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Lucky Nines
Introduction
I first noticed the Lucky Nines side bet on a baccarat machine on a bar top multi-game machine by Interblock at Binion's Las Vegas on October 13, 2019. The bet pays according to the number of nines between the Player's and Banker's initial two cards and whether they are suited.
Rules
- Eight decks are used.
- Two cards are dealt to the Player and Banker hands each.
- The Lucky Nines bet pays according to the following pay table and those initial four cards. Pays are on a "to one" basis.
Lucky Nines Pay Table
Event Pays Four nines 500 Three suited nines 250 Three nines 20 Two suited nines 8 Two nines 5 One nine of diamonds 2 One nine 1
Analysis
The following table shows the number of combinations, probability, and contribution to the return of all possible outcomes. The lower right cell shows a house edge of 19.46%.
Lucky Nines Return Table
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Four nines | 500 | 35,960 | 0.000029 | 0.014619 |
Three suited nines | 250 | 64,512 | 0.000052 | 0.013113 |
Three nines | 20 | 1,840,128 | 0.001496 | 0.029922 |
Two suited nines | 8 | 8,236,032 | 0.006696 | 0.053571 |
Two nines | 5 | 28,237,824 | 0.022959 | 0.114794 |
One nine of diamonds | 2 | 74,908,672 | 0.060905 | 0.121810 |
One nine | 1 | 224,726,016 | 0.182714 | 0.182714 |
No nines | -1 | 891,881,376 | 0.725148 | -0.725148 |
Total | 1,229,930,520 | 1.000000 | -0.194605 |
Written by: Michael Shackleford