Card Counting The Bust It Blackjack Side Bet - Blackjack Side Bets
DB21 is yet another blackjack side bet that pays if the dealer busts. This one has a unique distinction: I was the mathematician who did the original mathematical analysis. At the time I did this analysis December, , I was not routinely considering advantage play for games. I am therefore pleased that the results of this advantage play analysis did not expose negligence on my part. Nevertheless, DB21 is not risk-free. The DB21 side bet is easy to understand.
Bust It Blackjack Side Bet
P Heat In the past few years there has been a proliferation of blackjack side bets based on the theme of the dealer busting. It is offered both as an ordinary blackjack side bet and as a side bet for Spanish This article considers the countability of BI for ordinary blackjack. BI is a side bet that wins if the dealer busts with exactly 3 cards. If one or more players make a BI wager, then the dealer will draw a third card to any hand with a total of 12 to This draw will take place even if there is no action left by any player at the table. The BI bet wins for the player if the dealer busts with exactly three cards.
Card Counting the Bust It Blackjack Side Bet - Introduction
Before looking at the table below, ask yourself two questions: If an Ace is removed from the shoe, does the edge move towards the player or towards the house? Which card, if it is removed from the shoe, moves the edge towards the player by the greatest amount? The following table gives the effect of removals EORs and a balanced card counting system based on these EORs for the two-deck game: We see that Aces are the most valuable card for the house. Each time an Ace is dealt, the edge moves towards the house by about 0. The card that moves the edge towards the player side by the greatest amount is a seven. Each time a seven is dealt, the edge moves towards the player side by about 0. I do not have any intuition to explain this. The card counting system developed here, -1,0,0,1,1,0,2,1,0,-1 is not very accurate. It only weakly fits the EORs, with a betting correlation of only about 0. A more complex system would perform better.
If DB21 was highly vulnerable, it may be worth developing such a system, but that is not the case here. The following table gives the results of simulating one billion 1,,, two-deck shoes, playing DB21 using the card counting system above: The AP will make the DB21 wager on about The following table gives the combinatorial analysis for DB21 for six-decks: In particular, The house edge is 2. The following table gives the effect of EORs for the six-deck shoe game. Note how much smaller these EORs are than in the two-deck case. As usual, card counting is much less effective as the number of decks increases. Otherwise, the player loses the BI bet. The following tables give the combinatorial analysis for the BI bet for 2 and 6 decks. In particular, note that: The house edge for the two-deck version is 7. The house edge for the six-deck version is 6. As usual, card counting is much stronger with two decks than with six decks.
I will first consider the two-deck version. 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. Note that by removing a single Ace from a two-deck game, the edge moves towards the player by 2. This is a tremendous change in edge for a single card and indicates that this bet is highly countable. For an analysis of all of them, please see my Bonus Blackjack page. Bonus Jackpot This is a progressive side bet based on three cards and marketed by Galaxy Gaming. For all the details and analysis, please see my Bonus Jackpot page. Bust This a simple side bet that pays 5 to 2 if the dealer busts. For more information, please see my page on the bust bet.
Bust Bonus Please see my page on Bust Bonus for more information on this side bet. Buster Blackjack This side bet wins when the dealer busts. The more cards it takes, the more it pays.
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Blackjack Side Bets Introduction This appendix shall explain and analyze some blackjack side bets I have seen. In the U. The outcome of the 21 Magic bet is so dependent on player strategy that I analyzed it in connection with the blackjack wager. Please see my Buffalo Blackjack page for more information. Bet the Bust Please see my page on Bet the Bust for more information on this side bet.
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