Let It Ride Poker With 3 Card Bonus
2021年4月20日Register here: http://gg.gg/p3rt4
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*Let It Ride Poker With 3 Card BonusOn This Page
Three Card Poker is becoming one of the most popular new table games. Players are discovering that Three Card Poker is not only easy to play but it is a lot of fun. The game is played with a single deck of 52 cards. A free online version of 3 Card Poker with 6-card Bonus. Test out your 3 Card Poker strategy here. Practice for Vegas. Play Three Card Poker for Free.Introduction
Four Poker is a new poker variation invented by Roger Snow and marketed by Shufflemaster. The game is similar to Three Card Poker but as the title suggests, four cards are used instead of three. Also, there is no dealer qualifying hand and the player can raise up to three times his ante. However, the dealer gets one extra card to form his best hand.Rules
*Two initial bets are available: The Ante and the Aces Up.
*All players get five cards each and the dealer gets six cards. One of the dealer cards is placed face up, and five face down.
*Players making the Ante bet must decide to fold or raise.
*If the player folds he forfeits his Ante bet. He may or may not forfeit his Aces Up bet, depending on casino rules. It shouldn’t matter because if the player has a paying Aces Up bet, he shouldn’t be folding anyway.
*If player raises, then he must raise at least the amount of the Ante and at most, three times the Ante.
*The player keeps his best four cards and discards one.
*Following is the ranking of hands from lowest to highest: high card, pair, two pair, straight, flush, three of a kind, straight flush, four of a kind.
*After all decisions have been made, the dealer will turn over his cards and select the best four out of six.
*The player’s hand shall be compared to the dealer’s hand, the higher hand winning.
*If the dealer’s hand is higher, then the player shall lose the Ante and Raise.
*If the player’s hand is higher or equal then the Ante and Raise shall pay one to one.
*If the player has at least a three of a kind, then he shall also be paid a Bonus, regardless of the value of the dealer’s hand. Two different pay tables are available for the Bonus, as displayed below, and are based on the ante bet. Pay Table 1 is the only one I know of to be actually used.
*Another bet is available (similar to the Pairplus in Three Card Poker), based only on the player’s four card hand, called the Aces Up. Seven pay tables are available as indicated below. The only one I know of to be actually used is pay table 5.Bonus Pay TableHandTable 1Table 2Four of a kind2530Straight flush2015Three of a kind22Aces Up Pay TableHandTable 1Table 2Table 3Table 4Table 5Table 6Table 7Four of a kind50 to 150 to 150 to 150 to 150 to 150 to 150 to 1Straight flush40 to 140 to 130 to 130 to 140 to 140 to 140 to 1Three of a kind9 to 17 to 19 to 17 to 18 to 18 to 17 to 1Flush6 to 16 to 16 to 16 to 15 to 16 to 15 to 1Straight4 to 15 to 14 to 15 to 14 to 14 to 14 to 1Two pair2 to 12 to 12 to 12 to 13 to 12 to 13 to 1Pair of aces or better1 to 11 to 11 to 11 to 11 to 11 to 11 to 1
Of these pay tables for the Aces Up side bet, number five is the most popular. The only exceptions that I’m aware of are an unconfirmed report that that Tulalip in Washington uses pay table 4 and the Grand Casino Hinckley in Minnesota uses pay table 1.Analysis
The following return table is based on optimal player strategy under the 2-20-25 Ante Bonus pay table. The lower right cell shows a house edge of 2.79%.Return Table Based on Optimal StrategyPlayer HandRaise/FoldWin/LossCombinationsProbabilityPaysReturn Four of a Kind 3 Win 40,182,878,736 0.000240 +29 0.006960 Four of a Kind 3 Lose 18,594,576 0.000000 +21 0.000002 Straight Flush 3 Win 133,224,330,456 0.000796 +24 0.019096 Straight Flush 3 Lose 265,177,080 0.000002 +16 0.000025 Three of a Kind 3 Win 3,675,379,352,400 0.021951 +6 0.131703 Three of a Kind 3 Lose 103,559,138,928 0.000618 -2 -0.001237 Flush 3 Win 6,599,621,152,728 0.039415 +4 0.157660 Flush 3 Lose 784,564,849,080 0.004686 -4 -0.018743 Straight 3 Win 5,257,469,039,688 0.031399 +4 0.125597 Straight 3 Lose 1,301,555,952,216 0.007773 -4 -0.031093 Two Pair 3 Win 5,539,444,298,496 0.033083 +4 0.132333 Two Pair 3 Lose 2,420,447,417,280 0.014456 -4 -0.057823 One Pair 3 Win 14,764,551,298,548 0.088179 +4 0.352714 One Pair 3 Lose 10,806,299,820,804 0.064539 -4 -0.258155 One Pair 1 Win 13,535,004,289,296 0.080835 +2 0.161671 One Pair 1 Lose 22,887,448,286,136 0.136691 -2 -0.273382 One Pair Fold Fold 5,495,692,732,992 0.032822 -1 -0.032822 High Card 1 Win 148,058,445,132 0.000884 +2 0.001769 High Card 1 Lose 422,493,233,796 0.002523 -2 -0.005047 High Card Fold Fold 73,523,856,056,112 0.439108 -1 -0.439108 Totals 167,439,136,344,480 1.000000 -0.027879
The average final bet under optimal strategy is 2.142342 units, making the element of risk, -0.027879/2.142342 = 1.30%. The standard deviation, relative to the original bet, is 2.71.Beginner Strategy
A simple strategy to this game, first proposed by Stanley Ko, is as follows.
*Raise 3X with a pair of tens or higher.
*Raise 1X with a pair of twos to nines.
*Fold all other.
According to the second edition of ’Beyond Counting’ by James Grosjean, this ’simple strategy’ results in a house edge of 3.396%. Intermediate Strategy
The following intermediate strategy was created to balance power and simplicity by our own JB.
*Pair of Aces or better: Bet 3X
*Pair of Js, Qs, Ks: Bet 3X if dealer’s upcard is lower than your pair or matches a rank in your hand, otherwise bet 1X
*Pair of 9s, 10s: Bet 1X if dealer’s upcard outranks your pair, otherwise bet 3X
*Pair of 8s: Bet 3X if dealer’s upcard is a 2, otherwise bet 1X
*Pair of 3s, 4s, 5s, 6s, 7s: Bet 1X
*Pair of 2s or AKQ: Bet 1X if dealer’s upcard matches a rank in your hand, otherwise fold
*All other: Fold
Against the 2-20-25 Ante Bonus pay table, the house edge is 2.8526% and the element of risk is 1.3233%. Advanced Strategy
I’m proud to present the following advanced strategy, also created by my sidekick JB.
*Pair of Aces or better: Bet 3X
*Pair of Ks: Bet 3X, except bet 1X against an Ace and you don’t have an Ace nor 4.
*Pair of Js or Qs: Bet 3X, except bet 1X if the dealer’s card outranks pair your pair rank and does not match a singleton in your hand.
*Pair of 9s or 10s: Bet 3X, except bet 1X if dealer card outranks your pair rank.
*Pair of 8s: Bet 1X, except bet 3X against a 2
*Pair of 4s thru 7s: Bet 1X
*Pair of 3s: Bet 1X, except fold against a Jack if your highest kicker is a 10 or lower
*Pair of 2s or AKQ: Fold, except bet 1X if dealer card matches a rank in your hand
*AKJT: Fold, except bet 1X against a Jack
*AKJ9 or lower: Fold
Against the 2-20-25 Ante Bonus pay table, the house edge is 2.8498% and the element of risk is 1.3216%. Here is a house edge comparison of various known strategies.
*Simple: 3.396%
*Intermediate: 2.853%
*Advanced: 2.850%
*Optimal: 2.788% Free Let It Ride Poker With 3-card Bonus
To put it another way, here are the cost of errors:
*Simple: 0.606%
*Intermediate: 0.065%
*Advanced: 0.062%
*Optimal: 0.000% Aces Up Analysis
The next table shows the probability of each hand and the return under pay table five of the Aces Up side bet. The lower right cell shows a house edge of 3.89%.Free Online Let It Ride Poker With 3 Card BonusReturn for Aces Up Pay Table 5HandCombinationsProbabilityPaysReturnFour of a kind6240.00024500.012005Straight flush20720.000797400.03189Three of a kind586560.02256980.180552Flush1146160.04410150.220504Straight1018080.03917340.15669Two pair1235520.04753930.142617Pair of aces810960.03120310.031203Nothing21165360.814378-1-0.814378Total25989601-0.038917Let It Ride Poker With 3 Card Bonus Play For Free
The next table shows the house edge according to all four Aces Up pay tables.Aces Up House EdgePay TableHouse Edge11.98%22.58%32.78%43.37%53.89%64.24%76.15%
Note: There is also a similar game called Crazy Four Poker.Let It Ride Poker With 3 Card BonusAcknowledgments
I would like to recognize:Let It Ride Poker Free With 3 Card Bonus
*JB for the analysis of the optimal strategy.
*Stanley Ko for the simplified strategy.
*James Grosjean for the unpublished advanced strategy.Let It Ride Poker With 3 Card BonusWritten by:Michael Shackleford
Register here: http://gg.gg/p3rt4
https://diarynote.indered.space
*Free Let It Ride Poker With 3-card Bonus
*Free Online Let It Ride Poker With 3 Card Bonus
*Let It Ride Poker With 3 Card Bonus Play For Free
*Let It Ride Poker With 3 Card Bonus
*Let It Ride Poker Free With 3 Card Bonus
*Let It Ride Poker With 3 Card BonusOn This Page
Three Card Poker is becoming one of the most popular new table games. Players are discovering that Three Card Poker is not only easy to play but it is a lot of fun. The game is played with a single deck of 52 cards. A free online version of 3 Card Poker with 6-card Bonus. Test out your 3 Card Poker strategy here. Practice for Vegas. Play Three Card Poker for Free.Introduction
Four Poker is a new poker variation invented by Roger Snow and marketed by Shufflemaster. The game is similar to Three Card Poker but as the title suggests, four cards are used instead of three. Also, there is no dealer qualifying hand and the player can raise up to three times his ante. However, the dealer gets one extra card to form his best hand.Rules
*Two initial bets are available: The Ante and the Aces Up.
*All players get five cards each and the dealer gets six cards. One of the dealer cards is placed face up, and five face down.
*Players making the Ante bet must decide to fold or raise.
*If the player folds he forfeits his Ante bet. He may or may not forfeit his Aces Up bet, depending on casino rules. It shouldn’t matter because if the player has a paying Aces Up bet, he shouldn’t be folding anyway.
*If player raises, then he must raise at least the amount of the Ante and at most, three times the Ante.
*The player keeps his best four cards and discards one.
*Following is the ranking of hands from lowest to highest: high card, pair, two pair, straight, flush, three of a kind, straight flush, four of a kind.
*After all decisions have been made, the dealer will turn over his cards and select the best four out of six.
*The player’s hand shall be compared to the dealer’s hand, the higher hand winning.
*If the dealer’s hand is higher, then the player shall lose the Ante and Raise.
*If the player’s hand is higher or equal then the Ante and Raise shall pay one to one.
*If the player has at least a three of a kind, then he shall also be paid a Bonus, regardless of the value of the dealer’s hand. Two different pay tables are available for the Bonus, as displayed below, and are based on the ante bet. Pay Table 1 is the only one I know of to be actually used.
*Another bet is available (similar to the Pairplus in Three Card Poker), based only on the player’s four card hand, called the Aces Up. Seven pay tables are available as indicated below. The only one I know of to be actually used is pay table 5.Bonus Pay TableHandTable 1Table 2Four of a kind2530Straight flush2015Three of a kind22Aces Up Pay TableHandTable 1Table 2Table 3Table 4Table 5Table 6Table 7Four of a kind50 to 150 to 150 to 150 to 150 to 150 to 150 to 1Straight flush40 to 140 to 130 to 130 to 140 to 140 to 140 to 1Three of a kind9 to 17 to 19 to 17 to 18 to 18 to 17 to 1Flush6 to 16 to 16 to 16 to 15 to 16 to 15 to 1Straight4 to 15 to 14 to 15 to 14 to 14 to 14 to 1Two pair2 to 12 to 12 to 12 to 13 to 12 to 13 to 1Pair of aces or better1 to 11 to 11 to 11 to 11 to 11 to 11 to 1
Of these pay tables for the Aces Up side bet, number five is the most popular. The only exceptions that I’m aware of are an unconfirmed report that that Tulalip in Washington uses pay table 4 and the Grand Casino Hinckley in Minnesota uses pay table 1.Analysis
The following return table is based on optimal player strategy under the 2-20-25 Ante Bonus pay table. The lower right cell shows a house edge of 2.79%.Return Table Based on Optimal StrategyPlayer HandRaise/FoldWin/LossCombinationsProbabilityPaysReturn Four of a Kind 3 Win 40,182,878,736 0.000240 +29 0.006960 Four of a Kind 3 Lose 18,594,576 0.000000 +21 0.000002 Straight Flush 3 Win 133,224,330,456 0.000796 +24 0.019096 Straight Flush 3 Lose 265,177,080 0.000002 +16 0.000025 Three of a Kind 3 Win 3,675,379,352,400 0.021951 +6 0.131703 Three of a Kind 3 Lose 103,559,138,928 0.000618 -2 -0.001237 Flush 3 Win 6,599,621,152,728 0.039415 +4 0.157660 Flush 3 Lose 784,564,849,080 0.004686 -4 -0.018743 Straight 3 Win 5,257,469,039,688 0.031399 +4 0.125597 Straight 3 Lose 1,301,555,952,216 0.007773 -4 -0.031093 Two Pair 3 Win 5,539,444,298,496 0.033083 +4 0.132333 Two Pair 3 Lose 2,420,447,417,280 0.014456 -4 -0.057823 One Pair 3 Win 14,764,551,298,548 0.088179 +4 0.352714 One Pair 3 Lose 10,806,299,820,804 0.064539 -4 -0.258155 One Pair 1 Win 13,535,004,289,296 0.080835 +2 0.161671 One Pair 1 Lose 22,887,448,286,136 0.136691 -2 -0.273382 One Pair Fold Fold 5,495,692,732,992 0.032822 -1 -0.032822 High Card 1 Win 148,058,445,132 0.000884 +2 0.001769 High Card 1 Lose 422,493,233,796 0.002523 -2 -0.005047 High Card Fold Fold 73,523,856,056,112 0.439108 -1 -0.439108 Totals 167,439,136,344,480 1.000000 -0.027879
The average final bet under optimal strategy is 2.142342 units, making the element of risk, -0.027879/2.142342 = 1.30%. The standard deviation, relative to the original bet, is 2.71.Beginner Strategy
A simple strategy to this game, first proposed by Stanley Ko, is as follows.
*Raise 3X with a pair of tens or higher.
*Raise 1X with a pair of twos to nines.
*Fold all other.
According to the second edition of ’Beyond Counting’ by James Grosjean, this ’simple strategy’ results in a house edge of 3.396%. Intermediate Strategy
The following intermediate strategy was created to balance power and simplicity by our own JB.
*Pair of Aces or better: Bet 3X
*Pair of Js, Qs, Ks: Bet 3X if dealer’s upcard is lower than your pair or matches a rank in your hand, otherwise bet 1X
*Pair of 9s, 10s: Bet 1X if dealer’s upcard outranks your pair, otherwise bet 3X
*Pair of 8s: Bet 3X if dealer’s upcard is a 2, otherwise bet 1X
*Pair of 3s, 4s, 5s, 6s, 7s: Bet 1X
*Pair of 2s or AKQ: Bet 1X if dealer’s upcard matches a rank in your hand, otherwise fold
*All other: Fold
Against the 2-20-25 Ante Bonus pay table, the house edge is 2.8526% and the element of risk is 1.3233%. Advanced Strategy
I’m proud to present the following advanced strategy, also created by my sidekick JB.
*Pair of Aces or better: Bet 3X
*Pair of Ks: Bet 3X, except bet 1X against an Ace and you don’t have an Ace nor 4.
*Pair of Js or Qs: Bet 3X, except bet 1X if the dealer’s card outranks pair your pair rank and does not match a singleton in your hand.
*Pair of 9s or 10s: Bet 3X, except bet 1X if dealer card outranks your pair rank.
*Pair of 8s: Bet 1X, except bet 3X against a 2
*Pair of 4s thru 7s: Bet 1X
*Pair of 3s: Bet 1X, except fold against a Jack if your highest kicker is a 10 or lower
*Pair of 2s or AKQ: Fold, except bet 1X if dealer card matches a rank in your hand
*AKJT: Fold, except bet 1X against a Jack
*AKJ9 or lower: Fold
Against the 2-20-25 Ante Bonus pay table, the house edge is 2.8498% and the element of risk is 1.3216%. Here is a house edge comparison of various known strategies.
*Simple: 3.396%
*Intermediate: 2.853%
*Advanced: 2.850%
*Optimal: 2.788% Free Let It Ride Poker With 3-card Bonus
To put it another way, here are the cost of errors:
*Simple: 0.606%
*Intermediate: 0.065%
*Advanced: 0.062%
*Optimal: 0.000% Aces Up Analysis
The next table shows the probability of each hand and the return under pay table five of the Aces Up side bet. The lower right cell shows a house edge of 3.89%.Free Online Let It Ride Poker With 3 Card BonusReturn for Aces Up Pay Table 5HandCombinationsProbabilityPaysReturnFour of a kind6240.00024500.012005Straight flush20720.000797400.03189Three of a kind586560.02256980.180552Flush1146160.04410150.220504Straight1018080.03917340.15669Two pair1235520.04753930.142617Pair of aces810960.03120310.031203Nothing21165360.814378-1-0.814378Total25989601-0.038917Let It Ride Poker With 3 Card Bonus Play For Free
The next table shows the house edge according to all four Aces Up pay tables.Aces Up House EdgePay TableHouse Edge11.98%22.58%32.78%43.37%53.89%64.24%76.15%
Note: There is also a similar game called Crazy Four Poker.Let It Ride Poker With 3 Card BonusAcknowledgments
I would like to recognize:Let It Ride Poker Free With 3 Card Bonus
*JB for the analysis of the optimal strategy.
*Stanley Ko for the simplified strategy.
*James Grosjean for the unpublished advanced strategy.Let It Ride Poker With 3 Card BonusWritten by:Michael Shackleford
Register here: http://gg.gg/p3rt4
https://diarynote.indered.space
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