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Flush Rush

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

  1. The game is played with a standard 52-card deck. All cards ranked as in conventional poker.
  2. The player makes an Ante wager, plus optional All or Nothing side bet.
  3. The player receives four cards.
  4. The player may make a first Play bet, equal to his Ante, or fold.
  5. If the player is still in the game, then he receives two more cards.
  6. The player may make a second Play bet, equal to his Ante, or fold.
  7. If the player is still in the game, then he receives one more card.
  8. 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.
  9. The Play bets pay even money with a flush of four or more cards, otherwise they lose.
  10. 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
 

External Links

Discount Gambling also has an analysis of the game, which addresses player collusion.
 

Written by: Michael Shackleford