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Last Updated: June 19, 2019

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3 Card Fury

Introduction

3 Card Fury began a field trial at the Green Valley Ranch in Las Vegas in June 2019. The game follows the same scoring as Three Card Poker and a similar betting structure as Ultimate Texas Hold 'Em, with two required bets and an opportunity to raise or fold.

The full title of the game is Advantage Play 3 Card Fury.

Advantage Play 3 Card Fury Video Tutorial

Rules

  1. The game can be played by up to six (6) players against a dealer.
  2. A single 52-card deck is used.
  3. Poker hands are ranked as follows, from highest to lowest:
    • Straight flush
    • Three of a kind
    • Straight
    • Flush
    • Pair
    • Three singletons
  4. To begin play, each player is required to place an Ante wager and an equal in size 3 Card Monster wager.
  5. Next, the dealer will deal three cards to the dealer followed by four cards to each player, all face down.
  6. The players then have a decision to make, to raise or fold. In order to raise, the player will place a Play wager equal in size to the Ante wager.
  7. If the player raises, then the dealer will expose both the player’s and dealer’s hands and determine the best three (3) out of four (4) card hand for each player.
  8. Following is how each bet is adjudicated:
    • Ante — Higher hand wins. Wins pay even money. Ties push.
    • Play — The dealer must have a king high or better to qualify. If he doesn't qualify, then the Play bet will push. If he does qualify, then the higher hand wins. Wins pay even money. Ties push.
    • 3 Card Monster — This bet always plays. It pays as follows, according to the player's hand and how it compares to the dealer's hand:
      • Mini Royal (suited AKQ) — Pays 250 to 1 on a tie and 25 to 1 on a win.
      • Straight flush — Pays 250 to 1 on a loss or tie and 10 to 1 on a win.
      • Three of a kind — Pays 250 to 1 on a loss and 5 to 1 on a win.
      • Straight — Pays 1 to 1 on a win, push on a tie, and loses on a loss
      • Flush — Push on a win or tie, and loses on a loss
      • All other — Loss
    • If the player folds, then he immediately loses both the Ante and 3 Card Monster wagers.
    • There is also an optional side bet titled the 4 Card Royal Family Bonus, which pays based on the poker-value of the player's hand alone. The pay table is shown below.

Following are two known pay tables for the 3 Card Monster. Wins are on a "to one" basis.

3 Card Monster Pay Table 1

Hand Win Pays Tie Pays Loss Pays
Mini Royal* 25 250 n/a
Straight flush 10 250 250
Three of a kind 5 n/a 250
Straight 1 0 Loss
Flush 0 0 Loss
All other Loss Loss Loss

3 Card Monster Pay Table 2

Hand Win Pays Tie Pays Loss Pays
Royal flush in spades 50 500 n/a
Royal flush 30 500 n/a
Straight flush 9 50 50
Three of a kind 7 n/a 20
Straight 1 0 Loss
Flush 0 0 Loss
All other Loss Loss Loss

*: A Mini Royal is a suited ace/king/queen.

Following are two known pay tables for the 4 Card Royal Family Bonus side bet. Wins are on a "to one" basis.

4 Card Royal Family Bonus Pay Table

Hand Pay Table 1 Pay Table 2
Royal family (suited AKQJ) 500 250
Four of a kind 200 100
Four card straight flush 100 70
Mini royal (AKQ suited) 15 40
Three card straight flush 15 20
Three of a kind 9 10
Four card straight 5 3
Four card flush 5 3
Three card straight 2 2
Three card flush 1 1
All other Loss Loss

Example

3 card fury example

In the hand above, the player initially bet $100 on the Ante and 3 Card Monster, plus $25 on the 4 Card Royal Family Bonus. The player was dealt 7-7-7-5. The best three-card hand was a three of a kind, which obviously merits making the Play bet. The dealer had a jack high, which doesn't qualify. As a result, here is what happened to each wager:

  • Ante — Player beats Dealer so Ante pays 1-1
  • Play — Dealer does not qualify so Play bet is a push.
  • 3 Card Monster — Player beats Dealer so 3 Card Monster pays 5-1
  • 4 Card Royal Family Bonus — Among the player's four cards, the best hand is a three of a kind, which pays 9 to 1.

The total win was $100 × 1 + $100 × 0 + $100 × 5 + $25 × 9 = $825.

See the external links below for a link to play the demo game pictured above.

Rack Card

If my explanation of the rules wasn't clear, here is the rack card. Click on either image for a larger version.

rack card front   rack card back

Strategy

The player should raise with queen high or better.

Analysis

The following are screenshots from the math report by BMM, showing the probability and contribution to the return of all possible events under pay table 1 of the 3 Card Monster.

BMM page 1   BMM page 2

The table above shows the ratio of the expected loss to the Ante bet, how some might define the house edge, is 3.10%. However, the average number of units bet by the end of the hand is 2.88. What I feel is an appropriate measure of the value of the game is the ratio of the expected loss to the total amount bet, known as the Element of Risk, which is 1.08%.

Under pay table 2, the house edge relative to the Ante bet is 2.25% and relative to all money bet is 0.78%.

Following is the analysis of two known 4 Card Royal Family Bonus pay tables. The lower right cell shows a house edge of 5.08% on Pay Table 1.

4 Card Royal Family Bonus Pay Table 1 Analysis

Hand Pays Combinations Probability Return
Royal family 500 4 0.000015 0.007388
Four of a kind 200 13 0.000048 0.009604
4-card straight flush 100 40 0.000148 0.014775
3-card straight flush 15 2,264 0.008363 0.125441
Three of a kind 9 2,496 0.009220 0.082977
4-card straight 5 2,508 0.009264 0.046320
4-card flush 5 2,424 0.008954 0.044769
3-card straight 2 26,544 0.098048 0.196096
3-card flush 1 38,952 0.143880 0.143880
All other -1 195,480 0.722061 -0.722061
Total   270,725 1.000000 -0.050812

The following analysis of Pay Table 2 shows a house edge of 3.50%.

4 Card Royal Family Bonus Pay Table 2 Analysis

Hand Pays Combinations Probability Return
Royal family 250 4 0.000015 0.003694
Four of a kind 100 13 0.000048 0.004802
4-card straight flush 70 40 0.000148 0.010343
Mini royal (AKQ suited) 40 192 0.000709 0.028368
3-card straight flush 20 2,072 0.007654 0.153070
Three of a kind 10 2,496 0.009220 0.092197
4-card straight 3 2,508 0.009264 0.027792
4-card flush 3 2,424 0.008954 0.026861
3-card straight 2 26,544 0.098048 0.196096
3-card flush 1 38,952 0.143880 0.143880
All other -1 195,480 0.722061 -0.722061
Total   270,725 1.000000 -0.034958

Methodology

This is a rare situation where I didn't do my own analysis. Rather, it is based on the math report by BMM, kindly provided to me by the game inventor and owner.

Play for Free

Game Demo by Money$uit Industries.

External Links

Discussion about 3 Card Fury in my forum at Wizard of Vegas.

Acknowledgements

I would like to thank Money$uit Industries for providing me with the math report for 3 Card Fury, with permission to use for this page.


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