9 Card Fortune Flush Analysis

9 Card Fortune Flush Analysis

9 Card Fortune Flush Analysis

July 16, 2021  Authorbjbajian

Analysis of 9 Card Fortune Flush
The only strategic choice is whether to play or fold the Play bet. Making the Play wager with at least one card in the chosen color has the best odds. Fold if all 3 cards are the same color.

The table below depicts the probable results of the 9 Cards bet if the optimal approach is used. The house edge in the lower right cell is 2.17 %.

9 Cards
EVENT PAYS PROBABILITY RETURN
4-card flush or longer 2 27.81% 55.62%
3-card flush 0 37.42% 0.00%
Fold -1 11.76% -11.76%
2-card flush or shorter -2 23.01% -46.02%
Total 100.00% -2.17%


The player will raise 88.24% of the time, resulting in a final bet of 1.8824 units on average. As a result, the Element of Risk is 2.17 % /1.8824 = 1.15 %, which is defined as the projected loss ratio to the average total wager.

The probable outcomes of the First 3 bet are shown in the table below. The house edge in the lower right cell is 1.88 %.

First 3
EVENT PAYS PROBABILITY RETURN
3 5 2.59% 12.94%
2 2 27.53% 55.06%
Other -1 69.88% -69.88%
Total 100.00% -1.88%


The Player's 6 bet has six different outcomes, as shown in the table below. The house edge in the lower right cell is 1.31 %.

Player's 6
EVENT PAYS PROBABILITY RETURN
4+ 3 5.71% 17.14%
3 2 25.28% 50.55%
Other -1 69.01% -69.01%
Total 100.00% -1.31%


The table below displays the probable results of the 9 Card Bonus bet if you use the recommended approach. The house edge in the lower right cell is 8.89 %.

9 Card Bonus
EVENT PAYS PROBABILITY RETURN
9 5000 0.00% 0.19%
8 1000 0.00% 2.73%
7 100 0.07% 6.91%
6 20 0.85% 17.05%
5 10 5.75% 57.55%
Other -1 93.32% -93.32%
Total 100.00% -8.89%