WOO logo

On this page

Xtra Card

Introduction

Xtra Card is a variant of video poker developed by Aristocrat. It can be accessed as an additional feature in single-play and triple-play video poker formats. By wagering ten credits per game, players gain opportunities for extra hands and multipliers. This game is available on multi-game devices labeled as \"Winners World Multi-Game\" and \"Storming Jackpots\" at the top of the screen. Additionally, it can be played on bartop gaming machines.

Rules

  1. This game builds on the concept of single-play for three-play video poker, which I presume the audience is already familiar with.
  2. When a player bets between 1 to 5 credits for each game, it functions as traditional video poker.
  3. By wagering ten credits per round, players can activate the feature. In this case, winnings will be calculated based on a baseline of five credits per game, while the extra amount bet acts as a non-refundable fee for a chance to access the feature.
  4. With a wager of 10 credits per round, there’s a chance to activate the feature depending on the cards a player holds, with exact probabilities that may vary between different games. Here’s an illustration using 8-6 Bonus Poker Deluxe:
    • 0 cards held = 30.24%
    • 1 card held = 25.03%
    • 2 cards held = 19.43%
    • 3 cards held = 13.42%
    • 4 cards held = 6.95%
    • 5 cards held = 0.00%
  5. Should the feature activate, players will receive one or two additional hands. The likelihood of receiving one additional hand is 25%, while the chance of getting two is 75%.
  6. When the feature is activated, both the original and the additional hands possess a 40% probability of having a multiplier attached.
  7. Available multipliers range from 2x to 10x, with the average multiplier being approximately 4.8.

Example

In the illustration provided, a player made a single bet. After securing a pair of queens, they were awarded two additional hands along with a 5x multiplier. One of these three hands improved to three of a kind, while the remaining two stayed as a high pair. The total payout was calculated as 5×(5 + 5 + 15) = 75.

Analysis

Upon activation of the feature, the average chance for one extra hand stands at 25% whereas for two it is 75%. Consequently, the mean total number of hands (including the original hand) is computed as 1 + (0.25*2 + 0.75*3) = 2.75.

Factoring in the 40% chance for an average multiplier of 4.8, the overall average multiplier (including 1x for no multiplier) becomes 0.6*1 + 0.4*4.8 = 2.52.

This leads to an anticipated value of the feature, once activated, as 2.75 * 4.8 = 6.93 times the expected return for that particular game and pay table.

The six tables below represent the combinations, probabilities, and returns for each hand based on the number of cards held in 8-6 Bonus Poker Deluxe.

The table summarizing outcomes for holding 0 cards shows a feature probability of 30.24%. This establishes the expected multiplier at 1 + 0.3024*(6.93-1) = 2.793232.

0 Cards Held

Event Pays Combinations Probability Average
Multiplier
Return
Royal flush 800 1,588,620 0.000000 2.793232 0.000089
Straight flush 50 8,693,460 0.000000 2.793232 0.000030
Four of a kind 80 160,950,720 0.000008 2.793232 0.000902
Full house 8 993,777,120 0.000050 2.793232 0.000557
Flush 6 1,403,617,560 0.000070 2.793232 0.000590
Straight 4 2,675,274,000 0.000134 2.793232 0.000750
Three of a kind 3 14,739,155,760 0.000739 2.793232 0.003098
Two pair 1 33,594,719,760 0.001685 2.793232 0.002354
Jacks or better 1 113,077,238,400 0.005673 2.793232 0.007923
Loss 0 551,044,363,920 0.027645 2.793232 0.000000
Total   717,699,379,320 0.036005 0.000000 0.016293

The table for holding a single card indicates a feature probability of 25.03%, leading to an expected multiplier of 1 + 0.2503*(6.93-1) = 2.484279.

1 Card Held

Event Pays Combinations Probability Average
Multiplier
Return
Royal flush 800 36,450,756 0.000002 2.484279 0.001817
Straight flush 50 61,994,820 0.000003 2.484279 0.000193
Four of a kind 80 2,008,777,680 0.000101 2.484279 0.010014
Full house 8 11,125,537,920 0.000558 2.484279 0.005546
Flush 6 15,029,740,464 0.000754 2.484279 0.005619
Straight 4 21,595,736,232 0.001083 2.484279 0.005383
Three of a kind 3 158,461,654,680 0.007950 2.484279 0.029624
Two pair 1 342,805,637,160 0.017198 2.484279 0.021362
Jacks or better 1 1,713,972,730,248 0.085986 2.484279 0.106806
Loss 0 4,625,202,334,140 0.232035 2.484279 0.000000
Total   6,890,300,594,100 0.345669 0.000000 0.186365

For two held cards, the feature probability stands at 19.43%, resulting in an expected multiplier of 1 + 0.1943*(6.93-1) = 2.152199.

2 Cards Held

Event Pays Combinations Probability Average
Multiplier
Return
Royal flush 800 84,004,800 0.000004 2.152199 0.003628
Straight flush 50 51,907,020 0.000003 2.152199 0.000140
Four of a kind 80 24,735,071,460 0.001241 2.152199 0.106826
Full house 8 91,717,184,196 0.004601 2.152199 0.039611
Flush 6 12,134,379,840 0.000609 2.152199 0.003930
Straight 4 7,221,069,636 0.000362 2.152199 0.001559
Three of a kind 3 1,035,705,361,944 0.051959 2.152199 0.167738
Two pair 1 1,475,954,482,464 0.074045 2.152199 0.079680
Jacks or better 1 2,625,262,032,888 0.131703 2.152199 0.141725
Loss 0 4,941,603,627,972 0.247908 2.152199 0.000000
Total   10,214,469,122,220 0.512434 0.000000 0.544838

The feature probability for three held cards is 13.42%, which sets the expected multiplier at 1 + 0.1342*(6.93-1) = 1.795806.

3 Cards Held

Event Pays Combinations Probability Average
Multiplier
Return
Royal flush 800 201,185,820 0.000010 1.795806 0.007250
Straight flush 50 309,313,620 0.000016 1.795806 0.000697
Four of a kind 80 19,143,558,720 0.000960 1.795806 0.068987
Full house 8 27,493,408,800 0.001379 1.795806 0.009908
Flush 6 11,842,378,020 0.000594 1.795806 0.003201
Straight 4 7,098,632,640 0.000356 1.795806 0.001279
Three of a kind 3 405,790,777,260 0.020358 1.795806 0.054837
Two pair 1 7,662,344,580 0.000384 1.795806 0.000345
Jacks or better 1 64,469,029,680 0.003234 1.795806 0.002904
Loss 0 217,221,939,000 0.010897 1.795806 0.000000
Total   761,232,568,140 0.038189 0.000000 0.149407

When holding four cards, the feature probability drops to 6.95%, leading to an expected multiplier of 1 + 0.0695*(6.93-1) = 1.412135.

4 Cards Held

Event Pays Combinations Probability Average
Multiplier
Return
Royal flush 800 152,741,160 0.000008 1.412135 0.004328
Straight flush 50 1,095,297,720 0.000055 1.412135 0.001940
Four of a kind 80 4,785,889,680 0.000240 1.412135 0.013562
Full house 8 37,221,845,760 0.001867 1.412135 0.010548
Flush 6 108,753,011,400 0.005456 1.412135 0.023113
Straight 4 40,860,218,520 0.002050 1.412135 0.005789
Three of a kind 3 - 0.000000 1.412135 0.000000
Two pair 1 400,134,841,920 0.020074 1.412135 0.014173
Jacks or better 1 54,886,948,380 0.002754 1.412135 0.001944
Loss 0 587,144,851,920 0.029456 1.412135 0.000000
Total   1,235,035,646,460 0.061959 0.000000 0.075398

With five cards held, there are no opportunities to trigger the feature, so the average multiplier will consistently be 1.0.

5 Cards Held

Event Pays Combinations Probability Average
Multiplier
Return
Royal flush 800 30,678,780 0.000002 1.000000 0.000616
Straight flush 50 276,109,020 0.000014 1.000000 0.000346
Four of a kind 80 - 0.000000 1.000000 0.000000
Full house 8 - 0.000000 1.000000 0.000000
Flush 6 37,980,329,640 0.001905 1.000000 0.005716
Straight 4 76,206,089,520 0.003823 1.000000 0.007646
Three of a kind 3 - 0.000000 1.000000 0.000000
Two pair 1 - 0.000000 1.000000 0.000000
Jacks or better 1 - 0.000000 1.000000 0.000000
Loss 0 - 0.000000 1.000000 0.000000
Total   114,493,206,960 0.005744 0.000000 0.014324

The subsequent table consolidates the probability and average contribution to returns based on the number of cards held, indicating a return of 98.66% in the lower right cell.

5 Cards Held

Card Held Probability Average Win Return
0 0.036005 0.016293 0.452522 0.016293
1 0.345669 0.186365 0.539143 0.186365
2 0.512434 0.544838 1.063236 0.544838
3 0.038189 0.149407 3.912291 0.149407
4 0.061959 0.075398 1.216908 0.075398
5 0.005744 0.014324 2.493837 0.014324
Total 1.000000 0.986626 0.000000 0.986626

Another table encapsulates probability and return contributions based on the winning hand, with the \"Average Win\" showcasing totals after accounting for additional hands and multipliers, again yielding 98.66% in the lower right.

5 Cards Held

Event Average Win Combinations Probability Return
Royal flush 1394.962220 506,649,936 0.000025 0.017728
Straight flush 73.983000 1,803,315,660 0.000090 0.003347
Four of a kind 157.077052 50,834,248,260 0.002550 0.200291
Full house 15.650672 168,551,753,796 0.008456 0.066170
Flush 8.983328 187,143,456,924 0.009389 0.042170
Straight 5.738711 155,657,020,548 0.007809 0.022407
Three of a kind 6.303223 1,614,696,949,644 0.081005 0.255297
Two pair 2.079867 2,260,152,025,884 0.113386 0.117914
Jacks or better 2.278644 4,571,667,979,596 0.229349 0.261302
Loss 0.000000 10,922,217,116,952 0.547940 0.000000
Total   19,933,230,517,200 1.000000 0.986626

The conventional return for 8-6 Bonus Poker Deluxe is measured at 98.49%, which signifies the additional gain from the feature amounts to 0.17%.

Other Known Games

Here’s a compilation of games and pay tables that caught my eye at the $0.25 stake level in the Rampart casino located 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

Conversational threads surrounding Xtra Card can be found in my discussion forum at Wizard of Vegas .