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我們經常提到的期望收益是交易系統中的勝算，是推測未來期望收益的依據。這次要介紹的公式名叫凱利公式。
使用凱利公式前，首先需要知道如何計算期望值，有四個步驟：
公式為 F = (b*p - q) / b
F = 投注金額占總資金比例，p = 獲勝概率，q = 失敗概率（即q = 1-p），b = 賠率。假設總賭本1萬元，玩家取勝概率51%，賠率1:1，最佳賭注為：
10000 * (1 * 0.51 - 0.49) / 1 = 200元。
此公式中的b*p - q代表贏面，數學上稱為期望值。凱利公式指出，正期望值才可以下注，這是一切賭戲的基本道理，也就是說，沒有把握就不下注。贏面還要除以b才是投注資金比例。因此，在贏面相同的情況下，賠率越小越可以多押注。
接觸網路博彩已經有幾年的時光，這一過程並不總是愉快。我對於各種不同的博彩遊戲都有過嘗試，但最有興趣的還是百家樂。
最初學習百家樂時，我研讀了很多書籍，也從博彩論壇的前輩們那裡請教經驗。在技術和經驗上自認為過關，但為什麼總是小輸小贏，不能穩贏呢？
隨著博彩業的發展，更多人開始接觸網絡博彩。我認識了形形色色的玩家，最終發現最大的競爭對手其實是自己。
在玩百家樂的過程中，我明白了一個道理：無論在生活中還是在遊戲中，真正的競爭對手都是自己，而不是遊戲本身。只有掌握技巧和經驗，冷靜應對任何情況，才能真正贏得遊戲。
百家樂不僅是一個遊戲，更是一個自我挑戰的過程。克服情緒波動和突發狀況，才是獲勝的關鍵。
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（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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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 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.
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.
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.
Start by placing your chips in the betting box. Online, you select your bet amount and place it on the virtual table.
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').
Sum the value of your cards to know your total points.
Decide whether to 'hit' for another card or 'stand' with your current hand.
Once all players have acted, the dealer reveals their hole card and plays according to house rules, usually hitting until 17 or above.
The closer hand to 21 without busting wins. Payouts are typically 1:1, but a winning blackjack pays 3:2.
Basic strategy in blackjack is a set of guidelines to make the mathematically best decision under different conditions, thus minimizing the house edge.
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).
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.
Side bets add excitement but don't follow basic strategy rules. Here are some popular ones:
Betting systems dictate how much to bet and when. They’re a topic of debate—you must weigh the potential rewards against the risks.
Double your bet after every loss, aiming to recover losses with one win. This can quickly deplete a bankroll if losing streaks extend.
Increase your bet by one unit after each loss, decreasing it by one after a win.
Increase your bet after a win and reduce it after a loss, aiming for small, steady profits.
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.
Online casinos feature numerous blackjack variants, each with tweaks to rules and strategies:
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.
A: Games like baccarat and Texas hold'em have unique appeals and strategic elements, though differing in gameplay mechanics.
A: You might, but why not play smart and use a strategy that mathematically improves your odds?
A: No strategy can guarantee perpetual wins due to inherent game volatility and the house edge, but informed play enhances winning chances considerably.
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Online gambling should never become an addiction. Remember, gambling is meant to add excitement to life, not to become a detrimental habit. Always gamble responsibly and maintain a rational approach to your daily life.
