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bACEball
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Introduction
I first heard about bACEball from one of my readers in late 2016. It is a table game found at the Star City casino in Sydney, Australia. It is easy to play and requires no strategy.
Rules
- The game is played with six 52-card decks.
- Cards in the range of 2-10 count as pip value, all face cards are 10 points, and aces are 11 points.
- After bets have been made, the player and dealer will each receive three cards.
- If the player has three aces it is referred to as a "home run."
- If the player has any three 10-point cards, it is referred to as a "strike out."
- The main wager is called the "bet." The rules of that are as follows.
- If the player has a Home Run, he automatically wins and the Bet shall pay 10 to 1.
- Otherwise, if the player has a Strike Out, then he shall automatically lose.
- Otherwise, the total points of the player and dealer shall be compared, the higher total wins.
- If the player has the higher total, then the Bet shall pay 1 to 1.
- If the dealer has the higher total, then the Bet shall lose.
- If the point totals are equal, then the Bet shall push.
- The First Strike wager shall be based on the players first card. The rules of that are as follows.
- If the card is any 10-point card, then the First Strike shall pay 2 to 1.
- Otherwise, the First Strike Bet shall lose.
It is worth nothing that this bet is exactly the same as the insurance bet in blackjack. - There is also a Second Strike bet based on the second card and Third Strike bet based on the third card. Both follow the same rules as the First Strike bet above.
- The Strike Out wager shall be based on all three player cards. The rules of that are as follows.
- If all three cards are worth 10 points, then the Strike Out bet shall pay 30 to 1.
- Otherwise, the Strike Out bet shall lose.
- Finally, there is a Jackpot bet, based on any aces in the player hand. I don't have enough details on this bet so I'm omitting further mention of it on this analysis until I do.
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Analysis
The following table shows my analysis of the "Bet" wager. The lower right cell shows a house edge of 5.07%.
Bet
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Home run | 10 | 354,821,011,776 | 0.000404 | 0.004037 |
Player wins | 1 | 391,677,432,390,144 | 0.445661 | 0.445661 |
Tie | 0 | 47,095,447,011,840 | 0.053586 | 0.000000 |
Dealer wins | -1 | 414,693,667,468,800 | 0.471849 | -0.471849 |
Strike out | -1 | 25,047,839,013,120 | 0.028500 | -0.028500 |
Total | 878,869,206,895,680 | 1.000000 | -0.050651 |
The following table shows my analysis of each Strike wager. The lower right cell shows a house edge of 7.69%.
Strike Wagers
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
10-point card | 2 | 96 | 0.307692 | 0.615385 |
Other | -1 | 216 | 0.692308 | -0.692308 |
Total | 312 | 1.000000 | -0.076923 |
The following table shows my analysis of the Home Run wager. The lower right cell shows a house edge of 11.65%.
Strike Out
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Three 10-point cards | 30 | 142,880 | 0.028500 | 0.855002 |
Other | -1 | 4,870,440 | 0.971500 | -0.971500 |
Total | 5,013,320 | 1.000000 | -0.116498 |
External Links
- Official rules — From the New South Wales Liquor & Gaming Authority.
- Discussion about bACEball in my forum at Wizard of Vegas.