Xtra Card - Wizard of Odds (2024)

  • Appendices
    • Video Poker: Bankroll Size vs. Risk of Ruin
    • Simulation Results of n-Play Video Poker
    • Standard Deviation for Multihand Video Poker
    • Video Poker Appendix 3 Answers
    • Deuces Wild Appendix 1
    • Full-Pay Deuces Wild Appendix 5
    • Full-Pay Deuces Wild Appendix 6
    • Deuces Wild Appendix 2
    • Deuces Wild Appendix 3
  • Strategies
    • Jacks or Better
      • Simple Strategy (99.46%)
      • Intermediate Strategy (99.52%)
      • Optimal Strategy (99.54%)
    • Deuces Wild
      • NSUD Intermediate Strategy
      • Full-Pay Simple Strategy (100.71%)
      • Full-Pay Optimal Strategy (100.76%)
    • 8/5 Bonus Poker
    • 10/7 Double Bonus
    • 9/6 Double Double Bonus
    • Effect of Strategy Mismatches in Video Poker
    • Video Poker Strategy Maker
    • Frequently Asked Questions - Video Poker Strategy Calculator
    • Video Poker Strategy Maker Sample
    • 8/5 Super Aces
    • Quick Quads
      • 9/6 Jacks or Better
      • 8/5 Bonus Poker
      • 9/7/5 Double Bonus
      • 9/6 Double Double Bonus
      • 8/5 Triple Bonus
    • Ultimate X
      • Jacks or Better
      • Bonus Poker
      • Bonus Poker Deluxe
      • Double Bonus
      • Double Double Bonus
      • Joker Poker
  • Miscellaneous
    • Video Poker Quiz
    • 100% Rebate on Video Poker Losses
    • My Methodology for Video Poker Analysis
    • San Diego Video Poker Survey
    • Multi-Strike Poker 16X
    • Video Poker Summary Tables
    • Bonus Expected Values in Video Poker
    • American Poker Gold
    • Joker Poker (German Rules))
    • Royal Deal
    • Dream Card Controversy
    • Ultimate X Poker Bonus Streak -- Example
    • Video Poker Speed Records
    • Taxable Return from Video Poker
    • Pros and Cons of Using Double up Option in Playing Video Poker Online
    • Louisiana Double
    • Tap House Poker
    • Video Poker Analyzer
    • Video Poker Hand Analyzer
  • Home
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  • Xtra Card

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Introduction

Xtra Card is a video poker variant by Aristocrat. It can be played as an added feature to single-play and triple-play video poker. If the player bets ten credits per play, then he will have a chance at getting extra hands and a multiplier. The game can be found on multi-game machines that say "Winner's World Multi-Game" and "Storming Jackpots" above the main screen.

Rules

  1. The game is based on single-play for three-play video poker, which I assume the reader is familiar with.
  2. If the player bets 1 to 5 credits per play, then the game will play as conventional video poker.
  3. If the player bets ten credits per play, then he will have a chance at invoking the feature. With a ten-credit bet per play, wins will be based on five credits per play, with the additional wager being a non-refundable fee for a chance at the feature.
  4. If the player bets 10 credits per play, then each play will have a chance of triggering the feature, according to the number of cards held. These probabilities vary slightly from game to game. Following is an example for 8-6 Bonus Poker Deluxe:
    • 0 cards held = 30.24%
    • 1 cards held = 25.03%
    • 2 cards held = 19.43%
    • 3 cards held = 13.42%
    • 4 cards held = 6.95%
    • 5 cards held = 0.00%
  5. If the feature is triggered, that play will get one or two extra hands. The chances of one extra hand is 25% and two is 75%.
  6. If the feature is triggered, in addition to the extra hands, the original and extra hands shall have a 40% chance at a multiplier.
  7. The possible multipliers are 2x, 3x, 4x, 5x, 6x, 8x or 10x. The average multiplier is 4.8.

Example

Xtra Card - Wizard of Odds (1)

In the image above, the player bet on one play. After holding a pair of queens, the game awarded the player two extra hands and a multiplier of 5x. One of the three hands improved to a three of a kind and the other two remained as a high pair. The total win was 5×(5 + 5 + 15) = 75.

Analysis

If the feature is activated, the probability of one extra hand is 25% and two is 75%. That makes the average total hands, including the original hand 1 + (0.25*2 + 0.75*3) = 2.75.

With a 40% chance at an average multiplier of 4.8, the overall average multiplier (including 1x for no multiplier) is 0.6*1 + 0.4*4.8 = 2.52.

This makes the average value of the feature, if triggered, 2.75 * 4.8 = 6.93x the expected return for that game and pay table.

The following six tables show the number of combinations, probability and return for each hand by the number of cards held for 8-6 Bonus Poker Deluxe.

The following table is for 0 cards held. The probability of the feature is 30.24%. That makes the expected multiplier 1 + 0.3024*(6.93-1) = 2.793232.

0 Cards Held

EventPaysCombinationsProbabilityAverage
Multiplier
Return
Royal flush8001,588,6200.0000002.7932320.000089
Straight flush508,693,4600.0000002.7932320.000030
Four of a kind80160,950,7200.0000082.7932320.000902
Full house8993,777,1200.0000502.7932320.000557
Flush61,403,617,5600.0000702.7932320.000590
Straight42,675,274,0000.0001342.7932320.000750
Three of a kind314,739,155,7600.0007392.7932320.003098
Two pair133,594,719,7600.0016852.7932320.002354
Jacks or better1113,077,238,4000.0056732.7932320.007923
Loss0551,044,363,9200.0276452.7932320.000000
Total717,699,379,3200.0360050.0000000.016293

The following table is for 1 card held. The probability of the feature is 25.03%. That makes the expected multiplier 1 + 0.2503*(6.93-1) = 2.484279.

1 Card Held

EventPaysCombinationsProbabilityAverage
Multiplier
Return
Royal flush80036,450,7560.0000022.4842790.001817
Straight flush5061,994,8200.0000032.4842790.000193
Four of a kind802,008,777,6800.0001012.4842790.010014
Full house811,125,537,9200.0005582.4842790.005546
Flush615,029,740,4640.0007542.4842790.005619
Straight421,595,736,2320.0010832.4842790.005383
Three of a kind3158,461,654,6800.0079502.4842790.029624
Two pair1342,805,637,1600.0171982.4842790.021362
Jacks or better11,713,972,730,2480.0859862.4842790.106806
Loss04,625,202,334,1400.2320352.4842790.000000
Total6,890,300,594,1000.3456690.0000000.186365

The following table is for 2 cards held. The probability of the feature is 19.43%. That makes the expected multiplier 1 + 0.1943*(6.93-1) = 2.152199.

2 Cards Held

EventPaysCombinationsProbabilityAverage
Multiplier
Return
Royal flush80084,004,8000.0000042.1521990.003628
Straight flush5051,907,0200.0000032.1521990.000140
Four of a kind8024,735,071,4600.0012412.1521990.106826
Full house891,717,184,1960.0046012.1521990.039611
Flush612,134,379,8400.0006092.1521990.003930
Straight47,221,069,6360.0003622.1521990.001559
Three of a kind31,035,705,361,9440.0519592.1521990.167738
Two pair11,475,954,482,4640.0740452.1521990.079680
Jacks or better12,625,262,032,8880.1317032.1521990.141725
Loss04,941,603,627,9720.2479082.1521990.000000
Total10,214,469,122,2200.5124340.0000000.544838

The following table is for 3 cards held. The probability of the feature is 13.42%. That makes the expected multiplier 1 + 0.1342*(6.93-1) = 1.795806.

3 Cards Held

EventPaysCombinationsProbabilityAverage
Multiplier
Return
Royal flush800201,185,8200.0000101.7958060.007250
Straight flush50309,313,6200.0000161.7958060.000697
Four of a kind8019,143,558,7200.0009601.7958060.068987
Full house827,493,408,8000.0013791.7958060.009908
Flush611,842,378,0200.0005941.7958060.003201
Straight47,098,632,6400.0003561.7958060.001279
Three of a kind3405,790,777,2600.0203581.7958060.054837
Two pair17,662,344,5800.0003841.7958060.000345
Jacks or better164,469,029,6800.0032341.7958060.002904
Loss0217,221,939,0000.0108971.7958060.000000
Total761,232,568,1400.0381890.0000000.149407

The following table is for 4 cards held. The probability of the feature is 6.95%. That makes the expected multiplier 1 + 0.0695*(6.93-1) = 1.412135.

4 Cards Held

EventPaysCombinationsProbabilityAverage
Multiplier
Return
Royal flush800152,741,1600.0000081.4121350.004328
Straight flush501,095,297,7200.0000551.4121350.001940
Four of a kind804,785,889,6800.0002401.4121350.013562
Full house837,221,845,7600.0018671.4121350.010548
Flush6108,753,011,4000.0054561.4121350.023113
Straight440,860,218,5200.0020501.4121350.005789
Three of a kind3-0.0000001.4121350.000000
Two pair1400,134,841,9200.0200741.4121350.014173
Jacks or better154,886,948,3800.0027541.4121350.001944
Loss0587,144,851,9200.0294561.4121350.000000
Total1,235,035,646,4600.0619590.0000000.075398

There is no chance at the feature with five cards held. Therefore, the average multiplier is always 1.0.

5 Cards Held

EventPaysCombinationsProbabilityAverage
Multiplier
Return
Royal flush80030,678,7800.0000021.0000000.000616
Straight flush50276,109,0200.0000141.0000000.000346
Four of a kind80-0.0000001.0000000.000000
Full house8-0.0000001.0000000.000000
Flush637,980,329,6400.0019051.0000000.005716
Straight476,206,089,5200.0038231.0000000.007646
Three of a kind3-0.0000001.0000000.000000
Two pair1-0.0000001.0000000.000000
Jacks or better1-0.0000001.0000000.000000
Loss0-0.0000001.0000000.000000
Total114,493,206,9600.0057440.0000000.014324

The next table summarizes the probability and contribution to the return by number of cards held. The lower right cell shows a return of 98.66%.

5 Cards Held

Card HeldProbabilityAverage WinReturn
00.0360050.0162930.4525220.016293
10.3456690.1863650.5391430.186365
20.5124340.5448381.0632360.544838
30.0381890.1494073.9122910.149407
40.0619590.0753981.2169080.075398
50.0057440.0143242.4938370.014324
Total1.0000000.9866260.0000000.986626

The next table summarizes the probability and contribution to the return by the winning hand. The "Average Win" is after extra hands and multipliers. The lower right cell shows a return of 98.66%.

5 Cards Held

EventAverage WinCombinationsProbabilityReturn
Royal flush1394.962220506,649,9360.0000250.017728
Straight flush73.9830001,803,315,6600.0000900.003347
Four of a kind157.07705250,834,248,2600.0025500.200291
Full house15.650672168,551,753,7960.0084560.066170
Flush8.983328187,143,456,9240.0093890.042170
Straight5.738711155,657,020,5480.0078090.022407
Three of a kind6.3032231,614,696,949,6440.0810050.255297
Two pair2.0798672,260,152,025,8840.1133860.117914
Jacks or better2.2786444,571,667,979,5960.2293490.261302
Loss0.00000010,922,217,116,9520.5479400.000000
Total19,933,230,517,2001.0000000.986626

The return for conventional 8-6 Bonus Poker Deluxe is 98.49%. That makes the additional return with the feature equal to 0.17%.

Other Known Games

Here is a list of games and pay tables I saw at the $0.25 denomination at the Rampart casino in Las Vegas.

  • 7-5 Bonus Poker
  • 8-6 Jacks or Better
  • 8-6 Bonus Poker Deluxe
  • 8-6 Double Bonus
  • 9-6 Double Double Bonus
  • 25-15-8-4-4-3 Deuces Wild
  • 7-4-4-3 Deuces Wild Bonus

External Links

Discussion about Xtra Card in my forum at Wizard of Vegas.

Written by: Michael Shackleford

Xtra Card - Wizard of Odds (2024)

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