Blackjack Dollar Sevens
A description and mathematical analysis of a Blackjack side bet.
By Andrew MacDonald, Senior Executive Casino Operations
and Pryna Ypma Business Analyst
Adelaide Casino, 1996
Introduction | Game and Tournament Rules | Submission A | Submission B | Rules: Dollar Sevens Tournament | Mathematical Analysis | Comparison to Caribbean Stud | Conclusion |
| PROBABILITY |
PAYOUT
|
|
| Royal Flush | 0.0002% | 10 000 * |
| Straight Flush | 0.0014% | 1 000* |
| Four of a Kind | 0.0240% | 500 |
| Full House | 0.1441% | 150 |
| Flush | 0.1965% | 100 |
Hit Frequency = 0.37%
House Advantage = 10.48%
*start up values at the Adelaide Casino.
The mean value for the Caribbean Stud Royal Flush is $159,811 based on Adelaide Casino rules and thus a mean value for the straight flush is $15,981 (10% of the mean)
The hit frequency for the Caribbean Stud jackpot at 0.37% compares to that calculated for Dollar Sevens of 0.58%.
The House advantage of the Caribbean Stud jackpot at 10.48% compares to that calculated for Dollar Sevens of 10.17%.
Scrutiny at all levels of payouts suggests very similar characteristics for both side bets.
| OUTCOME | PROBABILITY | OUTCOME | PROBABILITY |
| 2 unsuited sevens | 0.413% | Flush | 0.197% |
| 2 suited sevens | 0.120% | Full House | 0.144% |
| 3 unsuited sevens | 0.040% | Four of a Kind | 0.024% |
| 3 suited sevens | 0.0019% | Straight Flush or Royal Flush | 0.0016% |
The maximum prize for the Dollar Sevens Tournament is $250,000 with second prize being $50,000 compared to the calculated mean prize for Caribbean Stud of $159,811 for a Royal Flush and $15,981 for a straight flush.
