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⾦牌百家乐

简介

Baccarat Gold is a modified version of Baccarat found in some poker-playing casinos in Los Angeles and the old area. I learned that San Pablo Lytton Casino offers this gambling game in September 2010. The main thing is to simplify the rules of baccarat's outs, so that the advantages of the player and the banker are as close as possible.

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rule

To avoid confusion, when it comes to betting on Player Player or Banker Banker, I will start with the English word ⺟. When referring to individuals participating in a gambling game, I will lower the beginning of the English word and use the word player. Baccarat Gold and traditional baccarat have the same rules, except for the following three exceptions

 

  1. Just like the old French gambling game Chemin de Fer, if the player is betting on the Player, he can choose to draw or not to draw when the total points are 5.
  2. If the player draws the third card, the dealer's draw rules are as follows:
    • The dealer's total points are 0 to 3 points: always outs.
    • The dealer's total points are 4 to 5 points: only when the player's third card is 3 to 7 points, the card is drawn.
    • The dealer's total points are 6 to 7 points: never draw cards.
  3. Bets and games pay 9 to 1 odds.

 

Use a deck of playing cards.

Probability

The following three lists show the rate of return for betting on Player, Banker, and Tie. If the player chooses to "HIT a draw" at 5 o'clock in the Player Player. These lists show that the house advantage for betting on the player is 1.147%, the house advantage for betting on the banker is 1.144%, and the house advantage for betting on a tie is 4.908%.

 

Player return rate list-player draws at 5 o'clock

Result Odds Total number of permutations Probability response rate
win 1 2,232,878,486,302,976 0.446719 0.446719
lose -1 2,290,212,297,375,744 0.458189 -0.458189
Tie 0 475,307,491,824,640 0.095092 0.000000
total 0 4,998,398,275,503,360 1.000000 -0.011470

 

 

Banker's rate of return list-player draws at 5 o'clock

Result Odds Total number of permutations Probability response rate
win 0.95 2,290,212,297,375,744 0.458189 0.435280
lose -1 2,232,878,486,302,976 0.446719 -0.446719
Tie   475,307,491,824,640 0.095092 0.000000
total   4,998,398,275,503,360 1.000000 -0.011439

 

 

Draw return rate list-player draws at 5

Result Odds Total number of permutations Probability response rate
win 9 475,307,491,824,640 0.095092 0.855828
lose -1 4,523,090,783,678,720 0.904908 -0.904908
total   4,998,398,275,503,360 1.000000 -0.049080

 

The following three lists show the rate of return for betting on player, banker, and tie. If the player chooses to "STAND not draw" at 5 o'clock in the Player player. These lists show that the house advantage of betting on the player is 1.386%, the house advantage of betting on the banker is 0.918%, and the house advantage of betting on the tie is 7.555%.

闲家回报率列表 - 玩家在5点时不补牌

出牌结果 赔率 排列组合总数 机率 回报率
1 2,233,533,079,191,808 0.446850 0.446850
-1 2,302,786,421,833,728 0.460705 -0.460705
和局 0 462,078,774,477,824 0.092445 0.000000
总数   4,998,398,275,503,360 1.000000 -0.013855

 

 

庄家回报率列表 - 玩家在5点时不补牌

出牌结果 赔率 排列组合总数 机率 回报率
0.95 2,302,786,421,833,728 0.460705 0.437670
-1 2,233,533,079,191,808 0.446850 -0.446850
和局 0 462,078,774,477,824 0.092445 0.000000
总数   4,998,398,275,503,360 1.000000 -0.009180

 

 

和局回报率列表 - 玩家在5点时不补牌

出牌结果 赔率 排列组合总数 机率 回报率
9 462,078,774,477,824 0.092445 0.832008
-1 4,536,319,501,025,536 0.907555 -0.907555
总数   4,998,398,275,503,360 1.000000 -0.075546

 

策略

赌局当中只有⼀种决定: 是否在闲家Player⾯牌总数为5点时hit补牌或 stand不补牌。从以上的列表中显⽰, 如果玩家在5点时补牌的话, 押注闲 家Player的赌场优势为1.15%, 如果不补牌的话, 押注闲家Player的赌场优 势为1.39%. 所以, 玩家应该在闲家5点时补牌。

假设玩家这般照做, 那么押注闲家与押注庄家的赌场优势就⼏乎相同了。 押注在庄家的另⼀个理由是, 玩家player在闲家Player牌⾯上或许会错误 地在5点时stand不补牌, 如果是那样做的话, 那么押注庄家的赌场优势将 会从1.14%降到0.92%.

相较于⼀般的百家乐

以下的列表⽐较⾦牌百家乐Baccarat Gold和传统百家乐。列表中显⽰ 在两款赌戏中、每种押注的期望值。在⾦牌百家乐Baccarat Gold中, 所 得的期望值是假设玩家player在Player闲家5点时补牌。在「average平 均值」的栏位中, 是闲家Player与Banker庄家两种牌⾯的平均值。

对于喜欢在闲家Player与庄家Banker之间来回押注的玩家, 结果就是其平 均赌场优势⼏乎与传统百家乐的赌场优势相同。然⽽, 在押注和局Tie的赌 场优势则稍微略低些。

 

⾦牌百家乐 相较于 百家乐

赌戏 闲家 庄家 平均值 和局
Baccarat -0.012351 -0.010579 -0.011465 -0.143596
Baccarat -0.011470 -0.011439 -0.011455 -0.049080