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The “Lucky Lucky” (LL) blackjack side bet has payouts based on the player’s two cards

and the dealer’s up-card. After 2️⃣ the player makes the LL bet, the values of the player’s

two cards and dealer’s up card are summed. Hands 2️⃣ that total 19, 20 or 21 are winners,

with bonuses for suited hands and for the hands 6-7-8 and 7-7-7. 2️⃣ All other hands lose.

As usual for blackjack, an Ace counts as 1 or 11. From 2009 through early 2012, 2️⃣ this

wager was licensed through Gaming Network, Inc. Unfortunately, Gaming Network dissolved

in April of 2012. This wager is currently 2️⃣ licensed through Aces Up Gaming.

There are

versions of the bet for both a double-deck game and a six-deck shoe. Here 2️⃣ are the most

common pay tables and the house edge for each:

The following table gives the effect of

removal (EOR) 2️⃣ for each card for the double-deck version of LL. This table shows the

importance of the 6’s, 7’s and 8’s 2️⃣ to player side. The Aces are also good for the

player, mainly because of their dual role as a value 2️⃣ of 1 or 11. This table also shows

that the cards 2, 3 and T benefit the house so that 2️⃣ the edge moves towards the player

as they are played from the deck. The reason for this is intuitive. First, 2️⃣ the 2’s and

3’s are too small; it is hard to get a total up to 19 after being dealt 2️⃣ these cards.

Next, if the player is dealt a ten-valued card, then most likely his three-card total

will exceed 21. 2️⃣ The card counter likes it when there are a lot of A’s, 6’s, 7’s and 8’s

in the deck. He 2️⃣ doesn’t like it when there are a lot of 2’s, 3’s and T’s in the

deck.

By looking at the column 2️⃣ for EOR, I created a card counting system that assigns

the 7’s a card counting value of -2 (negative two). 2️⃣ To do this, I multiplied each value

in the EOR column by 115.81 to get “System 1” with card counting 2️⃣ tags (-0.98, 0.90,

0.70, 0.47, 0.37, -1.21, -2.00, -1.46, 0.29, 0.73). As usual for card counting systems,

these tags are 2️⃣ given in the order (A, 2, 3, 4, 5, 6, 7, 8, 9, T).

System 1 in not meant

as a 2️⃣ practical system. However, as a baseline counting system, it is worthwhile to see

how it performs. In an effort to 2️⃣ simplify this system, I also considered the balanced

card counting system with tags (-1, 1, 1, 0, 0, -1, -2, 2️⃣ -2, 0, 1). I’ll refer to this

system as “System 2.” This system is easily used by a card counter 2️⃣ of average skill

level.

I wrote a computer program to simulate using these two systems in live play. My

baseline simulation 2️⃣ assumed a double-deck version of blackjack. For convenience, I’ll

refer to the double-deck game as a “shoe.” After the cards 2️⃣ in the shoe were shuffled, I

assumed that the cut-card was placed after the 75-th card in the shoe. A 2️⃣ burn card was

dealt and the shoe was played out until the cut card came out. The shoe was then

2️⃣ shuffled and the next shoe was simulated.

The following table gives the results of a

simulation of one billion (1,000,000,000) shoes 2️⃣ for each system

These simulations show

that the card counter should make the LL wager whenever the true count is +2 2️⃣ or higher

for the indicated system. With System 1, the player would have an average edge over the

house of 2️⃣ 6.33% whenever he made the bet and he would make the bet on 26.44% of the

hands he played. The 2️⃣ player would then win about 1.674 units per 100 blackjack hands.

With System 2, the player has an average edge 2️⃣ over the house of 5.57% whenever he makes

the LL bet, and he would make the bet on 28.48% of 2️⃣ the hands. The player would then win

about 1.586 units per 100 blackjack hands.

As these results show, System 2 performs

2️⃣ remarkably well compared to the nearly optimal System 1. To put this in perspective, if

a person is playing head’s 2️⃣ up double-deck, he may get as many as 200 rounds per hour.

If the maximum allowed wager on LL isR$100, 2️⃣ then an advantage player will earn 1.586 x

2 xR$100 =R$317.27 per hour from card counting the LL wager.

The following 2️⃣ table shows

the player edge as a function of the true count for the double-deck version with the

cut card 2️⃣ placed at 75 cards, using System 2. The purpose of this analysis is to show

how the player edge is 2️⃣ correlated to the true count. These results are based on a

simulation of one billion (1,000,000,000) shoes.

Compared to ordinary blackjack 2️⃣ card

counting, where the player edge reaches a theoretical maximum of about 5%, playing

against LL can lead to some 2️⃣ very large advantages. The player gets an edge in excess of

10% on about 4% of his hands and an 2️⃣ edge in excess of 20% on about 1% of his hands. On

about 5 hands per 10,000, the player will 2️⃣ have an edge in excess of 40%.

The natural

defense a casino has towards a card counting form of advantage play 2️⃣ is to position the

cut card so that fewer cards are dealt between shuffles. The following table gives the

EV 2️⃣ per bet, bet frequency, and units won per 100 hands for cut card placements from 50

to 80 cards. Each 2️⃣ row was arrived at by a simulation of one hundred million

(100,000,000) shoes with the cut card placed at the 2️⃣ indicated depth. As is evident from

this table, the double-deck version of the LL wager is vulnerable to card counting,

2️⃣ even at modest cut card placements. It follows that decreasing deck-penetration is not

a viable way of protecting this wager.

It 2️⃣ is worthwhile comparing these results to the

six-deck version of the wager. For the six-deck game, a similar nearly perfect 2️⃣ “System

1” was developed after computing the EOR for each card. It was then compared to the

results from using 2️⃣ System 2 (the same system as for two decks). System 2 once again

performed exceptionally well. The following table gives 2️⃣ the six-deck results for a cut

card placed at 260 cards (1 deck cut off):

As can be seen from this 2️⃣ table, the six-deck

version is vulnerable and System 2 is a powerful system to use against it. However,

even with 2️⃣ a very deep cut card placement of 260 cards (52 cards cut off), the player’s

edge is about the same 2️⃣ as a mediocre placement of the cut card at 54 cards in the

double-deck version. For this reason, a player 2️⃣ who is targeting the LL side bet is much

more likely to attack the double-deck version than the six-deck game. 2️⃣ Because of this,

I did not pursue the analysis of the six-deck version any further.

The Lucky Lucky side

bet is 2️⃣ extremely popular. However, it has a significant vulnerability to card counting

and that vulnerability needs to be addressed. Because an 2️⃣ expert player will be giving

up very little to the house on the main blackjack game, such a player can 2️⃣ have great

longevity flat betting and staying under the radar, while selectively betting LL on

about 28% of his hands. 2️⃣ Such a player can easily produce a profit in excess ofR$200 per

hour at a fast game with a limit 2️⃣ ofR$100 on the LL bet.

The following are my

recommendations for protecting the Lucky Lucky side bet:

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No cassino, existem muitos jogos populares e entre eles está o Blackjack. Mais especificamente, uma variação do jogo é o 🏵 chamado 21+3. Neste artigo, vamos falar sobre as regras do 21+3, combinações, probabilidades e dicas para aumentar suas chances de 🏵 ganhar. Se deseja jogar Blackjack no Brasil, este conteúdo é essencial para você.

Como jogar 21+3

21+3 é uma aposta lateral (side-bet) 🏵 ao jogo original do Blackjack. Em vez de apenas jogar contra o croupier, você fará uma aposta adicional com as 🏵 duas primeiras cartas que receber e a carta descoberta do croupier. A idéia consiste em fazer um “trinca” (three of 🏵 a kind), “ sequência ” (straight), “flush” ou “par + flush” com as três cartas.

O cassino paga suas chances em 🏵 relação às probabilidades calculadas, como explicaremos adiante.

Combinações e probabilidades no 21+3

How to play Gold Rush Express

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Choose your bet level and press spin to begin.

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Match 3 or more symbols along the 20 potential paylines to win.

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Landing a Gold Train or Bell symbol on reel 5 activates the Rush Express bonus feature.

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