0.752412Total485161-0.036977
The next table shows the house edge for various number of decks for version 3.Royal Match Version 3- 1 to 8 DecksDecksHouse Edge17.84%25.34%34.52%44.11%53.86%63.70%73.58%83.49%Royal Match - Version 4
The Shufflemaster TMS 300 is an electronic blackjack game, played facing a giant video screen of a dealer. It features a Royal Match side bet, adding a pay for the player and dealer both having a royal match. Following is the return table for six decks.Royal Match — Version 4 — Six DecksEventPaysCombinationsProbabilityReturnPlayer and Dealer Royal Match1000191520.0000080.008242Player royal match2568777280.002960.073996Suited2.55684178600.244620.611551Loser-117483590800.752412-0.752412Total23236738201-0.058622
The next table shows the house edge by number of decks.Royal Match — Version 4 — 1-8 DecksNumber
of DecksHouse
Edge110.14%27.59%36.73%46.3%56.04%65.86%75.74%85.64%Royal Match — Version 5Blackjack Royal Match Odds Explained
Version 5 of the Royal Match is a progressive jackpot on ShuffleMaster TableMax units. These are the electronic blackjack games with a big screen, usually showing a pretty and very buxom dealer.
In this version, the side bet is always $1. It pays a progressive jackpot for a ’Crown Treasure,’ which is both the dealer and player having a Royal Match. Smaller pays are $60 for a player only royal match, and $10 for a player straight flush, which I assume means the player’s first two cards are suited and consecutive, including A-2.
There is also a $500 envy bonus, which pays if you make the side bet, and another player gets a Crown Treasure. The other player does not have to make the side bet for other players to qualify for the Envy Bonus.
The following table shows a hypothetical return table, for six decks, a $10,000 jackpot, and no other players.Six-Deck Progressive Royal Match — $10,000 Jackpot and No Other PlayersEventPaysCombinationsProbabilityReturnCrown Treasure$10,00019,152.000.0000080.082421Royal Match$606,877,728.000.0029600.177591Straight Flush$1082,762,560.000.0356170.356171Loser$02,234,014,380.000.9614150.000000Total2,323,673,820.001.0000000.616183
The general formula for the return in a six-deck game is 0.533762 + 0.082421×j + 0.004121× p, where j is the jackpot divided by $10,000, and p is the number of other players (not counting yourself).
The next table shows the breakeven points, in which the expected return is exactly 100%, given the number of other players, in a six-deck game.Progressive Royal Match Breakeven PointsOther PlayersBreakeven Point6$53,567.705$54,067.704$54,567.703$55,067.702$55,567.701$56,067.700$56,567.70
Royal Match Blackjack OddsWritten by: Michael Shackleford
Register here: http://gg.gg/v8koc
https://diarynote.indered.space
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