1961年，麻省理工大學數學教授 Ed Thorp 利用概率論發明了針對 21 點的計牌法，提高了玩家的贏率，從此 21 點成為玩家贏率最高的遊戲之一。90 年代初期，幾位麻省理工學生組織了團隊，在拉斯維加斯應用這一計牌法。

計牌法的基本理念是計算剩餘牌堆中高點數和低點數牌的比例。高點數牌有利於閒家，低點數牌則有利於莊家。若莊家手上有 16 點，根據規則必須繼續要牌，這增加了莊家拿到超過 21 點（爆牌）的機率。計牌法從計算每張牌的點數開始，根據預定的規則加減點數，形成正或負的結果。

計牌法中的每張牌有固定的點數規則，例如 10 以上的牌記為 -1，3 到 6 的牌記為 +1，其餘牌忽略不計。當發牌結束，若計算值為正，表示接下來高點數牌較多，有利於閒家，其中一個正數值的計算結果可以提高下注。

計牌法可協助決定下注、加倍、交牌或保持不變。當剩餘高點數牌多時，可以提高下注的金額。莊家在發一定數量的牌後會洗牌，發牌率越高，計算點數的精確度越高，避免在發牌率低於 70% 時下注。

多副牌同時使用時，最終點數需調整。例如計算值為 10，若有兩副牌，實際點數為 10/2 ＝ 5。漸進式下注法根據計算點數調整下注，隨著贏率提高增加賭注。

重要的是快速計算點數，選擇人少的桌子練習計牌。同時，賭場禁止計牌法玩家，如被懷疑會被驅趕，因此需保持低調。

從0開始掌握21點秘訣

21點又稱為 (Black Jack)，成功的關鍵在於牌點數越接近21點越好。無論是實體賭場還是線上娛樂城，這項遊戲都廣受歡迎。

百家樂贏錢思路揭露

百家樂（Baccarat）源自法國，是世界上最公平的博奕遊戲之一。了解其規則和策略可以大大提升您的贏錢機率。

德州撲克進階技巧

在疫情期間，許多人選擇線上賭場進行娛樂。德州撲克 (Texas Hold’em) 因其獨特的策略和技巧，吸引了眾多玩家。

百家樂致勝戰略

百家樂的規則很簡單；玩家和莊家各獲兩張牌，點數總和最高者勝。掌握此遊戲的戰略是贏錢的關鍵。

百家樂全面教學

無論是新手還是老手，了解百家樂的規則和不同玩法是取得成功的首要步驟，比如查找適合的策略和管理資金。

百家樂玩法攻略

對於新手來說，了解和掌握百家樂的基本玩法和規則是非常重要的。本文將帶您一步步學會這些技巧。

百家樂好習慣養成

良好的遊戲習慣是百家樂中贏錢的必備條件。遵循一些策略和管理技巧，可以增加您的勝率。

快速入門百家樂

百家樂 (Baccarat) 起源於義大利，理解其歷史與遊戲方式可以幫助您更快地上手並享受遊戲樂趣。

解密洗碼量與流水

了解洗碼量（有效投注）以及娛樂城的流水和返水，這些術語在您的遊戲和提款過程中都扮演著重要角色。

妞妞百家樂必學技巧

妞妞百家樂包括龍虎鬥、德州撲克等眾多有趣的玩法，各具特色的技巧讓您在遊戲中如虎添翼。

維爾的生平簡介

賭博新手必看，史上最暢銷的21點書籍《21點事業》的作者勞倫斯維爾，本名格里菲斯．歐文（Griffith K. Owens），他在愛荷華州的一間理髮店後面的房間當發牌員開始了他的職業生涯。維爾在內布拉斯加大學取得數學學位後，1943年開始他的職業玩家生涯。

《21點事業》的出版歷史

他的書《21點事業》於1969年出版，這是歷史上最暢銷的賭博類書籍之一，時至今日，仍然被視為以算牌法擊敗21點的最好參考書之一。

維爾的算牌策略

在本書中，勞倫斯維爾提出了多種算牌策略，包括維爾點演算法（Revere Point Count Strategy）、維爾數5算牌法（Revere Five-Count Strategy）、維爾加減算牌法（Revere Plus-Minus Strategy）、維爾數10算牌法（Revere Ten-Count Strategy）。這些策略有些是與朱利安．布勞恩（Julian Braun）合作完成的，基於愛德華．索普（Edward Thorp）的原始資料進行優化。

書籍的重要性

這是史上第一次，算牌法能夠被初階及中等程度的玩家理解並實際應用到賭桌上。書中有詳細的說明、彩色圖表指引玩家如何使用算牌法，並且強調紀律、練習和耐心的重要性。

勞倫斯維爾的遺產

勞倫斯維爾於1977年因癌症去世，但他的影響力仍持續至今。他於2005年與朱利安．布勞恩同時被選入21點名人堂。

Blackjack Basic Strategies - Winning Tactics

Blackjack remains one of the most favored casino games worldwide. Its straightforward nature, quick rounds, and favorable odds for informed players make it immensely popular.

Understanding the basic strategy is key to improving your odds against the house. Unlike games of pure chance like roulette or slots, blackjack involves strategic decisions.

New to blackjack? Don't fret. This guide will walk you through the basics, from learning game rules to applying strategies for a winning edge.

Step-by-Step Blackjack Tutorial

Even if you've never played blackjack, this primer will get you up to speed. We'll assume you're playing online, though the rules remain consistent offline.

In online blackjack, your competition is the computer. However, live dealer games pit you against a real person dealing cards via live stream.

Objective

Beat the dealer without your card total exceeding 21. Here's how: - Beat the dealer by having a total closer to 21 without going over. - If your cards exceed 21, you 'bust' and lose. - If the dealer busts, you win unless you've also busted. - Matching totals with the dealer results in a 'push,' and you get your bet back. - A two-card 21 (an Ace and a 10 or face card) is a 'blackjack,' which usually beats the dealer unless they also have 21.

How to Calculate Points:

• Cards 2-10: Face value.
• Aces: 1 or 11, whichever benefits your hand more.
• Face cards (J, Q, K): 10 points each.

Steps to Play

Step 1: Place Your Bets

Start by placing your chips in the betting box. Online, you select your bet amount and place it on the virtual table.

Step 2: Dealing Cards

Both you and the dealer get two cards. Your cards are face-up; one of the dealer's cards is face-up, the other face-down (the 'hole card').

Step 3: Tally Your Total

Sum the value of your cards to know your total points.

Step 4: Hit or Stand?

Decide whether to 'hit' for another card or 'stand' with your current hand.

Step 5: Dealer’s Turn

Once all players have acted, the dealer reveals their hole card and plays according to house rules, usually hitting until 17 or above.

Step 6: Determine the Winner

The closer hand to 21 without busting wins. Payouts are typically 1:1, but a winning blackjack pays 3:2.

What is Blackjack Basic Strategy?

Basic strategy in blackjack is a set of guidelines to make the mathematically best decision under different conditions, thus minimizing the house edge.

Considerations

This strategy accounts for your cards, the dealer’s visible card, and the number of decks. Other factors include whether doubling after splitting is allowed, or if the dealer hits on a 'soft 17' (containing an Ace counted as 11).

Detailed Blackjack Strategy

Understanding when to hit or stand on soft hands (hands with an Ace) versus hard hands (without an Ace or where the Ace counts as 1) is critical.

Key Strategies

1. Surrender a total of 16 when the dealer shows 9, 10, or Ace.
2. Surrender a total of 15 when the dealer shows 10.
3. Always split Aces and 8s.
4. Stand on a hard 17 or higher.
5. Stand on a soft 20 (Ace and 9).
6. Hit on a hard 5 to 8.

Side Bets in Blackjack

Side bets add excitement but don't follow basic strategy rules. Here are some popular ones:

Types of Side Bets

• Insurance Bet: When the dealer's upcard is an Ace. Pays 2:1 but generally not advisable.
• Perfect Pairs Bet: Bets on your first two cards being paired. Payout varies by the type of pair.
• 21+3: A combination of blackjack and poker, betting on your first two cards and the dealer’s upcard forming a poker hand.

Betting Systems in Blackjack

Betting systems dictate how much to bet and when. They’re a topic of debate—you must weigh the potential rewards against the risks.

Types of Betting Systems

Martingale System

Double your bet after every loss, aiming to recover losses with one win. This can quickly deplete a bankroll if losing streaks extend.

D'Alembert System

Increase your bet by one unit after each loss, decreasing it by one after a win.

Oscar’s Grind

Increase your bet after a win and reduce it after a loss, aiming for small, steady profits.

Blackjack Terms and Jargon

Knowing the lingo is vital: - Bankroll: Total money you’re willing to bet. - Blackjack/Natural: A two-card 21, automatically winning unless the dealer also has 21. - Bust: Exceeding 21 points and losing. - Double Down: Doubling your initial bet and receiving one final card. - Hit: Request another card. - Hole Card: Dealer's face-down card. - Insurance: A side bet against dealer's blackjack. - Push: Tie with the dealer; bet is returned. - Stand: Keep your current hand and end your turn. - Split: Divide two same-valued cards into two hands, betting on each separately. - Surrender: Forfeit your hand for half your bet back. - Upcard: Dealer’s face-up card.

Variations of Blackjack

Online casinos feature numerous blackjack variants, each with tweaks to rules and strategies:

• Spanish 21: Removes 10s from the deck, altering strategy.
• Blackjack Switch: Play two hands and optionally switch top cards for better results.
• Free Bet Blackjack: Free double-down and split options but pushes at dealer 22 instead of wins.

Conclusion

Blackjack is a game that marries luck and strategy beautifully. Memorize as much of the basic strategy as possible to enhance your confidence and chance of winning.

Discipline and sticking to proven tactics is the key to reducing the house advantage, even when facing losing streaks.

FAQ for Blackjack Strategy

Q: Are there other casino games similar to blackjack?

A: Games like baccarat and Texas hold'em have unique appeals and strategic elements, though differing in gameplay mechanics.

Q: Can one win without using a basic strategy?

A: You might, but why not play smart and use a strategy that mathematically improves your odds?

Q: Is there a foolproof way to win at blackjack?

A: No strategy can guarantee perpetual wins due to inherent game volatility and the house edge, but informed play enhances winning chances considerably.

Stay updated with our newsletters for more strategies and upcoming poker events!

精通21點策略：何時加牌與停牌的決策指南

21點（也稱為Blackjack）是一種廣受歡迎的撲克牌遊戲，其技巧不僅依賴於運氣，還需要高度的策略判斷。準確地決定是否要加牌、停牌、賭倍或分牌，將大大影響你的成績。讓我們深入了解這些決策背後的基本攻略。

玩家牌前兩張牌對應策略

| 玩家牌 | 策略 | | ------- | ----- | | 5-8 | 永遠加牌 | | 9 | 3-6賭倍，其餘加牌 | | 10 | 2-9賭倍，其餘加牌 | | 11 | 2-10賭倍，其餘加牌 | | 12 | 4-6停牌，其餘加牌 | | 13-16 | 2-6停牌，其餘加牌 | | 17以上 | 永遠停牌 | | A,2 | 5,6賭倍，其餘加牌 | | A,3 | 5,6賭倍，其餘加牌 | | A,4 | 4-6賭倍，其餘加牌 | | A,5 | 4-6賭倍，其餘加牌 | | A,6 | 3-6賭倍，其餘加牌 | | A,7 | 3-6賭倍，2,7,8停牌，9-A加牌 | | A,8-A,9 | 永遠停牌 | | 2,2 | 2-7分牌，其餘加牌 | | 3,3 | 2-7分牌，其餘加牌 | | 4,4 | 5,6分牌，其餘加牌 | | 5,5 | 永遠不分牌，當作10來打 | | 6,6 | 2-6分牌，其餘加牌 | | 7,7 | 2-7分牌，其餘加牌 | | 8,8 | 永遠分牌 | | 9,9 | 2-9分牌，7不分牌，10-A停牌 | | 10,10 | 永遠不分牌（已經20點了） | | A,A | 永遠分牌 |

請看策略表上玩家牌9這一行，它對莊家3、4、5、6都要賭倍，對其他則加牌。我們可以簡化這些規則成手上牌是9對3-6賭倍，其他加牌。

如何記住這些策略

為了搜尋最佳21點策略，建議以記憶卡片或者隨身參考表的形式，到賭場之前先背熟。即便在實戰中，你也可以將這些策略統整成簡單規則，藉由磨練和實戰經驗來加深記憶。

適用範圍與應用情境

儘管這些策略在大多數情況下都行之有效，但它們並不一定適用於每間賭場中。觀察其他玩家的操作和規則，並根據觀察來決定是否要使用這些策略。如果發現情況不佳，可能需要更換賭場。

21點新手指南

【新手入門】21點玩法解析，專業術語大公開！

作者: 賽局理論 日期: 2019-09-26 回應數: 0

網址: 點擊這裡閱讀更多

以上文章提供了21點的玩法解析，針對於剛入門的新手，非常適合學習。讀者可以透過這篇文章了解基本的術語與玩法技巧，從而提高自身的遊戲水準。

更多內容

如想了解更多相關知識，請參考下列連結: - 線上博彩 - 娛樂城 - 博弈技巧

註: 本文僅供參考，賭博有風險，請適度參與。

21點的魅力

世界各地的娛樂場所中，必有21點的設置。這種賭博不僅具有極大的吸引力，更能給予賭客們前所未有的刺激與興奮。

21點的規則

不論世界各地，21點的處理原則大體一致。然而，具體玩法卻有所不同，大部分地方採用17點辦法，也有少部分地方採用18點辦法。

基本理論戰術

迄今為止，21點已經發展出多種戰術。相信這些戰術會改變你以往對21點的看法，使用基本理論戰術將有助你在賭博中取勝。

莊家牌面分析

1. 如果莊家的牌面是2點，手持12點的閒家應該博牌。
2. 莊家牌面是3點時，手持13點以上的閒家不必再博牌。
3. 莊家牌面是4點、5點、6點時，手持12點以上的閒家不再博牌。
4. 莊家牌面是7點以上時，手持17點以下的閒家應該博牌。

投降與保險

投降是21點中一項重要的策略。如果在某些情況下劣勢較大，玩家可以選擇投降，以減少損失。

投降的正確時機

當莊家牌面是7點以上而你手中的牌是14至16點時，可以考慮投降。

保險策略

當莊家牌面是A時，玩家可選擇投買保險，以減少損失。但應該注意的是，過度地投買保險可能會影響你的投注策略。

數學機率

數學專家通過計算露面的牌和未露面的牌，來估算出贏牌的概率。雖然計算只是輔助，但了解這些概率有助於做出更為明智的決策。