Bonus Deuces Wild
Bonus Deuces Wild keeps the foundation of Deuces Wild: a 52-card deck, all four 2s wild, and three of a kind as the lowest paying hand. What changes is the top of the pay table, where five of a kind and four deuces are split into separate prizes, and the lines lower down that are reset to fund them.
Five of a kind is paid by rank. On the highest-returning schedule, 10/4/4/3, five aces pay 80 per credit, five 3s, 4s or 5s pay 40, and five of any rank from 6 to king pay 20. Four deuces are split as well: with an ace as the fifth card they pay 400, with any other card 200. The natural royal stays at 800 per credit and the wild royal at 25.
Those prizes are paid for lower down the table. A straight pays 1, the same as three of a kind, and ordinary four of a kind pays 4, the same as a full house. Schedules are named by the four lines that vary: 10/4/4/3 means straight flush 10, four of a kind 4, full house 4, flush 3. Our pay-table guide covers the notation for every family.
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The 10/4/4/3 pay table
10/4/4/3, five credits bet, perfect play: 99.86%. Pays are per credit at the maximum bet. The straight supplies only 4.12% of the return here, against 11.13% in Full Pay Deuces Wild.
Bonus Deuces Wild schedules
Every schedule here pays the natural royal 800 per credit at the maximum bet, four deuces with an ace 400, four deuces 200, five aces 80, five 3s to 5s 40, five 6s through kings 20, and 1 for a straight or three of a kind. Our own two games pay less on some lines; they are set out in the next section.
What our two Bonus Deuces games pay
In short: Both games in our library carry the four-deuces-and-ace line, and both fall short of 10/4/4/3 (99.86%).
The Platipus version returns 98.65%: it pays 18 rather than 20 for five 6s through kings and 8 rather than 10 for the straight flush, and changes nothing else. It pays one flat multiplier table, with the natural royal at 800 times the bet at every stake, so a smaller bet costs no return.
The Habanero version is offered in 1, 5, 10, 50 and 100-hand forms on one pay table. It trims three lines rather than two: the wild royal to 20, five 6s through kings to 16 and the straight flush to 7. At five credits it returns 96.85%. Its natural royal pays 500 per credit at one to four credits, which lowers the return to 96.18% below the maximum bet.
Hold list, and where it parts from Deuces Wild
Our list for 10/4/4/3 is sorted by deuces dealt, as for Deuces Wild, whose deal odds it shares; the order of the lines is its own. Played as written, it returns 99.66% against 99.86% for perfect play, a cost of 0.200 points.
Hands without a deuce make up 65.88% of all deals, and they follow this order:
- Natural royal flush
- Four of a kind
- Four to a royal flush
- Dealt straight flush
- Dealt full house
- Three of a kind
- Dealt flush
- Four to a straight flush, open-ended
- Four to a straight flush, inside
- Three to a royal flush
- Four to a flush
- Two pair (keep both)
- Dealt straight
- One pair
- Three to a straight flush, connected, 6 or higher
- Three to a straight flush with a gap
- Three to a straight flush, connected, below 6
- Two to a royal flush with a ten
- Two to a royal flush, jack to king
- Discard all five
A hand holding a single deuce, 29.95% of deals, follows this order:
- Dealt five of a kind
- Dealt wild royal flush
- Dealt straight flush
- Four to a royal flush, counting the deuce
- Dealt flush
- Four to a straight flush, open-ended, counting the deuce
- Four of a kind, counting the deuce
- Dealt full house
- Three of a kind, counting the deuce
- Four to a straight flush, inside, counting the deuce
- Three to a royal flush, counting the deuce
- Dealt straight
- Three to a straight flush, connected, 6 or higher, counting the deuce
- The deuce alone
When the deal holds two deuces, as 3.99% of deals do, the order is:
- Dealt wild royal flush
- Dealt five of a kind
- Dealt straight flush
- Four of a kind, counting the deuces
- Four to a royal flush, counting the deuces
- The two deuces alone
A deal with three deuces, 0.17% of the total, is played this way:
- Dealt wild royal flush
- Dealt five of a kind
- The three deuces alone
Three deuces with an ace are the exception: keep the ace as well, as the worked hand below shows. The hand comes up on only 0.025% of deals, but throwing the ace away there costs 0.09 points of return.
With four deuces, keep all four, and if the fifth card is not an ace, discard it and draw one card for the chance of an ace (worked below).
The biggest remaining gap to perfect play is with two deuces: where the list holds the deuces alone, perfect play sometimes keeps one more card with them, making three to a royal counting the deuces. That happens on 0.65% of deals and is worth 0.10 points.
The key number: Playing this game with a plain Full Pay Deuces Wild strategy costs 1.84 points of return, more than any other strategy swap within the deuces family.
Hands the bonus lines change
Each figure is a hold's expected return per credit wagered, with perfect play on the draw.
Dealt 2♣ 2♦ 2♥ 2♠ 9♣ on Habanero's table, standing pat is worth 200. Keeping the four deuces and drawing one is worth 217.02: the four-deuce payout is kept whatever arrives, and 4 of the 47 unseen cards are aces that lift it to 400. Every schedule on this page pays the same 400 and 200, so the decision is the same on all of them.
Dealt 2♣ 2♦ A♠ A♥ 9♣ on 10/4/4/3, the hand is already four aces, paying 4. Keeping the four and drawing one is worth 10.47, because either of the two remaining aces or two remaining deuces makes five aces at 80. Keeping only the deuces is worth 3.03, and the deuces with one ace 2.82.
Dealt 2♣ 2♦ 2♥ A♠ 9♣ on 10/4/4/3, keeping the ace with the deuces is worth 19.45, against 15.70 for the deuces alone: the last deuce makes the 400 four-deuces-with-an-ace hand, and any of the three other aces makes five aces at 80. In plain Deuces Wild the ace is thrown away.
Dealt K♥ Q♥ J♥ 10♠ 9♣ with no deuce, keeping K♥ Q♥ J♥ is worth 1.36 per credit, against 1.00 for standing on the straight. A straight pays only the stake back here, so a royal draw is worth more; in Full Pay Deuces Wild, where the straight pays 2, the same hand stands pat.
Dealt K♠ K♦ 7♥ 7♣ 3♠, keeping both pairs is worth 0.68, against 0.55 for either pair alone. With the full house at 4, the one-card draw at a full house is worth more than three fresh cards to one pair, the opposite of Full Pay Deuces Wild, where the full house pays 3.
Dealt 2♣ K♥ Q♥ J♥ 9♠, which is already a straight, keeping the deuce with K♥ Q♥ J♥ is worth 3.62 per credit against 1.00 for standing pat. Plain Full Pay Deuces Wild breaks the straight too, but here the margin is wider, because the straight pays only 1.
Bonus Deuces Wild: Pros and Cons
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Advantages
Our best-paying wild-card game
The Platipus version returns 98.65% at any stake, more than any other wild-card game in our library: our Deuces Wild table returns 96.19% and our best Joker Poker 97.95%.
Disadvantages
No table reaches 100%
The best schedule, 10/4/4/3, returns 99.86%, 0.90 points below the 100.76% of Full Pay Deuces Wild, the best plain deuces table.
More to get wrong than plain Deuces Wild
The simplified list for 10/4/4/3 falls short of perfect play by more than twice as much as the Full Pay Deuces Wild list does.
Impact Analysis
Bonus Deuces Wild questions
The deck holds only four 2s, so five deuces cannot happen. The top of the five-of-a-kind ladder is five aces, and four deuces are paid on their own lines instead.
A dealt four deuces with an ace comes once in 649,740 deals. Only four of the 2,598,960 possible deals hold all four deuces and an ace, one for each ace in the deck. After the draw it is far less rare, because four deuces dealt with another card are kept and drawn to.
Yes, noticeably. The standard deviation per hand, a measure of how far single-hand results spread and not of the return, is 5.72 bets, a bet being the full stake on one hand, on 10/4/4/3 against 5.08 on Full Pay Deuces Wild. The pay tables show why: money moves out of the straight and into the rarer five-of-a-kind and four-deuce prizes.
On 10/4/4/3 with perfect play, 44.16% of hands end in a paying hand after the draw and 55.84% lose. Most of the wins are three of a kind, which only returns the stake.