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Player's Choice玩家选牌 21点
简介
「Player's Choice玩家选牌 21点」是我2013年8⽉17⽇在Palazzo赌场⻅ 到的⼀种Blackjack⼆⼗⼀点变体改版。游戏由玩家的三张牌开始玩起, 使 ⽤这三张牌来组成两⼿Blackjack⼆⼗⼀点的起始牌⾯。玩家选出其中⼀ 张牌当成两⼿牌的公共牌。这个特⾊所付出的代价是, 游戏给予负数期望 值的side bet边注。
规则
- 使⽤六副或⼋副52张的牌组。
- 所有牌的计分如同传统的Blackjack⼆⼗⼀点。
- 游戏从玩家押注三笔赌注开始玩起 — 两注为Blackjack⼆⼗⼀点的赌 注、⼀注为「3 Card Bonus三张牌红利」的押注。
- 两注Blackjack⼆⼗⼀点的赌注⾦额必须相同、⽽「3 Card Bonus三张 牌红利」的押注⾦额必须⾄少等同于Blackjack⼆⼗⼀点的赌注⾦额。
- 发给玩家三张朝上的牌, 发给庄家两张牌、⼀张朝上、另⼀张朝下。
- 此时「3 Card Bonus三张牌红利」的押注结果⽴即由玩家的这三张牌 来判定、其⽀付赔率表如下。
- 玩家安排他的牌分成两⼿Blackjack⼆⼗⼀点的初始牌⾯。玩家必须挑 出其中的⼀张牌、成为两⼿牌的公共牌。例如, 如果玩家的三张牌为 3点, 8点, 和 10点, 则最佳的玩法是将8点当成公共牌, 形成11点与18点两⼿初 始的牌⾯。
- 庄家应先检视有否拿到blackjack.
- 由此之后, 遵循标准的Blackjack⼆⼗⼀点规则。这包括分牌之后允许加 倍赌注、Aces对⼦可以再分牌、但不可投降。
- 牌组的副数（六副或⼋副）与庄家在软17点时是否补牌等规则均为另 外设定。
3 Card Bonus三张牌红利 ⽀付赔率表
| 牌⾯ | 赔率 |
|---|---|
| 迷你同花⼤顺 | 75 |
| 同花⾊三条 | 60 |
| 同花顺 | 20 |
| 三条 | 10 |
| 顺⼦ | 2 |
| 同花⾊对⼦ | 1.5 |
| 同花 | 1.5 |
| 对⼦ | 1 |
| 所有其他牌⾯ | Loss |
策略
以下列表显⽰要挑选哪张牌为公共牌, 根据玩家的三张牌与庄家朝上的牌 ⽽定。这个列表是针对「在软17点补牌」的赌局、但对于在软17点不补 牌也同样适⽤。
8副牌组的公共牌策略 — 庄家在软17点时补牌
| 玩家的牌 | 庄家朝上的牌 | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | X | A | |
| 2-2-2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-2-3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-2-4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-2-5 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-2-6 | 6 | 6 | 2 | 2 | 2 | 6 | 6 | 6 | 6 | 6 |
| 2-2-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 2-2-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 2-2-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 2-3-3 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 |
| 2-3-4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 |
| 2-3-5 | 5 | 5 | 5 | 5 | 5 | 5 | 3 | 3 | 3 | 3 |
| 2-3-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 2-3-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 2-3-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 2-3-9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-4-4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 2-4-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 4 |
| 2-4-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 2-4-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 2-4-8 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-4-9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-5-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 2-5-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 2-5-7 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-5-8 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-5-9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-6-6 | 2 | 2 | 2 | 6 | 6 | 2 | 2 | 2 | 2 | 2 |
| 2-6-7 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-6-8 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-6-9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-7-7 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-7-8 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-7-9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-8-8 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-8-9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2-9-9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 3-3-3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-3-4 | 4 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 3 |
| 3-3-5 | 5 | 5 | 5 | 3 | 3 | 5 | 5 | 5 | 5 | 5 |
| 3-3-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 3-3-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 3-3-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 3-3-9 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-4-4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 3-4-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 3-4-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 3-4-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 3-4-8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-4-9 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-5-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 3-5-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 3-5-7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-5-8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-5-9 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-6-6 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-6-7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-6-8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-6-9 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-7-7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-7-8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-7-9 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-8-8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3-8-9 | 8 | 8 | 8 | 8 | 8 | 8 | 3 | 3 | 3 | 3 |
| 3-9-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 4-4-4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-4-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 4-4-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 4-4-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 4-4-8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-4-9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-5-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 4-5-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 4-5-7 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-5-8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-5-9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-6-6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-6-7 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-6-8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-6-9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-7-7 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-7-8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-7-9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4-8-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 4 | 4 | 4 |
| 4-8-9 | 8 | 8 | 8 | 8 | 8 | 8 | 4 | 4 | 8 | 4 |
| 4-9-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 5-5-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-5-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 5-5-7 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-5-8 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-5-9 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-6-6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-6-7 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-6-8 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-6-9 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-7-7 | 7 | 7 | 7 | 7 | 7 | 7 | 5 | 5 | 5 | 5 |
| 5-7-8 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-7-9 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5-8-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 5 | 5 | 5 |
| 5-8-9 | 8 | 8 | 8 | 8 | 8 | 8 | 5 | 8 | 8 | 5 |
| 5-9-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 6-6-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6-6-7 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6-6-8 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6-6-9 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6-7-7 | 7 | 7 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 6 |
| 6-7-8 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6-7-9 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6-8-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 6 | 6 |
| 6-8-9 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 6 |
| 6-9-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 7-7-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7-7-8 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7-7-9 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7-8-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 7 |
| 7-8-9 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 7-9-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 8-8-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8-8-9 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 9 | 9 |
| 8-9-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9-9-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| A-2-2 | A | A | A | 2 | 2 | A | A | A | A | A |
| A-2-3 | A | A | A | A | A | A | A | A | A | A |
| A-2-4 | A | A | A | A | A | A | A | A | A | A |
| A-2-5 | A | A | A | A | A | A | A | A | A | A |
| A-2-6 | A | A | A | A | A | 2 | 2 | A | A | A |
| A-2-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 2 | A | 2 |
| A-2-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| A-2-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| A-3-3 | A | A | A | 3 | 3 | A | A | A | A | A |
| A-3-4 | A | A | A | A | A | A | A | A | A | A |
| A-3-5 | A | A | A | A | A | 3 | 3 | A | A | A |
| A-3-6 | 3 | 6 | 6 | 6 | 6 | 3 | 3 | 3 | 3 | 3 |
| A-3-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 |
| A-3-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| A-3-9 | A | A | A | A | A | A | A | A | A | A |
| A-4-4 | A | A | A | A | A | 4 | A | A | A | A |
| A-4-5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| A-4-6 | 4 | 6 | 6 | 6 | 6 | 6 | 4 | 4 | 4 | 4 |
| A-4-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| A-4-8 | A | A | A | A | A | A | A | A | A | A |
| A-4-9 | A | A | A | A | A | A | A | A | A | A |
| A-5-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| A-5-6 | 6 | 6 | 6 | 6 | 6 | 6 | 5 | 5 | 6 | 5 |
| A-5-7 | A | A | A | A | A | A | A | A | A | A |
| A-5-8 | A | A | A | A | A | A | A | A | A | A |
| A-5-9 | A | A | A | A | A | A | A | A | A | A |
| A-6-6 | A | A | A | A | A | A | A | A | A | A |
| A-6-7 | A | A | A | A | A | A | A | A | A | A |
| A-6-8 | A | A | A | A | A | A | A | A | A | A |
| A-6-9 | A | A | A | A | A | A | A | A | A | A |
| A-7-7 | A | A | A | A | A | A | A | A | A | A |
| A-7-8 | A | A | A | A | A | A | A | A | A | A |
| A-7-9 | A | A | A | A | A | A | A | A | A | A |
| A-8-8 | A | A | A | A | A | A | A | A | A | A |
| A-8-9 | A | A | A | A | A | A | A | A | A | A |
| A-9-9 | A | A | A | A | A | A | A | A | A | A |
| A-A-2 | A | A | A | A | A | A | A | A | A | A |
| A-A-3 | A | A | A | A | A | A | A | A | A | A |
| A-A-4 | A | A | A | A | A | A | A | A | A | A |
| A-A-5 | A | A | A | A | A | A | A | A | A | A |
| A-A-6 | A | A | A | A | A | A | A | A | A | A |
| A-A-7 | A | A | A | A | A | A | A | A | A | A |
| A-A-8 | A | A | A | A | A | A | 8 | A | A | A |
| A-A-9 | 9 | A | A | A | A | 9 | 9 | 9 | 9 | 9 |
| A-A-A | A | A | A | A | A | A | A | A | A | A |
| X-2-2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| X-2-3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| X-2-4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| X-2-5 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| X-2-6 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| X-2-7 | 7 | 7 | 7 | 7 | 7 | 7 | 2 | 2 | 2 | 2 |
| X-2-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| X-2-9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| X-3-3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| X-3-4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| X-3-5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| X-3-6 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| X-3-7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 7 | 3 |
| X-3-8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| X-3-9 | 9 | 9 | X | X | X | 9 | 9 | 9 | 9 | 9 |
| X-4-4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| X-4-5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| X-4-6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| X-4-7 | 7 | 7 | 7 | 7 | 7 | 7 | 4 | 7 | 7 | 4 |
| X-4-8 | 8 | 8 | X | X | X | 8 | 8 | 8 | 8 | 8 |
| X-4-9 | X | X | X | X | X | 9 | 9 | 9 | 9 | 9 |
| X-5-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| X-5-6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| X-5-7 | 7 | 7 | X | X | X | 7 | 7 | 7 | 7 | 5 |
| X-5-8 | X | X | X | X | X | 8 | 8 | 8 | 8 | 8 |
| X-5-9 | X | X | X | X | X | 9 | 9 | 9 | 9 | 9 |
| X-6-6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| X-6-7 | X | X | X | X | X | 7 | 7 | 7 | 7 | 7 |
| X-6-8 | X | X | X | X | X | 8 | 8 | 8 | 8 | 8 |
| X-6-9 | X | X | X | X | X | 9 | 9 | 9 | 9 | 9 |
| X-7-7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | X | X | 7 |
| X-7-8 | X | X | X | X | X | X | X | X | X | 8 |
| X-7-9 | X | X | X | X | X | X | X | X | X | X |
| X-8-8 | X | 8 | 8 | 8 | 8 | X | X | X | X | X |
| X-8-9 | X | X | X | X | X | X | X | X | X | X |
| X-9-9 | X | X | X | X | 9 | X | X | X | X | X |
| X-A-2 | A | A | A | A | A | A | A | A | A | A |
| X-A-3 | A | A | A | A | A | A | A | A | A | A |
| X-A-4 | A | A | A | A | A | A | A | A | A | A |
| X-A-5 | A | A | A | A | A | A | A | A | A | A |
| X-A-6 | A | A | A | A | A | A | A | A | A | A |
| X-A-7 | A | A | A | A | A | A | A | A | A | A |
| X-A-8 | A | A | A | A | A | A | A | A | A | A |
| X-A-9 | A | A | A | A | A | A | A | A | A | A |
| X-A-A | X | X | X | X | X | X | X | X | X | X |
| X-X-2 | X | X | X | X | X | X | X | X | X | X |
| X-X-3 | X | X | X | X | X | X | X | X | X | X |
| X-X-4 | X | X | X | X | X | X | X | X | X | X |
| X-X-5 | X | X | X | X | X | X | X | X | X | X |
| X-X-6 | X | X | X | X | X | X | X | X | X | X |
| X-X-7 | X | X | X | X | X | X | X | X | X | X |
| X-X-8 | X | X | X | X | X | X | X | X | X | X |
| X-X-9 | X | X | X | X | X | X | X | X | X | X |
| X-X-A | A | A | A | A | A | A | A | A | A | A |
| X-X-X | X | X | X | X | X | X | X | X | X | X |
这⾥有以上列表的⼀种压缩版本, 将⽆须依照庄家牌⾯的所有牌型合并在 ⼀起。
由此之后, 玩家应该运⽤标准Blackjack⼆⼗⼀点的 基本策略。
针对「3 Card Bonus三张牌红利」的押注策略就是, 下注三笔同样⾦额的 赌注。虽然超额下注在「3 Card Bonus三张牌红利」是被允许的, 玩家绝 对不要使⽤这个选项。
3 Card Bonus三张牌红利
以下两种列表显⽰押注「3 Card Bonus三张牌红利」在六副牌与⼋副牌两 种状况之下的每种牌⾯的机率与回报率。右下⽅的栏位显⽰在六副牌的赌 场优势为25.0% 、在⼋副牌的赌场优势为24.3%. 数学报告还标⽰其他适⽤ 的⽀付列表, 但这是在Palazzo赌场所⻅到的版本。
3 Card Bonus三张牌红利 — 六副牌
| 牌⾯ | 赔率 | 排列组合总数 | 机率 | 回报率 |
|---|---|---|---|---|
| 迷你同花⼤顺 | 75 | 864 | 0.000172 | 0.012926 |
| 同花⾊三条 | 60 | 1,040 | 0.000207 | 0.012447 |
| 同花顺 | 20 | 9,504 | 0.001896 | 0.037915 |
| 三条 | 10 | 25,272 | 0.005041 | 0.050410 |
| 顺⼦ | 2 | 155,520 | 0.031021 | 0.062043 |
| 同花⾊对⼦ | 1.5 | 56,160 | 0.011202 | 0.016803 |
| 同花 | 1.5 | 236,736 | 0.047221 | 0.070832 |
| 对⼦ | 1 | 977,184 | 0.194918 | 0.194918 |
| 所有其他牌⾯ | -1 | 3,551,040 | 0.708321 | -0.708321 |
| 总计 | 5,013,320 | 1.000000 | -0.250028 |
3 Card Bonus三张牌红利 — ⼋副牌
| 牌⾯ | 赔率 | 排列组合总数 | 机率 | 回报率 |
|---|---|---|---|---|
| 迷你同花⼤顺 | 75 | 2,048 | 0.000172 | 0.012894 |
| 同花⾊三条 | 60 | 2,912 | 0.000244 | 0.014667 |
| 同花顺 | 20 | 22,528 | 0.001891 | 0.037824 |
| 三条 | 10 | 61,568 | 0.005169 | 0.051685 |
| 顺⼦ | 2 | 368,640 | 0.030947 | 0.061893 |
| 同花⾊对⼦ | 1.5 | 139,776 | 0.011734 | 0.017601 |
| 同花 | 1.5 | 561,152 | 0.047107 | 0.070661 |
| 对⼦ | 1 | 2,336,256 | 0.196124 | 0.196124 |
| 所有其他牌⾯ | -1 | 8,417,280 | 0.706612 | -0.706612 |
| 总计 | 11,912,160 | 1.000000 | -0.243263 |
分析
以下列表显⽰Blackjack⼆⼗⼀点、3 Card Bonus三张牌红利、总体游戏 的期望回报率。 Blackjack⼆⼗⼀点的回报率显⽰两注Blackjack⼆⼗⼀点 押注的单位期望数值⽐率, 每注Blackjack⼆⼗⼀点的押注为⼀个单位。总 回报率total return栏位显⽰Blackjack⼆⼗⼀点与3 Card Bonus三张牌红利 的回报率合并值、再除以三。换⾔之, 这是玩家在初始押注所期望赢得的 ⾦额⽐率。例如, 在⼋副牌的赌局、庄家在软17点时补牌, 如果玩家在三笔 押注都是$5, 他的期望输值为 -.006365 x $15 = $0.0955.
Player's Choice玩家选牌 21点 — 回报率列表
| 牌组副数 | 软17点 | BJ回报率 | 三张牌红利 | 总回报率 |
|---|---|---|---|---|
| 6 | 停住不补 | 0.230456 | -0.250028 | -0.006524 |
| 6 | 补牌 | -0.250028 | -0.008650 | |
| 8 | 停住不补 | 0.230456 | -0.243263 | -0.004269 |
| 8 | 补牌 | 0.224169 | -0.243263 | -0.006365 |
感谢
- Greg Jaffa 他對於準備本專⾴的合作。
- 来⾃Total Gaming Science的Charles Mousseau, 对于他分享这个游戏的 数学报告与试算表。除了「3 Card Bonus三张牌红利」的押注之外、本专 ⻚所有的数学与策略均来⾃Charles, 我相信他的版本都是准确的。
- Beachbumbabs 的压缩版本策略图表。