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Last Updated: October 16, 2015

DJ Wild

Introduction





DJ Wild is a poker-based game in which deuces and a joker are wild. After making an Ante and Blind bet the player has a simple raise or fold decision to make. Then his hand is compared to the dealer's — the higher hand wins.

I first saw the game at the 2014 Global Gaming Expo. Later, I saw it at the New York New York casino in Las Vegas on April 23, 2015. I've since heard of other placements. Here is all I know about as of April 27, 2015:

  • Las Vegas: New York New York
  • Michigan: Greektown casino
  • Ohio: Cleveland Horseshoe
  • California: Unknown
  • United Kingdom: Unknown


Rules



  1. A 53-card deck is used, including a single joker.
  2. Hands are ranked as follows, from highest to lowest:
    • Five wilds
    • Royal flush
    • Five of a kind
    • Straight flush
    • Four of a kind
    • Full house
    • Flush
    • Straight
    • Three of a kind
    • Two pair
    • Pair
    • Ace high or less

  3. Play starts with the player making equal bets on the Ante and Blind. The player may also make an optional Trips side bet.
  4. The dealer shall deal the player and himself five cards each. Dealer cards are dealt face down.
  5. After examining his cards, the player may either fold or make a Play bet. The Play bet must be equal to two times the Ante.
  6. The dealer shall reveal his cards and compare his hand to the player's, the higher poker value wins.
  7. If the dealer has the higher hand, then the player shall lose the Ante, Blind, and Play bets.
  8. If the two hands tie, then the Ante, Blind, and Play bets shall push.
  9. If the player has the higher hand, then the Ante and Play bets shall pay even money. The Blind bet will pay according to the pay table below. All wins shown are on a "to one" basis.
  10. The Trips bet shall pay according to the poker value of the player's bet only. More information is available on the Trips bet at the bottom of this page.

Blind Bet Pay Table

Player Hand Pays
Five Wilds 1000
Royal Flush 50
Five of a Kind 10
Straight Flush 9
Four of a Kind 4
Full House 3
Flush 2
Straight 1
Three of a Kind or Less Push


Analysis



The following table shows the number of combinations, probability, and contribution to the return of all possible events.

DJ Wild — Analysis

Event Pays Combinations Probability Return
Player wins with five wilds 1003 1,712,304 0.00000035 0.00034952
Player wins with royal flush 53 1,719,017,200 0.00034984 0.01854133
Player wins with five of a kind 13 2,396,963,100 0.00048781 0.00634147
Player wins with straight flush 12 6,243,236,040 0.00127056 0.01524670
Player wins with four of a kind 7 88,035,952,768 0.01791616 0.12541313
Player wins with full house 6 25,233,599,448 0.00513528 0.03081168
Player wins with flush 5 31,727,826,728 0.00645692 0.03228459
Player wins with straight 4 138,585,030,624 0.02820338 0.11281354
Player wins with three of a kind or less 3 1,944,630,013,152 0.39575088 1.18725263
Tie 0 560,641,504 0.00011410 0.00000000
Player folds -2 1,507,375,457,280 0.30676538 -0.61353075
Dealer wins -4 1,167,263,654,092 0.23754936 -0.95019744
Total 4,913,773,104,240 1.00000000 -0.03467361


The lower right cell shows an expected loss of 3.47% of a unit. This means if the player bets one unit each on the Ante and Blind, then he can expect to lose 3.47% of one of them. For example, if the player starts with bets of $10 on both the Ante and Blind, then he can expect to lose $10 × 3.47% = 35¢ on average per hand.

The house edge is 3.47% relative to just the Ante bet, or 1.73% relative to both initial required bets, the Ante and Blind.

However, I think an appropriate measure of how good of a value the game is is the Element of Risk. This is the ratio of the expected loss to the total amount bet. On average, the player will raise 69.32% of the time, for an average bet of 2 + 69.32×2 = 3.39 units. The Element of Risk is thus 3.47%/3.39 = 1.02%.

If you're wondering where the house advantage lays, it is in the Blind bet. That wins 5.98% of the time only and carries an expected player loss of 38.2%.

Strategy



The strategy to DJ Wild is conveniently quite simple, as follows:

Raise with a pair of fours or better, except with two fours and a three singleton. Otherwise fold.

The three singleton exception makes sense because a pair of fours will beat a pair of threes, and the chances of the dealer getting a pair of threes is significantly less with one of them in the player's hand.

Player collusion would likely be powerful in this game. If you and the other players don't have any wild cards, then I would be more inclined to fold with a marginal hand, because of the increased probability the dealer will get one or more wild cards. Likewise, with a lot of wilds out, the player should be more inclined to raise. I'll leave it to Grosjean, Jacobson, and How to figure out the details on that.

Trips





As mentioned in the rules, Trips is an optional side bet that pays based only on the value of the player's hand. The player must have at least a three of a kind to win. Wins pay more if they are natural, as opposed to using a wild card. If a hand has a deuce, but still counts it as a deuce (for example an A2345 straight), then it shall pay as a natural win.

There are four pay tables available. The following table shows the probability and return of all possible outcomes under the Trip pay table used at the New York New York.

Trips Bet — "90-30-6" New York New York Pay Table

Player Hand Wild/Natural Pays Combinations Probability Return
Royal flush Natural 1,000 4 0.000001 0.001394
Straight flush Natural 200 36 0.000013 0.002509
Four of a kind Natural 90 528 0.000184 0.016559
Full house Natural 40 3,168 0.001104 0.044158
Flush Natural 30 5,108 0.001780 0.053400
Straight Natural 20 10,200 0.003554 0.071088
Three of a kind Natural 6 42,240 0.014719 0.088316
Five wilds Wild 2,000 1 0.000000 0.000697
Royal flush Wild 100 1,000 0.000348 0.034847
Five of a kind Wild 100 1,400 0.000488 0.048786
Straight flush Wild 30 3,612 0.001259 0.037760
Four of a kind Wild 6 51,160 0.017828 0.106966
Full house Wild 5 11,880 0.004140 0.020699
Flush Wild 4 13,848 0.004826 0.019302
Straight Wild 3 73,800 0.025717 0.077151
Three of a kind Wild 1 415,800 0.144894 0.144894
Loser Either -1 2,235,900 0.779145 -0.779145
Total 2,869,685 1.000000 -0.010617


The following table shows all three pay tables. The column headings show what each pays for a natural four of a kind, flush, and three of a kind. The bottom row shows the house advantage.

Trips Bet — All Pay Tables

Player Hand Wild/Natural 90-25-7 90-30-6 90-25-6 60-25-6
Royal flush Natural 1,000 1,000 1,000 1,000
Straight flush Natural 200 200 200 200
Four of a kind Natural 90 90 90 60
Full house Natural 40 40 30 30
Flush Natural 25 30 25 25
Straight Natural 20 20 20 20
Three of a kind Natural 7 6 6 6
Five wilds Wild 2,000 2,000 2,000 2,000
Royal flush Wild 100 100 100 90
Five of a kind Wild 100 100 100 70
Straight flush Wild 30 30 30 25
Four of a kind Wild 6 6 6 6
Full house Wild 5 5 5 5
Flush Wild 4 4 4 4
Straight Wild 3 3 3 3
Three of a kind Wild 1 1 1 1
Loser Either -1 -1 -1 -1
House edge 0.48% 1.06% 3.06% 6.05%


Acknowledgement



I would like to thank Shufflemaster, the game owner, for providing me their math report, compiled by Elliot Frome. The analysis above is my own and agrees closely with the simulation in Elliot's report. Elliot deserves proper credit for being the first to think of the strategy indicated above.


Written by: Michael Shackleford

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