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que causa infecções
One of the most common blackjack side bets in California card rooms is known as Buster
Blackjack (BBJ). I found 💸 this documentation online. The player who makes the BBJ wager
wins if the dealer busts. The payout is then based 💸 on the total number of cards in the
dealer’s busted hand. There are a lot of details to share, so 💸 I’ve decided to break up
the discussion into the six-deck case and the two-deck case. This article covers card
counting 💸 BBJ in a six-deck shoe game.
When I was asked about the vulnerability of BBJ
to card counting by one of 💸 California’s largest banking corporations, I told them “not
very.” After all, the dealer needs low cards to generate hands with 💸 lots of cards, he
needs mid-cards to give stiff totals of 15 and 16, and he needs high cards to 💸 bust
hands. My intuition was both right and wrong: the difference is the pay table. There
are eight different pay 💸 tables for BBJ that are in use or recommended. I investigated
all eight and found that five of these eight 💸 are vulnerable and three are not. There is
also a progressive version of BBJ that I did not investigate at 💸 all.
To begin with, I
am going to focus on one specific vulnerable pay table for BBJ. This is the most 💸 common
pay table used by card rooms banked by one of the largest corporations in California.
The pay table is 💸 as follows:
Dealer busts with 8+ cards pays 200-to-1.
Dealer busts
with 7 cards pays 100-to-1.
Dealer busts with 6 cards pays 30-to-1.
Dealer 💸 busts with 5
cards pays 6-to-1.
Dealer busts with 4 cards pays 3-to-1.
Dealer busts with 3 cards
pays 1-to-1.
Otherwise, the player 💸 loses the BBJ bet.
Here is the combinatorial
analysis for this pay table:
In particular,
The house edge is 4.724%.
The standard
deviation is 💸 2.724.
The hit frequency is 28.576%.
The following table gives the effect
of removal (EOR) for each card. The EOR tells the 💸 change in house edge by removing a
single card of that rank and re-computing the house edge. A positive EOR 💸 means that the
edge moves towards the player side if the card is removed. A negative EOR means that
the 💸 edge moves towards the house side if the card is removed.
Notice how much larger
the EOR is for the cards 💸 A, 2, 3 than for any other card. With an abundance of these
three cards in the shoe, the dealer 💸 is more likely to have hands with a large number of
cards. Whether the dealer’s hand busts or not is 💸 beside the point to beat this pay
table: the primary goal is to have multi-card hands. Removing a single deuce 💸 from a
six-deck shoe moves the edge towards the house by 0.77%. That’s big. Also, an Ace never
busts with 💸 fewer than four cards. Removing an Ace from the six-deck shoe moves the edge
towards the house by 0.35%.
In the 💸 table above, under the column Sys #1, I give tags
for the optimal card counting system #1. I simply use 💸 the EOR’s to two decimal places,
scaled to make the index for a ten-valued card equal to 1. System #1 💸 is not intended to
be used in practice. I include it only for purpose of determining an upper bound for
💸 the profit possible by card counting BBJ.
Under the column Sys #2, I give a balanced
card counting system that can 💸 be used in practice. System #2 shows the importance of
the cards A, 2, 3 to the card counter, with 💸 deuces the most valuable card. The betting
correlation for this system is 0.977. For math geeks, this value is the 💸 cosine of the
angle between the vectors given by system #1 and system #2. The closer this value is to
💸 1, the more accurate the system.
To analyze these two systems, I simulated one hundred
million (100,000,000) six-deck shoes, with the 💸 cut card placed at 260 cards (1 deck
from the end), for each system. The following table summarizes the results 💸 of these
simulations:
Note that system #2 returns 95.0% of the profit that optimal system #1
returns.
These numbers indicate a moderate 💸 vulnerability to advantage play. If the AP
uses system #2 against BBJ on a fast heads-up game where he gets 💸 200 rounds per hour,
and the AP makes aR$100 wager on BBJ whenever he has the edge, then the AP 💸 can
earnR$140 per hour on the BBJ side bet. The AP using system #2 will have an average
edge over 💸 the house of 5.28% and will make the BBJ bet on 13.29% of his hands.
As I
mentioned at the start 💸 of this post, there are eight different pay tables that I
considered for BBJ. The following table gives the combinatorial 💸 analysis for another
pay table in common use:
In particular
The house edge is 4.691%.
The standard deviation
is 1.989.
The hit frequency is 💸 28.576%.
Because a hand that contains an Ace does not
bust with fewer than four cards, the increase in payout for 💸 busting with three cards
does not come into play with a hand that includes an Ace. Moreover, busting with four
💸 or more cards has greatly reduced payouts. These two factors eliminate the
effectiveness of Aces to the card counter.
The following 💸 table gives the EOR’s for this
pay table, along with a card counting system based on these EOR’s. In particular,
💸 notice how much the EOR for the Ace has changed.
System #3 is a reasonable choice,
based on the EOR’s. The 💸 betting correlation for this system is 0.973.
I was very
surprised at how different the tags for this pay table are 💸 from those developed for the
previous pay table. This highlights the profound difference in strategy involved in
beating these two 💸 pay tables. I know of no other blackjack side bet that has as
significant a strategy change for the AP 💸 based purely on the pay table being used.
To
analyze this pay table and system #3, I ran a simulation of 💸 twenty million (20,000,000)
six-deck shoes, with the cut card placed at 260 cards. The results were very
disappointing for the 💸 AP:
The trigger count is +8.
The average edge is 2.33%.
The bet
frequency is 3.64%.
The number of units won per 100 hands 💸 is 0.085.
These numbers
indicate a very low vulnerability to advantage play. If the AP uses system #3 on a fast
💸 heads-up game where he gets 200 rounds per hour, and the AP makes aR$100 wager on BBJ
whenever he has 💸 the edge, then the AP can earn aboutR$17 per hour.
There are two other
pay tables that are similar to this 💸 one, paying 2, 2, 4 units respectively for busting
with 3, 4 or 5 cards. Simulations against these other pay 💸 tables showed an even lower
vulnerability to card counting. Because of their low vulnerabilities, I will not
include these pay 💸 tables in any further discussion of card counting BBJ.
The following
table summarizes the combinatorial analysis for six different pay tables 💸 for BBJ:
The
following table gives the results of card counting BBJ against each of these six pay
tables.
For pay tables 💸 #1, #2, #3, #4 and #5, I used system #2 with tags (-2, -3, -2,
0, 0, 0, 1, 1, 💸 1, 1).
For pay table #6, I used system #3 with tags (1, -3, -2, 0, 1,
-1, 2, 1, 1, 💸 0).
The only difference between pay tables #2, #3 and #4 is the top award.
For pay table #4, the AP 💸 can earn about 0.737 units per 100 hands by card counting BBJ.
This is as good as it gets for 💸 the AP using system #2 in a six-deck shoe game.
The
relative weakness of card counting using system #2 against pay 💸 table #5 surprised me; I
thought it would do better. These results may be because system #2 was designed for 💸 pay
table #2. A different count may work better against pay table #5. I’ll leave the
development and evaluation of 💸 that card counting system as an exercise to the
reader.
Normally, at this point, I would simulate various penetration levels in 💸 the
shoe to demonstrate the effectiveness of cut-card placement on game protection. I would
then make recommendations for protecting BBJ 💸 that follow a standard game protection
model for card counting blackjack side bets. In this case, however, it is completely
💸 clear how to protect BBJ.
I have only one game protection recommendation for BBJ, and
it’s easy:
Como instalar a onabet no seu dispositivo no Brasil
A onabet é uma plataforma de apostas esportivas que está crescendo em popularidade no Brasil. Se você está interessado em começar a apostar em esportes, a onabet pode ser uma ótima opção para você. Neste artigo, você vai aprender como instalar a onabet em seu dispositivo no Brasil.
Antes de começarmos, é importante notar que a onabet não está disponível nas lojas oficiais de aplicativos, como a Google Play Store ou a Apple App Store. Em vez disso, você precisará baixar o aplicativo diretamente do site da onabet.
Passo 1: Navegue até o site da onabet
Abra o navegador em seu dispositivo e navegue até o site da onabet em . Certifique-se de que você esteja acessando o site oficial da onabet, pois existem muitos sites fraudulentos que podem ser confundidos com o real.
Passo 2: Faça o download do aplicativo
Uma vez no site da onabet, você verá uma opção para baixar o aplicativo. Clique no botão de download e aguarde a conclusão do download. O tamanho do aplicativo é de aproximadamente 20 MB, então deve levar apenas alguns segundos para ser concluído, dependendo da velocidade da sua conexão com a internet.
Passo 3: Instale o aplicativo
Após o download concluído, você poderá instalar o aplicativo. Se você estiver usando um dispositivo Android, poderá ser solicitado que você habilite a opção "Fontes desconhecidas" nas configurações do seu dispositivo. Isso permite que você instale aplicativos que não são provenientes da Google Play Store.
Depois de habilitar a opção "Fontes desconhecidas", você poderá instalar o aplicativo clicando no arquivo baixado e seguindo as instruções na tela.
Passo 4: Crie uma conta
Depois de instalar o aplicativo, você precisará criar uma conta para começar a apostar. Clique no botão "Registrar-se" ou "Criar conta" no aplicativo e siga as instruções na tela para fornecer suas informações pessoais e criar uma senha.
É importante notar que você deve ter pelo menos 18 anos de idade para criar uma conta na onabet. Além disso, você precisará verificar sua conta fornecendo uma cópia de um documento de identidade válido, como um passaporte ou um cartão de identidade brasileiro.
Passo 5: Faça um depósito
Depois de criar sua conta, você precisará fazer um depósito para começar a apostar. A onabet oferece várias opções de pagamento, incluindo cartões de crédito, bancos brasileiros e carteiras eletrônicas, como a Pix.
Para fazer um depósito, clique no botão "Depositar" no aplicativo e selecione a opção de pagamento desejada. Em seguida, insira o valor desejado e siga as instruções na tela para completar a transação.
Passo 6: Comece a apostar
Agora que você tem fundos em sua conta, você pode começar a apostar em esportes. A onabet oferece uma ampla variedade de esportes para apostar, incluindo futebol, basquete, tênis e vôlei.
Para fazer uma aposta, navegue até o esporte desejado e selecione o jogo no qual deseja apostar. Em seguida, escolha o tipo de aposta que deseja fazer e insira o valor desejado. Por fim, clique no botão "Colocar aposta" para confirmar sua aposta.
É importante lembrar que as apostas esportivas podem ser riscadas. Nunca apost
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- 注意：这篇文章是由AI生成的，可能有语法和逻辑错误，请以实际情况为准。
- 记得在使用的时候将LeetCode的链接替换为你自己的博客链接。
```
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