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The only published strategy for High Card Flush has been the Charles Mousseau Strategy, which is to make a maximum Raise bet on any four-card or higher flush, and to Raise any three-card flush of rank T-8-6 or greater, otherwise FOLD. That strategy for three card flushes was developed without regard to cards that are not part of the flush. Wizard of Odds contributor Gordon Michaels has published a High Card Flush Advanced Strategy. His strategy considers the suit distribution of the penalty cards with T-3-2 to T-9-8. The bottom line is a house edge of 2.6855%.
Introduction
Flush Rush is a new table game I first noticed at the D casino in Las Vegas in May 2014. The game combines the emphasis of flushes in High Card Flush and the raise or fold betting structure in Mississippi Stud. The longer the flush, or straight flush, in the player's final hand, the more he wins.
Rules
- The game is played with a standard 52-card deck. All cards ranked as in conventional poker.
- The player makes an Ante wager, plus optional All or Nothing side bet.
- The player receives four cards.
- The player may make a first Play bet, equal to his Ante, or fold.
- If the player is still in the game, then he receives two more cards.
- The player may make a second Play bet, equal to his Ante, or fold.
- If the player is still in the game, then he receives one more card.
- The Ante bet is scored according to the following pay table. If the player has both a paying flush and straight flush hand, then he will receive the higher of the two pays.
- The Play bets pay even money with a flush of four or more cards, otherwise they lose.
- The All or Nothing pays based on the player's first four cards only, as explained below.
Flush Rush — Pay Table
| Longest Suit Run | Flush Pays | Straight Flush Pays |
|---|---|---|
| 7 | 300 | 1000 |
| 6 | 20 | 500 |
| 5 | 9 | 100 |
| 4 | 5 | 15 |
| 3 or Less | Loss | Loss |
Strategy
The strategy for Flush Rush is simple, as follows.- After four cards: Raise with anything except a rainbow (one card of each suit)
- After six cards: Raise with hope of a winning hand (length of greatest suit equal to three or more).
Analysis
The following return table shows the probability and return of all possible outcomes in Flush Rush. The lower right cell shows a house edge of 3.75%.Flush Rush — Base Game
| Event | Pays | Permutations | Probability | Return |
|---|---|---|---|---|
| 7-Card Straight Flush | 1002 | 3,360 | 0.000000 | 0.000240 |
| 6-Card Straight Flush | 502 | 167,160 | 0.000012 | 0.005974 |
| 5-Card Straight Flush | 102 | 4,127,760 | 0.000294 | 0.029972 |
| 4-Card Straight Flush | 17 | 65,648,544 | 0.004673 | 0.079447 |
| 7-Card Flush | 302 | 697,620 | 0.000050 | 0.014998 |
| 6-Card Flush | 22 | 26,945,100 | 0.001918 | 0.042199 |
| 5-Card Flush | 11 | 372,841,560 | 0.026542 | 0.291959 |
| 4-Card Flush | 7 | 2,627,978,496 | 0.187080 | 1.309557 |
| Fold one unit | -1 | 1,481,973,168 | 0.105498 | -0.105498 |
| Fold two units | -2 | 4,431,366,576 | 0.315459 | -0.630917 |
| Non-paying hand | -3 | 5,035,629,456 | 0.358475 | -1.075424 |
| Total | 14,047,378,800 | 1.000000 | -0.037493 |
The average final wager is 2.47 units, making the Element of Risk equal to 3.75%/2.47 = 1.52%.
All or Nothing
The following is the return table for the All of Nothing side bet. The lower right cell shows a house edge of 3.95%.
All or Nothing
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| All | 30 | 2,860 | 0.010564 | 0.316927 |
| Nothing | 5 | 28,561 | 0.105498 | 0.527491 |
| All other | -1 | 239,304 | 0.883938 | -0.883938 |
| Total | 270,725 | 1.000000 | -0.039520 |