Double Draw Poker Strategy
Rules of Play In Double Draw Poker, after the player makes an initial “Ante” bet and a mandatory “Bonus” bet, the cards are shuffled. If players want to continue, they must make an additional “Draw Up to 3 Cards” bet equal in size to the “Ante”. Five Play Draw Poker is a bit different, in that it offers players their choice of nine different popular games all in one package – and each in a five-hand format. All of the Classics If you’re not familiar with this game, IGT’s Five Play Draw Poker is the perfect way to get started (as is their Triple Play Draw Poker.
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On this page we're going to discuss what I believe is the best possible strategy for playing Double Bonus video poker. By using this strategy you will be able to achieve a return of over 100%, which means that you can actually beat the house edge. Our strategy was created for full pay Double Bonus which uses the pay table listed below:
Hand: | Payout: |
Royal Flush | 800 |
Straight Flush | 50 |
Four Aces | 160 |
Four Two's-Four's | 80 |
Four Five's-King's | 50 |
Full House | 10 |
Flush | 7 |
Straight | 5 |
Three of a Kind | 3 |
Two Pair | 1 |
Jacks or Better | 1 |
Please note that to achieve the 100%+ payout percentage, you need to be betting five coins per hand. By betting five coins you'll receive a bonus for all royal flushes, which drastically improves the payout percentage in the long run. Learn about other Double Bonus pay tables.
Beginner Double Bonus Strategy
If you're a new Double Bonus player, you're probably better off to stick with the beginner chart for now. It's much more simple and will help you make decisions quickly as you learn the game. This chart isn't as accurate as the full chart below, so if you're looking for the best possible strategy use the full expert chart we have below.
Here is how you should use the chart below:
- Find your trouble hand on the chart.
- Follow the chart's recommendation.
Example: Imagine you have Kc-Qc-Jc-Tc-4c. In this case you have a pat flush, but you also have an open ended straight flush draw including a draw to a royal flush. By looking at the chart below, you'll see that a royal flush draw is better than a pat flush, so make sure to discard the 4c and go for the straight flush/royal.
- Royal Flush Draw vs. Pat Straight Flush » Keep the Straight Flush
- Royal Flush Draw vs. Pat Flush » Keep the Royal Flush Draw
- Three of a Kind Aces vs. Full House » Keep the Three Aces
- Pat Straight vs. Four to a Straight Flush » Keep the Straight
- Two Pair vs. a Pair of Aces » Keep the Two Pair
- Four to a Flush vs. Four to a Straight » Keep the Four to a Flush
- Pair (Jacks through Aces) vs. Open Four to Straight » Keep the Pair
- Open Four to Straight vs. Pair (Twos through Tens) » Keep the Straight Draw
- Ace/King/Queen/Jack vs. Discard Everything » Keep the Ace/King/Queen/Jack
Expert Double Bonus Strategy
Here is how you should use the chart below:
- Start at the top of the chart and work down.
- When you see a hand that matches up with yours, follow that strategy.
Example: Imagine you have Qs-Js-Ts-3s-Jh. In this case, you'd match up with a few rows on the table below. Your hand would qualify for a high pair of Jacks, a Q-J-T suited with one penalty (the other Jack is a penalty card), and four to a flush. However, on the table you'll notice that Q-J-T suited with one penalty is higher than a four flush or a pair, so you should keep the Q-J-T suited and ditch the four flush and pair.
Double Bonus Full Strategy Chart
Here are the ranks for every possible Double Bonus hand. Remember, find the highest match on the list for your hand and hold those cards. The middle column shows the expected return for the specific hand. In the example column, h = Hearts, s = Spades, c = Clubs, d = Diamonds, T = Ten, s = Suited.
Hand | Expected Return | Example |
Pat Royal Flush | 800.0000 | Th-Jh-Qh-Kh-Ah |
Four of a Kind Aces | 160.0000 | Ac-Ah-Ad-As-3c |
Four of a Kind Twos, Threes, Fours | 80.0000 | 2h-2s-2c-2d-7c |
Four of a Kind Fives - Kings | 50.0000 | 7c-7d-7h-7s-Jc |
Pat Straight Flush | 50.0000 | 6h-7h-8h-9h-Th |
Royal Flush Draw | 18.6383 | Th-Jh-Qh-Kh-4h |
Three of a Kind Aces | 10.1147 | Ac-Ad-Ah-Js-8c |
Pat Full House | 10.0000 | Ac-Ad-As-Js-Jc |
Pat Flush | 7.0000 | Ac-Jc-6c-5c-4c |
Three of a Kind Twos, Threes, Fours | 6.7105 | 3c-3h-3d-8s-9s |
Three of a Kind Fives through Kings | 5.4339 | 8c-8s-8d-9h-3d |
Pat Straight | 5.0000 | 4c-5s-6h-7h-8h |
Open Straight Flush Draw | 3.7383 | 4c-5c-6c-7c-Th |
Inside Straight Flush Draw | 2.4894 | Qs-Js-9s-8s-4c |
Two Pair | 1.7660 | 3c-3s-4d-4h-Ac |
Pair of Aces | 1.7635 | Ac-Ad-Js-8c-5h |
Q-J-T suited (w/ no penalty*) | 1.5846 | Qh-Jh-Th-4d-3d |
K-Q-J suited (w/ no penalty*) | 1.5754 | Kh-Qh-Jh-4c-3c |
Q-J-T suited (w/ one Straight penalty*) | 1.5634 | Qh-Jh-Th-Kc-2c |
Q-J-T suited (w/ one High Pair penalty*) | 1.5430 | Qh-Jh-Th-Jc-4s |
K-Q-J suited (w/ one Straight penalty*) | 1.5384 | Kh-Qh-Jh-Tc-4c |
K-Q-J suited (w/ one High Pair penalty*) | 1.5365 | Kh-Qh-Jh-Js-3s |
Four to a Flush, 3 High Cards (w/ no penalty*) | 1.5319 | Ac-Jc-Tc-3h-2h |
Q-J-T suited (w/ one Flush penalty*) | 1.5264 | Qh-Jh-Th-4h-3c |
Four to a Flush, 3 High Cards (w/ 1 HP penalty*) | 1.5106 | Ac-Jc-Tc-3c-Th |
Q-J-T suited (w/ any two penalties*) | 1.4894 | Qs-Js-Ts-Kh-Jc |
K-Q-J suited (w/ any two penalties*) | 1.4783 | Kh-Qh-Jh-Jc-Ts |
K-Q-T suited, K-J-T suited (w/ no penalty*) | 1.4755 | Kh-Qh-Th-4c-3c |
Four to a Flush, 2 High Cards (w/ no penalty*) | 1.4681 | Kh-Jh-7h-5h-2c |
A-K-Qs, A-K-Js, A-Q-Js (w/ no penalty*) | 1.4662 | Ac-Kc-Jc-2h-3h |
Pair of Jacks, Queens, Kings | 1.4582 | Jc-Js-2h-4c-8s |
K-Q-Ts, K-J-Ts (w/ one Straight penalty*) | 1.4542 | Kh-Qh-Th-Jc-2c |
A-K-Qs, A-K-Js, A-Q-Js (w/ one Straight penalty*) | 1.4450 | Ac-Kc-Qc-Jh-2h |
Four to a Flush, One High Card | 1.4042 | Ac-8c-7c-3c-6h |
K-Q-T suited, K-J-T suited (w/ two penalties*) | 1.3959 | Kh-Qh-Th-Jc-Qc |
A-K-Ts, A-Q-Ts, A-J-Ts(w/ no penalty*) | 1.3663 | Ac-Kc-Tc-2h-3h |
Four to a flush, No High Cards | 1.3404 | 9c-7c-4c-2c-8s |
A-K-Ts, A-Q-Ts, A-J-Ts (w/ one St. penalty*) | 1.3395 | Ac-Kc-Tc-Jh-2s |
Open Four to a Straight | 0.9149 | Jc-Ts-9h-8c-2h |
Pair of Twos, Threes, Fours | 0.8266 | 2c-2h-7s-8c-Jh |
J-T-9 suited | 0.7826 | Jc-Tc-9c-4h-3h |
Q-J-9 suited | 0.7761 | Qc-Jc-9c-4h-3h |
Pair of Fives through Tens | 0.7434 | 5c-5h-Js-8d-2h |
Three to a Straight Flush, Open, No High Cards | 0.6855 | 4c-5c-6c-Th-9h |
A-K-Q-J | 0.6789 | Ac-Ks-Jh-Ts-3s |
Q-J-8 suited | 0.6644 | Qc-Jc-8c-6h-4h |
Q-T-9 suited, J-T-8 suited, J-9-8 suited | 0.6577 | Jc-9c-8c-4h-3h |
K-Q-9 suited, K-J-9 suited | 0.6512 | Kc-Qc-9c-4h-2h |
Four to a Straight, Inside, Three High Cards | 0.6170 | Qc-Js-Ts-8d-2h |
Q-J suited (w/ no or one penalty*) | 0.5871 | Qc-Jc-4h-8s-2h |
K-Q suited, K-J suited (w/ no penalty*) | 0.5845 | Kc-Qc-8s-4h-2s |
Q-J suited (w/ two penalties*) | 0.5772 | Qs-Js-Th-6c-4s |
3 to a St. Flush, 1 Gap, 0 Hi Cards (no penalty*) | 0.5726 | 4h-5h-7h-9c-Tc |
A-Ks, A-Qs, A-Js (w/ no penalty*) | 0.5692 | Ac-Kc-6s-9d-2h |
3 to a St. Flush, 2 Gaps, 1 Hi Card (no penalty*) | 0.5671 | 4h-6h-8h-Jc-2s |
K-Qs, K-Js (w/ one Flush penalty*) | 0.5650 | Ks-Qs-8s-6h-2h |
Q-J suited (w/ three penalties*) | 0.5650 | Qs-Js-Tc-8c-2s |
K-Qs, K-Js (w/ one or two Straight penalties*) | 0.5642 | Ks-Qs-Jc-9c-2h |
Three to a Flush, Two High Cards | 0.5606 | As-Js-3s-5c-9c |
A-Ks, A-Qs, A-Js (w/ one Straight penalty*) | 0.5596 | As-Ks-Tc-2h-6h |
K-Qs, K-Js (w/ 1 St. penalty + 1 Flush penalty*) | 0.5582 | Ks-Qs-Tc-6s-4d |
3 to a St. Flush, 1 Gap, 0 Hi Cards (St. penalty*) | 0.5578 | 5h-6h-8h-9c-2s |
Four to a Straight, Inside, Two High Cards | 0.5532 | Qs-Jd-9c-8h-2s |
K-Qs, K-Js (w/ three penalties*) | 0.5515 | Ks-Qs-Th-Td-2s |
3 to a St. Flush, 2 Gaps, 1 High Card (St. penalty*) | 0.5486 | 8h-Th-Qh-9c-2s |
K-Q-J | 0.5199 | Kh-Qs-Jc-4c-2h |
J-T suited (w/ no penalty*) | 0.5011 | Jc-Tc-6s-4d-2d |
Q-J-T | 0.4940 | Qc-Jd-Th-7s-2d |
Four to a Straight, Inside, One High Card | 0.4894 | Jc-Ts-9d-7h-2s |
J-T suited (w/ one Flush penalty*) | 0.4817 | Js-Ts-6s-4c-2h |
J-T suited (w/ one or two Straight penalties*) | 0.4747 | Js-Ts-8c-7c-2h |
Q-J | 0.4745 | Qc-Jh-7d-5c-2h |
9-7-5 suited, 9-6-5 suited | 0.4699 | 9c-7c-5c-2h-3h |
Q-T suited (w/ no penalty*) | 0.4683 | Qc-Tc-7s-5h-2s |
3 to a St. Flush, 2 Gaps, 0 Hi Cards (no penalty*) | 0.4672 | 5h-7h-9h-2d-3d |
J-Ts (w/ 1 Straight penalty + 1 Flush penalty*) | 0.4652 | Js-Ts-8c-2s-5h |
K-Q, K-J (w/ no penalty*) | 0.4623 | Ks-Qc-8h-5h-3d |
Three to a Flush, One High Card | 0.4598 | Js-8s-4s-3c-2c |
J-T suited (w/ three penalties*) | 0.4588 | Js-Ts-7c-Ad-2s |
K-Q, K-J (w/ one Straight penalty*) | 0.4574 | Kc-Qs-9d-5h-2c |
Ace (w/ no flush penalty*) | 0.4552 | Ad-Tc-7s-4s-2h |
Ace (w/ one flush penalty + no 2, 3, 4 or 5) | 0.4499 | Ah-9h-Jc-7s-6d |
A-K, A-Q, A-J | 0.4493 | Ac-Kh-9d-7c-4s |
K-T suited | 0.4487 | Kc-Tc-7s-5d-2d |
Ace (w/ one flush penalty*) | 0.4487 | Ah-Th-7s-5c-2d |
Jack (w/ no flush penalty*) | 0.4451 | Jd-9s-7c-4h-2h |
3 to a St. Flush, 2 Gaps, 0 Hi Cards (St. penalty*) | 0.4431 | 4h-6h-8h-7c-Td |
Queen | 0.4341 | Qc-9d-7d-4s-2s |
King | 0.4310 | Kh-Ts-8d-5d-2c |
Jack (w/ one Flush penalty*) | 0.4306 | Jd-8d-5c-3s-2s |
Four to a Straight, Inside, no High Cards | 0.4255 | 5d-6c-7s-9h-2d |
Three to a Flush, no High Cards | 0.3608 | Th-7h-5h-3s-2s |
Everything Else » Draw Five New Cards | 0.3231 | 10s-8c-6d-4s-2h |
*Penalty cards are any cards which you plan to discard that hurt your chances of completing a draw. For example, if you have 7c-9c-Jc-8s-5h and plan to keep the 7c-9c-Jc, the 8s that you're discarding actually hurts you because there is one less card in the deck that completes your straight. However, it still makes sense to discard the 8s because you have better expected return going for the straight flush than to draw to the inside straight.
Straight (St.) penalty cards mean cards that interfere w/ a hand's possibility of making a straight. Flush penalty cards mean cards that interfere w/ a hand's possibility of making a flush. High Pair (HP) penalty cards mean cards that interfere w/ a hand's possibility of making a high pair (a pair Jacks or better).
Administrator
I noticed the strategy has 'joker+Ace' ranked above '4 to a Flush having one joker and one Ace'. If this is accurate then one would never hold '4 to a Flush having one joker and one Ace' for the first draw. Im also confused as to why TJQA is better than 7Ts but 36s is better than A235. I realize many of these hands run very close and change with straight/flush penalties. So given 36s,A25 what is the best hold? How about 47s,68Q or KJs,AT3? The expected value of first draw hands would be a great addition as well if you have them.
ps. I just found this forum and am very thankful i did. Great work JB
The strategy is somewhat inaccurate because it is based solely on the average return of each play in hands where that play was the best play; it doesn't take into account hands where it exists but was not the best play, because that would have been an enormous undertaking.
So for example, in all of the hands where Joker+Ace was the best play, the EV is 2.01265; in all of the hands where 4 to a Flush including a Joker+Ace was the best play, the EV is 1.98682 or lower. Since I sorted the strategy list by EV, this puts Joker+Ace higher than 4 to a Flush w/Joker+Ace, but in reality, Joker+Ace is the better play only if you don't also have 4 to a Flush.
With 36 suited vs. unsuited A235 in the same hand, such as 3♣ 6♣ 2♦ 5♥
Double Draw Poker Table Game Strategy
A♠, holding A235 is the better play.Administrator
I noticed the strategy has 'joker+Ace' ranked above '4 to a Flush having one joker and one Ace'. If this is accurate then one would never hold '4 to a Flush having one joker and one Ace' for the first draw. Im also confused as to why TJQA is better than 7Ts but 36s is better than A235. I realize many of these hands run very close and change with straight/flush penalties. So given 36s,A25 what is the best hold? How about 47s,68Q or KJs,AT3? The expected value of first draw hands would be a great addition as well if you have them.
ps. I just found this forum and am very thankful i did. Great work JB
Welcome to the forum, BobbyMac! My understanding (having played this game, not as a mathematician) of the joker+A hold is (and the rest, though I think this is the best example), you have to take into account the paytables/return on the holds, not just the likelihood of filling them. There are 4 aces +2 jokers, and 5 aces pays extremely well compared to a flush, even though it's harder to fill. So the strategy is, in the long run, you will make more money holding for the 5 aces (and lesser hands that can result from holding that way, because you're drawing 3, then 1 if you need it), than holding for a flush, (assuming you don't have a straight flush draw, where you're drawing 1, then 1 if you need it), because even if you make the flush more often, it's the only hand you're drawing to, and it's one of the lower-paying ones.
EDIT: answered the same time as JB, but letting it stand anyway. Thanks, JB!
Anyways, here are some hand ranks for everyone 2ND DRAW...
Values are based on a 4 unit bet
8.1) WW+A2s
7.1) WW+8Ts
6.0) FLUSH
5.6) W+678s
5.2) WW+KTs
5.0) STRAIGHT
3.7) WW+59s
3.6) WW+55
3.3) W+AKQs
-.32) W+A56s
-.88) W+567
-1.6) W+679
-1.7) W+479s
-2.8) PAIR
-2.9) STR4i
Administrator
The strategy is somewhat inaccurate because it is based solely on the average return of each play in hands where that play was the best play; it doesn't take into account hands where it exists but was not the best play, because that would have been an enormous undertaking.
So for example, in all of the hands where Joker+Ace was the best play, the EV is 2.01265; in all of the hands where 4 to a Flush including a Joker+Ace was the best play, the EV is 1.98682 or lower. Since I sorted the strategy list by EV, this puts Joker+Ace higher than 4 to a Flush w/Joker+Ace, but in reality, Joker+Ace is the better play only if you don't also have 4 to a Flush.
Darn it, JB, now you've got me confused. If Joker+Ace has an EV of 2.01265, and the best 4 to a flush including those cards is 1.98682, what is the element that counteracts this and makes 4TAF the better play?
Administrator
Darn it, JB, now you've got me confused. If Joker+Ace has an EV of 2.01265, and the best 4 to a flush including those cards is 1.98682, what is the element that counteracts this and makes 4TAF the better play?
I will try to explain it better. When my analyzer outputted the strategy results, it listed the best play and its EV for each possible starting hand. From that list, I averaged the EV's of each type of 'best play' made.
The end result is that the average EV of Joker+Ace is 2.01265, because it only considers hands where Joker+Ace was the best play. In other words, the output did not list Joker+Ace as the best play in hands where 4 to a Flush was the best play, therefore the value of Joker+Ace in 4-to-a-Flush hands are excluded from the Joker+Ace average.
In generic terms, the EV for 'Play A' does not take into consideration the value of 'Play A' in hands where 'Play B' is the better play. Ideally it should, in terms of developing the strategy, but for Double Draw Poker this would have been a huge undertaking. So the strategy just shows the plays made sorted by their EV. The result is that there are some anomalies such as the Joker+Ace vs. 4-to-a-Flush scenario.
The same situation occurs when developing video poker strategies, but I spent a great deal of time making the VP strategy generator on WizardOfOdds.com take this into consideration, so that the resulting strategies are as accurate as possible.
Administrator
...
And the 2nd draw strategy is pretty much...do you have a chance to win? Call.
It seems to me that this isn't quite right. For example, one can show that you should fold an inside straight draw if you've already discarded one of your 'outs' from the deck. Here's a way this could happen in the game: You are dealt 4c, 5h, 6h, 7h, 9d. On the first draw, optimal play is to keep the 5,6,7 suited and toss the 4 and 9. Then you draw 2d, 3d. For the second draw, the only possible play is to hold either 2,3, 5, 6 or 3, 5, 6, 7 and try for the inside straight. But since you've tossed one of your fours, then you have 5 ways of completing the straight (three fours + two joker), with 47 cards remaining in the deck. The EV of the second draw is thus
5 * (5/47) + (-4) * (42/47) = -3.04. But the EV of folding is -3, and so this hand should be folded.
The situation above is probably rare, but there might be others where folding is right. Does anyone know the percentage of 2nd-draw situations in which there's a positive probability of winning that instead should be folded, for a single player at the table playing all decisions optimally?
Double Draw Poker Free
Administrator
If it helps, the Bally rep at the trade show I first played this said a little more than 97% of hands should stay in for the first draw, and a little more than 92% should stay in for the 2nd.
Double Draw Poker Strategy
For each of the 58 hands, the error if you didn't fold was less than 0.04 units and was typically around 0.02 units. Since these are so rare, a strategy of always playing a hand in which you have a chance of winning will be very nearly optimal for the 2nd draw.