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Lyza Hayn
Aug 13, 2019 Blackjack Appendix 3C lists exceptions to the single deck, dealer hits on soft 17, basic strategy based on the exact composition of the player's hand. Boss Media Appendix 1 has a composition dependent basic strategy for single-deck, dealer stands on soft 17, blackjack.
Table Of Contents
We all know that Blackjack is one of the most popular table games out there. But have you tried out the single deck version?
If you want to play your way to success, you'll need a simple single deck Blackjack strategy that really works. So, what's this game all about?
- The holy grail of cards, single deck Blackjack games have the lowest house edge of all games
- Extremely low house edge gives players multiple advantages over the classic multi deck game
- Action-packed casino fun plus potential for winning big and improving your skills
Before you jump in, you'll need to learn key strategical points and differences between playing single deck Blackjack and standard multi-deck.
Single vs Multiple Deck Blackjack
Back in the good old days, single deck Blackjack was the standard style. It was played widely around the world, with blissful players taking advantage of the 0.15% house edge.
It became immensely popular with card counters, who swooped in with their own single deck Blackjack strategy to take a piece of the pie. The use of one deck makes card counting easy, but Casinos caught on quickly.
They began introducing Blackjack games with a double deck or more decks to raise their own edge and make it harder to count cards.
So, what are the differences between these types of Blackjack? Besides the number of decks, the payout is generally different as well—you'll find that many Casinos offer payouts of 6:5 in single-deck games, while multi-deck games generally pay 3:2.
Rules & Gameplay for Single Deck Play
The basic concept and objective remain the same in single deck Blackjack. You want to get to 21 points or as close to 21 as possible without busting.
You'll place your bet, then the dealer will deal the hands. You'll get two face-up cards, and the dealer will get one face-up and one face-down.
You'll study your cards and the dealer's upcard, then decide to hit, stand, split, or double down.
Remember, both land-based and online casinos usually have specific rules for single-deck Blackjack which differ from multi-deck. These include:
- Whether or not the dealer hits or stands on soft 17
- Whether or not players may double down after a split
- If and when players can surrender
It's common to have the dealer hit on a soft 17, to prohibit players from doubling down after a split, and to prohibit surrender because these rules increase the house edge.
However, these and other rules will vary depending on the online Casino site of your choice
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Tips & Single Deck Blackjack Strategy Guide
It's imperative you learn how to make a decision as a player and follow the basics of single deck Blackjack strategy as you play.
Remember is that every single card which is played in the single-deck game has an appreciable impact on the distribution of the remaining cards in the deck, more so than multi-deck games. Always use this to your advantage and pay attention to the cards being played.
It's also a good idea to consult some Blackjack basic strategy charts to figure out the optimal play for your hand.
Blackjack cheat sheets display possible hands in conjunction with possible dealer upcards, telling whether you should split, double down, stand, or hit for that specific combination of cards.
Optimal Plays
Assuming that the dealer hits on soft 17, doubling down after a split is not allowed, and surrender is not allowed, you can follow these guidelines:
Hard Hands
Hard Hands
- 5-7: Always hit
- 8: Double if dealer shows 5 or 6, otherwise hit
- 9: Double if dealer shows 2-6, otherwise hit
- 10: Double if dealer shows 2-9, otherwise hit
- 11: Always double
- 12: Stand if dealer shows 4-6, otherwise hit
- 13: Stand if dealer shows 2-6, otherwise hit
- 14: Stand if dealer shows 2-6, otherwise hit
- 15: Stand if dealer shows 2-6, hit on 7-ace
- 16: Stand if dealer shows 2-6, hit on 7-ace
- 17-21: Always stand
Soft Hands
- A-2: Double if dealer shows 4-6, otherwise hit
- A-3: Double if dealer shows 4-6, otherwise hit
- A-4: Double if dealer shows 4-6, otherwise hit
- A-5: Double if dealer shows 4-6, otherwise hit
- A-6: Double if dealer shows 2-6, otherwise hit
- A-7: Double if dealer shows 3-6, stand on 2,7, & 8, hit on 9, 10 & ace
- A-8: Double if dealer shows 6, otherwise stand
- A-9: Always stand
- A-10: Always stand
Pairs:
- 2-2: Split if dealer shows 3-7, otherwise hit
- 3-3: Split if dealer shows 4-7, otherwise hit
- 4-4: Split if dealer shows 4-6, otherwise hit
- 5-5: Double if dealer shows 2-9, hit on 10 & ace
- 6-6: Split if dealer shows 2-7, otherwise hit
- 7-7: Split if dealer shows 2-7, stand on 10, hit on 8, 9 & ace
- 8-8: Always split
- 9-9: Split if dealer shows 2-6 and 8-9, otherwise stand
- 10-10: Always stand
- Ace-Ace: Always split
Keep in mind that this is not an optimal strategy for every game, because you won't just make different plays according to the dealer's upcard; single deck basic strategy play Blackjack is also dependent on the house rules.
House Rule Variations
If the dealer stands on soft 17, you know that he has no chance of improving this hand. Keep this in mind as you make your decisions, because it actually increases your odds of beating him with certain plays.
Double down rules will affect your bets, so pay close attention to them.
If you can double down after a split, you'll want to be a bit more aggressive with your splits than the guide displays—for example, you could split a pair of 3s if the dealer shows 2 or 3, not just 4 through 6.
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Likewise, if you can surrender, you'll want to do so strategically. For example, if you have a pair of sevens and the dealer shows 10, you know your odds aren't good, so surrendering would be the best option.
Tips for the Table
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When you're at the table, keep these tips for Blackjack basic strategy in mind:
- Use your knowledge of the cards which have been played to infer which cards may come up. Remember, this knowledge comes easier when you play with a single deck.
- Never take insurance or even money, because the house edge on insurance is 5.9% in single-deck Blackjack
- Use a responsible betting strategy, making wagers which fit with your bankroll and allow you to bet for longer. Remember, it's all about having fun.
Now that you know about single deck Blackjack strategy, it's time to try a hand at the tables with this action-packed game. You can have yourself a veritable single deck Blackjack bonanza when you register here for a free gaming account online.
It's fun, easy, and you never know—the cards could turn up in your favor.
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nbond89
Does anyone have a link, or would be kind enough to share a single deck Blackjack (Microgaming rules) players expected return chart at all?
Rules:
Single Deck
Dealer Stands on Soft 17
Dealer does not peek for BJ. All bets lost for dealer BJ
No double after split
Only split once
No surrender
Player may draw to split aces
What I am looking for is something like on the Wizard of Odds site under /games/blackjack/appendix/5/) however, the rules based in that chart do not reflect the specifics of the game I am looking for.
I play a lot of single-deck to those rules and would like to be able to asses how 'fair' my results are.
Many thanks in advance!
Rules:
Single Deck
Dealer Stands on Soft 17
Dealer does not peek for BJ. All bets lost for dealer BJ
No double after split
Only split once
No surrender
Player may draw to split aces
What I am looking for is something like on the Wizard of Odds site under /games/blackjack/appendix/5/) however, the rules based in that chart do not reflect the specifics of the game I am looking for.
I play a lot of single-deck to those rules and would like to be able to asses how 'fair' my results are.
Many thanks in advance!
Romes
Hi nbond, and welcome to the forums. The wizard has many utilities for a lot of games. One of which happens to be a blackjack house edge calculator. It can be found here: https://wizardofodds.com/games/blackjack/calculator/
With the rules you've given, assuming the game is 3:2 for blackjack, I'm showing a House Edge of about .10%. A really good game rule wise, but the penetration and the heat would be what I'd worry most about if you're looking to count at this game. Also, if it's online, lol. =)
Next, if you're looking for a specific card to card and hand breakdown of expected return very similar to Appendix 5, I'd imagine that would take someone a bit more work to produce. Also, while the percentages are in no way 'exact'.. 'most' of those percentages won't change that much from Appendix 5 (some will due to the DAS, etc, but not a mountain of a change all the same). Perhaps PM to the Wizard requesting said information, as I'm not sure how he programmed it and it may or may not be easy for him to change rules and provide an additional result with your rule set.
With the rules you've given, assuming the game is 3:2 for blackjack, I'm showing a House Edge of about .10%. A really good game rule wise, but the penetration and the heat would be what I'd worry most about if you're looking to count at this game. Also, if it's online, lol. =)
Next, if you're looking for a specific card to card and hand breakdown of expected return very similar to Appendix 5, I'd imagine that would take someone a bit more work to produce. Also, while the percentages are in no way 'exact'.. 'most' of those percentages won't change that much from Appendix 5 (some will due to the DAS, etc, but not a mountain of a change all the same). Perhaps PM to the Wizard requesting said information, as I'm not sure how he programmed it and it may or may not be easy for him to change rules and provide an additional result with your rule set.
nbond89
Thank you for the quick reply Romes.
I have seen the edge calculator, I thought about using an overall percentage to work out fairness of my results, but unfortunately due to fluctuations in staking, I do not believe I could make this work accurately, for example, playing £100,000 worth of single deck, may show a profit (thus above expectation) but this could be down to pure luck in staking alterations between times of playing. If that makes sense!
What I want to do is assess each time I play, and I can record each particular game through automation, and then establish whether or not after each session, how fair were the results. Obviously the aim would be to combine with multiple sessions to garner the greater picture, regardless of P&L.
E.G, I was dealt XX. Dealer has X. Therefore upon expectation of perfect strategy play from this point, I should win Y%.
The link I tried to post (but I am not allowed) is the wizardofodds URL, followed by /games/blackjack/appendix/5
How do i message the Wizard himself?
TIA
I have seen the edge calculator, I thought about using an overall percentage to work out fairness of my results, but unfortunately due to fluctuations in staking, I do not believe I could make this work accurately, for example, playing £100,000 worth of single deck, may show a profit (thus above expectation) but this could be down to pure luck in staking alterations between times of playing. If that makes sense!
What I want to do is assess each time I play, and I can record each particular game through automation, and then establish whether or not after each session, how fair were the results. Obviously the aim would be to combine with multiple sessions to garner the greater picture, regardless of P&L.
E.G, I was dealt XX. Dealer has X. Therefore upon expectation of perfect strategy play from this point, I should win Y%.
The link I tried to post (but I am not allowed) is the wizardofodds URL, followed by /games/blackjack/appendix/5
How do i message the Wizard himself?
TIA
Romes
Ah, so an online single deck game that you want to check the fairness of. Either way you're going to have to play a lot of hands to get statistically relevent data, so you could use the overall house edge in your EV calculations.. Compare to 2SD and 3SD after X hands (something like 50k) and you should have real good picture of what's going on. If it's a $10 min bet,
OriginalSD = 1.15*10 = 11.5
EV(50k hands) = (10*50,000)*(-.001) = -$500
SD(50k hands) = Sqrt(50,000) * 11.5 = $2571.48.. 2SD = $5,142.97.. 3SD = $7,714.44
So you could still be up ~$7200 after 50k hands due to natural variance. In order to prove you're down (since it's such a low HE game) you're going to have to play a lot more hands.
EV(200k hands) = (10*200,000)*(-.001) = -$2,000
SD(200k hands) = Sqrt(200,000) * 11.5 = $5,142.96.. 2SD = $10,285.91.. 3SD = $15,428.88
While it's true you would get your answers quicker via exact hand comparisons and expected returns, you'd still have to blast through hundreds of thousands of hands either way.. This isn't something I'd recommend checking on, as you surely could put that amount of hours in to something more productive in either gambling/AP or even with your life. I'd just put out a thread with your individual results to the named site and say while you don't have proof you feel the game is not the return they show. Then move on with your life to the next thing.
You can PM anyone by clicking their name in a thread and clicking 'New Message' on their profile.
OriginalSD = 1.15*10 = 11.5
EV(50k hands) = (10*50,000)*(-.001) = -$500
SD(50k hands) = Sqrt(50,000) * 11.5 = $2571.48.. 2SD = $5,142.97.. 3SD = $7,714.44
So you could still be up ~$7200 after 50k hands due to natural variance. In order to prove you're down (since it's such a low HE game) you're going to have to play a lot more hands.
EV(200k hands) = (10*200,000)*(-.001) = -$2,000
SD(200k hands) = Sqrt(200,000) * 11.5 = $5,142.96.. 2SD = $10,285.91.. 3SD = $15,428.88
While it's true you would get your answers quicker via exact hand comparisons and expected returns, you'd still have to blast through hundreds of thousands of hands either way.. This isn't something I'd recommend checking on, as you surely could put that amount of hours in to something more productive in either gambling/AP or even with your life. I'd just put out a thread with your individual results to the named site and say while you don't have proof you feel the game is not the return they show. Then move on with your life to the next thing.
You can PM anyone by clicking their name in a thread and clicking 'New Message' on their profile.
nbond89
Thank you Romes once more.
Yes, it is more about assessing the fairness of the results over a long period of time. Playing 100s of thousands of hands is not a problem in terms of time or productivity for me, nor is expediting the automation of recording each hand and then therefore recording the data. I just need the expected return per hand, ideally.
I am interested to hear your take on using the SD, i suppose as a basic approach this could work. Although, as mentioned I would like more accuracy, because stakes can vary from anywhere around the £40quid to the £200 mark. Again, a significant range. Would you say this would affect the results significantly the way you calculate it above?
Thanks
Yes, it is more about assessing the fairness of the results over a long period of time. Playing 100s of thousands of hands is not a problem in terms of time or productivity for me, nor is expediting the automation of recording each hand and then therefore recording the data. I just need the expected return per hand, ideally.
I am interested to hear your take on using the SD, i suppose as a basic approach this could work. Although, as mentioned I would like more accuracy, because stakes can vary from anywhere around the £40quid to the £200 mark. Again, a significant range. Would you say this would affect the results significantly the way you calculate it above?
Thanks
Romes
Definitely would effect the outcomes. Essentially before I was assuming a flat average bet. If you're ramping your bet you'd need to come up with an 'average' bet. If you're counting then your bet at the specific True Counts will come with frequencies. Thus you can find your average bet per bet at True Counts. If you're not counting, you'll just have to estimate your average bet best you can.. but a change in average bet will change OriginalSD, which will change all of your EV and all of your SD's. Yes, using the SD approach is a bit basic, and if you wanted a further level of detail I'd recommend crunching the numbers with an application or simulation. Curious though, why would you bet more at any given point on a game you feel is not fair? ..especially if you're not counting? Are you depth charging? All the same though, if you think the game is not fair the best way to show is to flat bet to keep consistency in your numbers and pay a massive amount of hands and then decode the statistics.
I'll still say again, I don't think this is worth the negative EV to find out. Hell ,with an average flat bet I showed above you could be within 3SD and still be down $20k.. Thus you could lose $20k and not have proven anything. There's a lot more you can do with your time and money!
I'll still say again, I don't think this is worth the negative EV to find out. Hell ,with an average flat bet I showed above you could be within 3SD and still be down $20k.. Thus you could lose $20k and not have proven anything. There's a lot more you can do with your time and money!
tyler498
This reminds me of this article, I recommend you take a read just to get an example.
https://wizardofodds.com/online-gambling/casino-bar/
Romes is totally right, and you can't really prove anything based on just your 'results' unless you play billions of hands. You might show a huge loss and it can be explained by variance, it's not worth it. But from the study I assume you can gauge whether a game is fair or not without playing that much, by looking at specific occurrences. It is beyond my statistical expertise and I believe it would take some effort.
If you want to do that, all the power to you!
https://wizardofodds.com/online-gambling/casino-bar/
Romes is totally right, and you can't really prove anything based on just your 'results' unless you play billions of hands. You might show a huge loss and it can be explained by variance, it's not worth it. But from the study I assume you can gauge whether a game is fair or not without playing that much, by looking at specific occurrences. It is beyond my statistical expertise and I believe it would take some effort.
If you want to do that, all the power to you!
jopke
I think it would be easier to record each card dealt and in which order. Then you could do some fairly simple analysis to see if you are getting a reasonably random sampling of cards or if certain hand compositions or hit cards are coming up more often than they should. This would give you results even if you change your stakes or even play games with different rules, therefore a different house edge.
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nbond89
Thank you all again for your replies.
I suppose recording individually and taking 'snap' samples could work over a long time to see how we get on (looking at the methods of the Wizard on that link r.e the Casino Bar Blackjack,
I think the blackjack hand calculator on the site can give me what I need for now - if I set the parameters to the specific game it does tell me what the probabilities are per hand each time.
I appreciate all your guys time and ideas on this subject
I suppose recording individually and taking 'snap' samples could work over a long time to see how we get on (looking at the methods of the Wizard on that link r.e the Casino Bar Blackjack,
I think the blackjack hand calculator on the site can give me what I need for now - if I set the parameters to the specific game it does tell me what the probabilities are per hand each time.
I appreciate all your guys time and ideas on this subject
nbond89
Online Single Deck Blackjack
Utilising the calculator on the Wizard site for my game, I am looking at how the probability of the following is created (if anyone can tell me)
In a hand where a split is the optimum play, I have an expectation. Let us say I pull A,A vs Dealer 10 and I split them.
According to the calculator the Expectation is +0.104690.
However, what facets is this probability derived from? Especially, let us say in the situation, whereby I win one hand and lose on the other, meaning net position is no gain or no loss. If recording the outcomes this way in attempt to find fair results, would you write this as 1 win and 1 loss? Or as 1 push?
Similarly, if you won one hand and pushed another. Again, net position is a gain, but not by the expected amount (because you are expected to win both hands), so would you record as 1 win and 1 push? But the win is not a full win, if you get my jist.
Am i trying to establish how the Expectation of +0.104690 covers this possibilities..
Many thanks in advance
In a hand where a split is the optimum play, I have an expectation. Let us say I pull A,A vs Dealer 10 and I split them.
According to the calculator the Expectation is +0.104690.
However, what facets is this probability derived from? Especially, let us say in the situation, whereby I win one hand and lose on the other, meaning net position is no gain or no loss. If recording the outcomes this way in attempt to find fair results, would you write this as 1 win and 1 loss? Or as 1 push?
Similarly, if you won one hand and pushed another. Again, net position is a gain, but not by the expected amount (because you are expected to win both hands), so would you record as 1 win and 1 push? But the win is not a full win, if you get my jist.
Am i trying to establish how the Expectation of +0.104690 covers this possibilities..
Many thanks in advance