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Dueling for Dollars

Introduction

Dueling Dollars could be described as a variant of Casino War. It is found in a few casinos in Washington state and is marketed by Galaxy Gaming.

Rules

 

Following are the rules for Dueling for Dollars. To avoid confusion, the names of bets are capitalized and the term for the person playing the game, the "player," is left in lower case.

  1. The game uses any number of ordinary 52-card playing cards.
  2. The following bets are available:
     
    • Dealer
    • Player
    • Tie Plus
    • Combo
  3. After bets are made, the Dealer and Player will be dealt one card each.
  4. In the event the two cards are equal in rank, three cards will be burned and then the Dealer and Player will each get another card. This is known as "going to war."
  5. For purposes of the Dealer and Player bets, aces are always high.
  6. If, after the first two cards are dealt, the Dealer has the higher card in rank, then the Dealer bet shall be paid 1 to 1 and the Player bet shall lose.
  7. If, after the first two cards are dealt, the Player has the higher card in rank, then the Player bet shall be paid 1 to 1 and the Dealer bet shall lose.
  8. If the Player and Dealer cards are equal in rank, any player who bet on either the Player or Dealer bet may surrender and lose half his bet or go to War.
  9. If the player chooses to go to War, then he must add to his Player or Dealer wager and amount equal to his original bet.
  10. If, after the additional two cards are dealt in a War, the Player has the higher card in rank, then the Player bet shall be paid 1 to 2 and the Dealer bet shall lose.
  11. If, after the additional two cards are dealt in a War, the Dealer has the higher card in rank, then the Dealer bet shall be paid 1 to 2 on the total amount bet and the Player bet shall lose.
  12. If the Player and Dealer cards are equal in rank after a War, both the Player and Dealer bets shall win and be paid 1 to 2 based on the total amount bet.
  13. The Tie Plus and Combo bets shall be paid based on the initial two cards dealt and the pay table below. For purposes of the Combo bet, aces can be high or low.
 

Tie Plus Pay Table

Event Pays
Suited tie 20 to 1
Unsuited tie 10 to 1
 

Combo Pay Table

Event Pays
Straight flush 4 to 1
Straight 2 to 1
Flush 1 to 1
 

Analysis

 

The following table shows the probability and contribution to the return for all possible outcomes of the Player and Dealer bets, based on six decks. The lower right cell shows a house edge of 2.88%.

Player/Dealer Analysis — Six Decks

Event Pays Combinations Probability Return
Win after a war 1 92,279,772 0.039713 0.039713
Win 1 1,075,913,280 0.463023 0.463023
Loss -1 1,075,913,280 0.463023 -0.463023
Loss after a war -2 79,567,488 0.034242 -0.068484
Total   2,323,673,820 1.000000 -0.028771
 

The following table shows the probability and contribution to the return for all possible outcomes of the Tie Plus bet, based on six decks. The lower right cell shows a house edge of 2.57%.

Tie Plus Analysis — Six Decks

Event Pays Combinations Probability Return
Suited tie 20 780 0.016077 0.321543
Unsuited tie 10 2,808 0.057878 0.578778
Loss -1 44,928 0.926045 -0.926045
Total   48,516 1.000000 -0.025723
 

The following table shows the probability and contribution to the return for all possible outcomes of the Combo bet, based on six decks. The lower right cell shows a house edge of 4.18%.

Combo Analysis — Six Decks

Event Pays Combinations Probability Return
Straight flush 4 1,872 0.038585 0.154341
Straight 2 5,616 0.115756 0.231511
Flush 1 10,140 0.209003 0.209003
Loss -1 30,888 0.636656 -0.636656
Total   48,516 1.000000 -0.041801
 

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