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You should be able to effortlessly run thru the chart. Our free drill is a great way to efficiently put basic strategy into practice. Practice on our iOS App. The bottom line is that you need to drill yourself on basic strategy decisions until you can play Basic Strategy perfectly. Sorry, no Android or Windows Phone app. Keep reviewing. Basic Strategy is sort of an abstract thing. You might go 10 hours of playing blackjack without seeing some decisions.
But when you DO see it, you want to know what to do instantly. Count through a deck of cards. The first step is to take a deck of cards and count through it, one at a time. We have this free drill so you can efficiently begin practicing card counting.
The goal is the same as basic strategy… begin slowly, but accurately until you can play hands perfectly. The old Fashioned Math Practice Approach. Then write the numbers 1 to 30 on scraps of paper and place them in a hat, cup, whatever. Then, starting with less than 1 deck in the discard tray, start pulling numbers out of the hat and practice dividing the number by 6 the number of decks remaining.
Do this 20 or 30 times. To keep things simple, we would leave out options such as splitting , doubling down , surrendering , etc. Also, since we are measuring wins versus losses, we can eliminate the need for betting. However, betting size in a normal Blackjack game is important to know.
Each function serves an important purpose for running the game. This function follows the rules of every Blackjack dealer. It deals until the dealer reaches a value between 17 to 21 or until the dealer busts. It eventually compares the hand of the dealer to the hand of the player to determine who won. Next, in order to count cards during the game, we created a Pandas DataFrame of the different card counting strategies and their specific values for every card:.
In this code to create a DataFrame of card counting values, we exported a pickle of the DataFrame for use later on. Make sure that this pickle file is in the same folder as the Blackjack code in order for it to run properly. Then, we added card counting functions to keep track of the count while the game is playing:.
These functions keep track of the count throughout every round of Blackjack in the entire game. Now that we have all of our functions ready, we can run Blackjack. Feel free to test out the Blackjack game in your own terminal or IDE.
There are two versions of this game:. Now that we have a Blackjack game coded out and ready to go, we can finally begin simulating Blackjack games with different card counting strategies 1, times each. By simulating the various different strategies, we can narrow down the preferred method of card counting that will benefit us in the best way possible. However, we must temper our expectations for each strategy.
We reiterate that each strategy is reported to give the player a 0. To simulate a Blackjack game with our code, we will have to alter our previous Blackjack code to compensate for the lack of player input. This function may require some tweaking to better improve results later on. With that handled, we can move on to simulating the games. We begin the simulation by entering our function for playing Blackjack games into a loop that will iterate through a list of strategies and then play 1, games with each strategy.
We recorded the last 10 rounds of each game in order to capture the effectiveness of each strategy because those rounds will have a decent count from which a decision could be made. Finally, we have simulated over 1, games of Blackjack for each different strategy we have listed in the Pandas DataFrame. We shuffled the order of the strategies to be simulated to further increase the randomness. Also, we included draws with our wins because a draw in Blackjack results in no money lost when playing against just the dealer.
Now, we just need to graph the results from our simulations. This can be done simply by plotting the results for each strategy in a line graph format using Matplotlib. Running this code will give us the following graph:. It appears that most of the card counting strategies have similar results but they all seem to beat out having no strategy at all.
It appears that whatever strategy that runs first in the simulation will result in wildly different values in the beginning. So our observation was correct in assuming that whatever strategy ran first results in erratically different values. But the overall results for every strategy are very similar. As it appears in the graphs before, each strategy can provide a decent edge over the dealer.
Implementing either one of these strategies seems to be enough to give you an advantage over the casino or house. This also seems to provide a decent percentage of success as long as the strategy is followed with no deviations. It should be noted that we do not endorse gambling as a method of making money.
But, card counting can provide you with an edge and it really does not matter which strategy you choose to stick with. However, just know that these simulations were done with a basic hit or stay decision and some of these strategies do actually factor in bet size as well as other factors. Also, please know that these simulations and results were made with relatively simple Python methods and tools. All in all, good luck to those who decide to use these strategies!
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Since then, the Kelly strategy can be seen in many other forms of gambling and other casino games. In fact, this strategy is sometimes known as Game Theory. The Kelly formula is used to determine what fraction of the bankroll should be wagered based on different variables.
Implementing this while card counting is very complicated and it takes much experience. You pretty much have to master card counting first before even beginning to comfortably implement the Kelly method. The formula is shown below:. Just find the variables b, p, and q. The fraction being found will maximize the money being won when using card counting. The number you are looking for is the probability of winning, which is extremely complicated to find.
It's the actual edge that you have over the casino and this is always changing as the count changes. Although if you are one fine player who is good at math and you can find the edge, then the Kelly formula will maximize your profits. The main drawback obviously is trying to calculate numbers like this in a casino environment. Also, the Kelly criterion doesn't guarantee a profit either.
All it does is ensure that you correctly winning the biggest profit. Another drawback to the system is it's a long term process. It won't help you in the short term, but you will notice a huge change in the long term. At the same time though, the criterion minimizes the chance for a complete lose of your bankroll. Basically, it doesn't actually improve your odds, it just ensures that you are getting the biggest "bang for the buck" or largest profit per bet.
The theory initially assumes that you are card counting to begin with anyways. This is what gives you the blackjack edge over the casino. The amazing part about using this formula is that you will build up compound interest in the long term by 9. This means your profit is nearly ten percent higher by using this the Kelly strategy.
If you are correctly counting cards, you should be guaranteeing yourself a profit in blackjack. So in the long run, you will be running a perfectly efficient system. One other thing I should point out is the half Kelly criterion sometimes used. Anything less than that is disrespectful to your hard earned money.
Tour Membership. Become a Member. There are two primary reasons I see this happen: Overestimating your edge. Even a true 10 is only a 4. Chasing your money. Psychological studies have shown that people are incredibly averse to losing.
People will make poor financial decisions when they have lost money in an effort to get it back. There is no shortage of this in casinos… you start betting more in hopes of winning back losses. But being an effective card counter means being a disciplined investor.
Losing is part of the game. Under-betting The other mistake I see with newer card counters is under-betting, and it comes with risks as well. There are a couple common reasons people tend to under-bet: Fear of Getting Backed Off.
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