This is a discussion on Help calculating bb/100 within the online poker forums, in the General Poker section; I'm trying to start measuring how many big blinds I make/lose per 100 hands I play. To perform many of the calculations, Blackjack Risk Manager needs to be supplied with only two values: Win Rate per 100 hands and Standard Deviation (SD) per 100 hands, both expressed in units. Win Rate and SD values can be readily obtained from several sources, such as: values published in blackjack literature; values from simulations run. You're playing the same 50 hands per hour at $100 per hand. Again, you're putting $5,000 into action each hour ($100 x $50). 1% of $5,000 is $50. Now, instead of losing $25/hour, you're winning $50 per hour. Effects of Different Rules on the House Edge. The conditions under which you play blackjack affect the house edge. For example, the. Blackjack loses between 2 and quarter of a bet per 100 hands (the EV) depending on the the rules and skill level.
Blackjack Probability and Blackjack Odds
To fully understand the game of blackjack, you must understand and master blackjack odds. It's crucial to know how the casino gains its edge and how it helps them win. It's also important to understand blackjack odds such as the odds of hitting a 10 or the odds of being dealt a blackjack. You can read over these blackjack odds charts to help understand the logistics behind blackjack.
Casino and Dealer Advantage in Blackjack
In most casino games of blackjack, the house advantage (the dealer advantage) is ~ 8%. The house gets this advantage by the dealer being the last player to act. By acting last, all other players have already made their decisions and could quite possibly bust before the dealer has his turn.
By using correct blackjack basic strategy, you can turn the casino edge in blackjack from 7%-8% down to 0.5%. If you correctly use advanced card counting techniques, you can often change blackjack odds and give yourself the advantage over the casino. Manipulating the house odds to your favor is the reason most casinos don't allow card counters to play blackjack.
Probability of Busting on a Hit
It's very important to know the probability of your hand busting when you are holding any total in the game of blackjack. The following odds chart shows the blackjack odds of busting, depending on your current hand value:
Hand Value | % Bust If You Hit |
---|---|
21 | 100% |
20 | 92% |
19 | 85% |
18 | 77% |
17 | 69% |
16 | 62% |
15 | 58% |
14 | 56% |
13 | 39% |
12 | 31% |
11 or Less | 0% |
Two-Card Count Frequencies
This interesting blackjack odds chart is the two card count frequency chart. This chart shows the percentage chance that you will be dealt a hand in each given value range. The most important frequencey to note is the chance of being dealt a natural blackjack (natural 21 value. The odds of being dealt a natural blackjack are merely 4.8%. Following this chart you will see that the most common two card hand, at 38.7%, is a hand totaling 1-16, which is considered a decision hand.
Two Card Count | % Frequency |
---|---|
Natural 21 | 4.8% |
Hard Standing (17-20) | 30.0 % |
Decision Hands (1-16) | 38.7% |
No Bust | 26.5% |
TOTAL | 100.0% |
Dealer Final Hand Probabilities
This blackjack odds chart shows the dealer final hand probability. These are the percentages that the dealer will end up with a hand totaling each corresponding value (up to 16). Read over this chart to understand the odds that the dealer has to make his final hand.
Dealer Final Hand Value | % | Cumulative % Total |
---|---|---|
Natural 21 | 4.82% | 4.83% |
21 (3 or More Cards) | 7.36% | 12.19% |
20 | 17.58% | 29.77% |
19 | 13.48% | 43.25% |
18 | 13.81% | 57.06% |
17 | 14.58% | 71.64% |
16 | 28.36% | 100.00% |
Player Advantage vs. Dealer Up Card
The first two columns in this odds chart explain the dealer's chance of busting, depending on the up card that he is showing. You should note that the dealer has the highest chance of busting when he is showing a 5. The third column in this chart shows the player advantage of using basic strategy, compared to each up card the dealer is showing. You can see that the player has the highest advantage of 23.9%, when the dealer is showing a 5. When the dealer is showing any card that is 9 value or higher, the player is in the negative advantage range.
Dealer Up Card | Dealer Bust % | Player Advantage % with Basic Strategy |
---|---|---|
2 | 35.30% | 9.8% |
3 | 37.56% | 13.4% |
4 | 40.28% | 18.0% |
5 | 42.89% | 23.2% |
6 | 42.08% | 23.9% |
7 | 25.99% | 14.3% |
8 | 23.86% | 5.4% |
9 | 23.34% | -4.3% |
J,Q,K | 21.43% | -16.9% |
A | 11.65% | -16.0% |
Effects of Removing Cards from a Deck
When looking at the odds of removing certain cards from a 52-card deck, some cards have a much greater effect on blackjack odds. To create the strongest card counting system ever invented, you would have to incorporate all of these slight and subtle differences into the numbers to be a completely accurate system.
Removing every 5 from a deck cards would make the largest impact of improving your blackjack odds, as a player. On the other hand, removing every Ace from a deck of cards would make the largest impact on improving the odds for the casino.
Card | % Effect of Removal |
---|---|
2 | 0.40% |
3 | 0.43% |
4 | 0.52% |
5 | 0.67% |
6 | 0.45% |
7 | 0.30% |
8 | 0.01% |
9 | -0.15% |
10 | -0.51% |
A | -0.59% |
See also:
US Players and Credit Card, BitCoin Deposits Accepted!
I've been emailing back and forth with a reader who's in his mid-fifties and is about to kiss Corporate America goodbye. Because he's had some success as a card counter recently, the thought occurred to him that it might be fun to become a professional Blackjack player.
The first thing I told him is that it's not fun, but it's certainly satisfying and, under the right circumstances, can be very profitable. Making a living at the Blackjack tables is tough, unless you can put up with smokers, drunks, hustlers, big losses, rude players and casinos that want to toss you out because you're too good at what you do. If you can deal with all that, it's fun to play 'their' game – their cards, their rules, their dealer – and walk away with 'their' $$$.
The way to do it is simple and I'll prove it right here. The way to keep doing it is more of a problem and although I can give you some ideas on how to survive, it's really up to you to present yourself in such a way that the casinos will allow you to regularly make a profit at the game.
Proper game selection and an adequate bankroll are key items in the equation. These days, the best opportunities lie in double-deck (DD) games, in my not-so-humble opinion.
I know of at least 10 casinos in the U.S. that offer very beatable DD games – 'beatable' in the sense that they give good penetration, allow decent bet spreads and have fairly good rules.
In my mind, penetration has to be 70 cards (of 104) minimum or 67%. I'll let the dealer hit soft 17, but I do insist on double on any first two cards and after splitting pairs. Games like this where the dealer stands on soft 17 and late surrender is available do exist, but you're not going to read about them here. After all, I need to keep a few secrets of my own!
About Casinos and Gambling in St. The gambling market in St. Lucia includes casinos, poker, lotteries, bingo, betting. Gambling games in St. Lucia are organized in casinos are controlled and regulated by the national authorities. Minimal age for gambling in this country is 18 years. Best casino in st lucia. Best Casino Hotels in St. Lucia on Tripadvisor: Find 40 traveler reviews, 128 candid photos, and prices for casino hotels in St. Lucia, Caribbean. Use the map to find hotels in the St. Lucia neighborhood you prefer; Use the filters to see hotels in a specific area of St. Lucia, select a specific theme, brand, or hotel class from basic (1 Star) to luxury hotels (5 Stars) in St. Lucia; Enter your travel dates to view the best deals on hotels in St. Lucia - while they last.
For this discussion and for the math I'll show you, the game used is this: Two decks, the dealer hits soft 17, you may double on any first two cards, including after split; split Aces receive only 1 card and surrender is not available, but insurance is. Penetration is at least 70 cards and I'm going to use a $50-$400 bet spread.
It's very important to know the probability of your hand busting when you are holding any total in the game of blackjack. The following odds chart shows the blackjack odds of busting, depending on your current hand value:
Hand Value | % Bust If You Hit |
---|---|
21 | 100% |
20 | 92% |
19 | 85% |
18 | 77% |
17 | 69% |
16 | 62% |
15 | 58% |
14 | 56% |
13 | 39% |
12 | 31% |
11 or Less | 0% |
Two-Card Count Frequencies
This interesting blackjack odds chart is the two card count frequency chart. This chart shows the percentage chance that you will be dealt a hand in each given value range. The most important frequencey to note is the chance of being dealt a natural blackjack (natural 21 value. The odds of being dealt a natural blackjack are merely 4.8%. Following this chart you will see that the most common two card hand, at 38.7%, is a hand totaling 1-16, which is considered a decision hand.
Two Card Count | % Frequency |
---|---|
Natural 21 | 4.8% |
Hard Standing (17-20) | 30.0 % |
Decision Hands (1-16) | 38.7% |
No Bust | 26.5% |
TOTAL | 100.0% |
Dealer Final Hand Probabilities
This blackjack odds chart shows the dealer final hand probability. These are the percentages that the dealer will end up with a hand totaling each corresponding value (up to 16). Read over this chart to understand the odds that the dealer has to make his final hand.
Dealer Final Hand Value | % | Cumulative % Total |
---|---|---|
Natural 21 | 4.82% | 4.83% |
21 (3 or More Cards) | 7.36% | 12.19% |
20 | 17.58% | 29.77% |
19 | 13.48% | 43.25% |
18 | 13.81% | 57.06% |
17 | 14.58% | 71.64% |
16 | 28.36% | 100.00% |
Player Advantage vs. Dealer Up Card
The first two columns in this odds chart explain the dealer's chance of busting, depending on the up card that he is showing. You should note that the dealer has the highest chance of busting when he is showing a 5. The third column in this chart shows the player advantage of using basic strategy, compared to each up card the dealer is showing. You can see that the player has the highest advantage of 23.9%, when the dealer is showing a 5. When the dealer is showing any card that is 9 value or higher, the player is in the negative advantage range.
Dealer Up Card | Dealer Bust % | Player Advantage % with Basic Strategy |
---|---|---|
2 | 35.30% | 9.8% |
3 | 37.56% | 13.4% |
4 | 40.28% | 18.0% |
5 | 42.89% | 23.2% |
6 | 42.08% | 23.9% |
7 | 25.99% | 14.3% |
8 | 23.86% | 5.4% |
9 | 23.34% | -4.3% |
J,Q,K | 21.43% | -16.9% |
A | 11.65% | -16.0% |
Effects of Removing Cards from a Deck
When looking at the odds of removing certain cards from a 52-card deck, some cards have a much greater effect on blackjack odds. To create the strongest card counting system ever invented, you would have to incorporate all of these slight and subtle differences into the numbers to be a completely accurate system.
Removing every 5 from a deck cards would make the largest impact of improving your blackjack odds, as a player. On the other hand, removing every Ace from a deck of cards would make the largest impact on improving the odds for the casino.
Card | % Effect of Removal |
---|---|
2 | 0.40% |
3 | 0.43% |
4 | 0.52% |
5 | 0.67% |
6 | 0.45% |
7 | 0.30% |
8 | 0.01% |
9 | -0.15% |
10 | -0.51% |
A | -0.59% |
See also:
US Players and Credit Card, BitCoin Deposits Accepted!
I've been emailing back and forth with a reader who's in his mid-fifties and is about to kiss Corporate America goodbye. Because he's had some success as a card counter recently, the thought occurred to him that it might be fun to become a professional Blackjack player.
The first thing I told him is that it's not fun, but it's certainly satisfying and, under the right circumstances, can be very profitable. Making a living at the Blackjack tables is tough, unless you can put up with smokers, drunks, hustlers, big losses, rude players and casinos that want to toss you out because you're too good at what you do. If you can deal with all that, it's fun to play 'their' game – their cards, their rules, their dealer – and walk away with 'their' $$$.
The way to do it is simple and I'll prove it right here. The way to keep doing it is more of a problem and although I can give you some ideas on how to survive, it's really up to you to present yourself in such a way that the casinos will allow you to regularly make a profit at the game.
Proper game selection and an adequate bankroll are key items in the equation. These days, the best opportunities lie in double-deck (DD) games, in my not-so-humble opinion.
I know of at least 10 casinos in the U.S. that offer very beatable DD games – 'beatable' in the sense that they give good penetration, allow decent bet spreads and have fairly good rules.
In my mind, penetration has to be 70 cards (of 104) minimum or 67%. I'll let the dealer hit soft 17, but I do insist on double on any first two cards and after splitting pairs. Games like this where the dealer stands on soft 17 and late surrender is available do exist, but you're not going to read about them here. After all, I need to keep a few secrets of my own!
About Casinos and Gambling in St. The gambling market in St. Lucia includes casinos, poker, lotteries, bingo, betting. Gambling games in St. Lucia are organized in casinos are controlled and regulated by the national authorities. Minimal age for gambling in this country is 18 years. Best casino in st lucia. Best Casino Hotels in St. Lucia on Tripadvisor: Find 40 traveler reviews, 128 candid photos, and prices for casino hotels in St. Lucia, Caribbean. Use the map to find hotels in the St. Lucia neighborhood you prefer; Use the filters to see hotels in a specific area of St. Lucia, select a specific theme, brand, or hotel class from basic (1 Star) to luxury hotels (5 Stars) in St. Lucia; Enter your travel dates to view the best deals on hotels in St. Lucia - while they last.
For this discussion and for the math I'll show you, the game used is this: Two decks, the dealer hits soft 17, you may double on any first two cards, including after split; split Aces receive only 1 card and surrender is not available, but insurance is. Penetration is at least 70 cards and I'm going to use a $50-$400 bet spread.
I'm also going to assume that one does not leave the table when the count drops; this is a 'play all' situation, meaning we sit and play, regardless of the count. I'm going to also assume – and this is critical – that the player uses the Basic Strategy variations I show in Lesson 23 I feel comfortable with a bankroll of $50,000, which would mean that our player should have about $8000 available for a four hour playing session.
Because this is designed for a full-time player who basically has no means of replacing his $$$ through a job or something like that, the risk of ruin (losing it all) must be very low – preferably less than 1%. With a top bet on one hand being $400 (I'll also show a bet schedule for two hands), a $50,000 bankroll has a risk of ruin of 0.68%. In other words, there's less than a one in a hundred chance of you losing everything because of 'variation' alone. For those of you who have a means of replenishing your bankroll, a total of $25,000 will give you a 10% risk of ruin factor.
The betting schedule for always playing only one hand at a time looks like this:
Count | Bet |
0 or lower | $50 |
1 | $100 |
2 | $200 |
3 | $300 |
4 or higher | $400 |
You can see that the bet schedule is '$100 times the True Count' other than when it's lower than 1.I like it because it's aggressive and easy to remember. In a game like I described above, the player will have a long-term edge of 1.37% and the average bet will be $112.50. This works out to be an expected value of 0.0137 x $112.50 = $1.54 per hand. From here on out, the math is simple; play 60 hands per hour and you'll make an average of $92.40 per hour. Okay, it's not $100 per hour, but at a $50 minimum bet table, it's fair to say that it'll seldom be full, so there should be no problem in getting at least 75 hands per hour. At that rate, the expected income would be $115+ per hour.
Because such a high-minimum table will seldom be full, the wise player will spread to two hands whenever appropriate. Of course, that's done only when the count is favorable AND when it doesn't threaten your 'longevity' in the casino. But a lot of high-stakes gamblers (as opposed to advantage players like us) often play two hands to 'alter the flow of the cards' and other nonsense like that, so why not look like a gambler from time-to-time? Here's the betting schedule I recommend for that:
Count | One Hand Bet | Two Hand Bet |
0 or lower | $50 | – |
1 | $100 | – |
2 | – | $150 |
3 | – | $250 |
4 or higher | – | $350 |
With this bet schedule, you'd only go to two hands when the True Count is 2 or more, so there's no change from the schedule for one hand only at lower counts. I like this because it gives you the flexibility to play two hands if, say, someone leaves the table just as the count goes up or if the 'pit critter' all of a sudden isn't watching you and so forth. This bet schedule ultimately gets more $$$ on the table, yet the top bet is only $350 (on each of two hands), so it's at least modestly deceiving to casual observers (like the Pitboss). By using this schedule, the player's long-term edge is upped a bit to 1.55% and the average bet is $135.00 per round of play. This works out to be an expectation of 0.0155 x $135.00 = $2.09 per hand. It does, however, raise the risk of ruin to over 1.5%, so bear that in mind. Also, there is nothing to be gained by playing two hands when alone with the dealer unless the table's maximum bet is less than $400; this is a technique to use when other players are at the table so you can 'eat' the good cards.
Blackjack Win Rate Per 100 Hands Drop
As I mentioned earlier, the real problem with all of this is avoiding the old heave-ho. Playing Blackjack like this is going to attract attention in all but the biggest casinos, mainly because you're almost always playing with $100 chips. The 'pit critters' watch the black chips very closely and pay even more attention to consistent winners. While nobody wins all the time, this approach will, on average, see you winning about 70% of all your sessions. But, if it was easy, everybody would be doing it.