🍒 Simulating Blackjack with MATLAB - MATLAB & Simulink

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Counting Cards With Python
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First show of my Blackjack software - Professional gambling

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Blackjack Expert Explains How Card Counting Works - WIRED

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Simulating Thousands of Blackjack Card Counting Strategies with Data Another option can be to code out a game of Blackjack, simulate the.


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Can You Count Cards At Online Blackjack?

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To my knowledge, PowerSim is the first serious, open source blackjack simulator, and as such it plants the discipline of card counting more firmly in the province.


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Counting Cards Using Machine Learning and Python - RAIN MAN 2.0, Blackjack AI - Part 1

All frequencies match perfectly. I also decided to strip away every possible option that could be causing a problem. Both programs played 10 billion rounds. The free and open exchange of ideas and methods is a critical part of the scientific method. I even wrote in the composition dependent exceptions to basic strategy mentioned by Cacarulo later in the book. Frequencies at RCs or TCs other than those shown all match perfectly except when there's a special note. No changes were made in the actual playing of the hands to achieve these results. The Last 0. All sims are 10 billion rounds. BJStrike always uses the next card pointer to determine penetration, while Blackjack PowerSim uses the number of unseen cards. There is no provision for pitch, at the present time. Split to a max of two hands, double on only, 0. I re-re-rechecked my code, and did tests on my random number generator. I eventually concluded there were just too many tiny details that could influence that 0. The average TC is nearly constant, but you can "hit away" some -1 TCs, changing the frequencies. In a few cases they are two standard errors apart, which is to be expected. Still matches perfectly. I use this in PowerSim frankly because it's easy to understand and easy to program. Rules were totally different in this sim to test accuracy over a wide range of options. These things did not affect the accuracy of PowerSim True Count conversions, because my formula did use a type of rounding the INT function and the calculation is all on one line. Two emails turned into four At one point, KarlD generously offered to let me install and use BJStrike, to try and answer some of my questions. The frequencies line up fine now at -6 and Same as last, but with splitting added—no double after splits. The bottom line is, based on information gleaned from the qfit web site, I was able to put together a version of PowerSim that differs from BJA3 Chapter 10 by approximately 0. If your tolerance for geekdom is at low tide today, you may want to skip ahead to "The Royal Road to Sanity. Note that it's slightly different when you are comparing to a known theoretical mean. Only total-dependent basic strategies are used in these sims. Win rates are less than 1 StErr apart here. Using the default ramp in BJStrike, which is 1 unit for all negative counts, as well as TCs 0 and 1, then 2, 4, 6 and 12 units at TCs 2, 3, 4, and 5 and above. Here are some "Things we learned along the way:". But that last hundredth of a percent just wouldn't go away. But that assumes the entire calculation is done "in line. All well and good. At about this time, I began emailing KarlD. Have you noticed I've been strangely quiet the last few months? Same as last except now back to flat bets, new seeds, 0. I thought "why not drag HIM into this mess!? I've seen his handle on the newsgroup rec. The rules were 6 decks, S17, with Shuffle Point at and no burn cards. Given the previous result, the Strike frequency at 0 is likely close to Now I'm adding DAS, with the appropriate change in basic strategy. This doesn't happen by accident. Download XBasic Documentation. Things as subtle as whether you round exactly 3. But then the 2 billion round limit was lifted. It didn't help. Average Scores were And that, fellow number crunchers, doesn't happen by accident. What follows is one man's attempt to get his nose on straight. However, it's not absolutely certain this was the strategy used in Chapter They are marked "nearest half-deck pen estimation" or "comp-dependent exception. They have to be. New seeds for both programs, but otherwise same as last sim. StErr for the win rates is 0. The standard error for this WR is 0. If they were any closer, I'd worry about the independence of the two programs. The win rates also match up extremely well. The WRs are averages for the four players. For the next several sims I will adopt a different format. D in Computer Engineering, and currently works for a major computer company. Same as last, but with new seeds. Total-dependent Basic strategy was used for hitting and standing only. This just means the lost 0. This was due to certain natural limits on the range of integer variables in a bit language. I would like to acknowledge KarlD's help in patiently responding to questions, and getting the necessary tools into my hands.

Professional gamblers are hard nosed bastards. Same as last except 4 players now, and new seeds. New seeds and still matches up fine.

Blackjack card counting simulation once was a brief problem with insurance under the European no hole card rule, which was promptly acknowledged and fixed. This is all the relevant data easily extracted from both programs. He also has a Ph. Well, one email turned into two.

The first two lines are for the same sims shown above. PowerSim assumes all cards are dealt face up except the burn card and hole cards, of course.

The above represents only about half the sims performed during this quest for Inspector 9's seal of approval. This is the same as the first sim—same seeds, same everything—except BJStrike type TC conversion was used with 0. I wrote in code for PowerSim to track running counts and also here give total frequencies for all negative counts, and all positive counts greater than zero.

This is no cause for concern since PowerSim is within 0. PowerSim is closer to machine-like precision. I think he could tell he was dealing with a sad, charity case. Splitting index was 5 for splitting TT v 5 or 6. Nice to know that with a bet spread of a million to one you can get continue reading positive EV even with no splitting or doubling.

A blackjack card counting simulation example: IF. Professional Card Counting Simulation. The theorem also doesn't apply when you DON'T round. I rechecked my interpretation of the shufflepoint. Still 10 billion rounds, still using hi-lo. The Win Rates are for player number 4.

Here then, hot off the presses, is a comparison of PowerSim vs. Our algorithms are quite different, our random number generators are different, but our frequencies match to within 0. Win rates are 0.

I have spent the last few months running 10 and 20 billion round simulations, and found some unsettling discrepancies with, for example, the sims reported in Blackjack Attack ed. The last card pointer in BJStrike is more precisely called a next card pointer, and is exactly the same as my shoeTop variable. KarlD is an avid blackjack player and counter. Let me briefly mention the important part open source simulators play in the science of blackjack. I won't bore you with the details except to say I had some 13 different versions of PowerSim running night and day. The BJStrike way is closer to the way a human does it.