The probability of a given outcome happening is quite simple to calculate. All you have to do is divide the number of desired outcomes by the number of all.

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This is quite a complex problem (since it's not just one question, you're devising a strategy for a whole rational game). I'll give you an idea of how I would go.

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For that, we need to calculate first the odds of dealer bust. To this date, the blackjack bust odds are the same as John Scarne calculated them in. Continue.

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The probability to get a blackjack (natural): 64 / = %. 2) Let's do now the calculations for arrangements. (The combinations are also considered.

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The probability to get a blackjack (natural): 64 / = %. 2) Let's do now the calculations for arrangements. (The combinations are also considered.

Enjoy!

Banluck/ blackjack probability hack, tips I am determined to at least win some back this year with the help of Mathematics and Statistics.

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This is quite a complex problem (since it's not just one question, you're devising a strategy for a whole rational game). I'll give you an idea of how I would go.

Enjoy!

The probability of a given outcome happening is quite simple to calculate. All you have to do is divide the number of desired outcomes by the number of all.

Enjoy!

Dealing cards in blackjack is an experiment that by the observer who solves the probability problem.

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astra-yk.ru â€º blog â€º blackjack-probability.

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I don't know how much probability background you have so I'll give you a few examples:. Derive the probability of each score with and without an ace. If the dealer has less than 16 then they must draw another card. If the score is 15 or less then you repeat, if it is then you multiply by the probability above, over 21 the dealer loses. Sign up or log in Sign up using Google. New post lock available on meta sites: Policy Lock. It only takes a minute to sign up. Question feed. Sign up to join this community. For each hand between 4 and 15 work out the probability of each score with and without aces again since they can be either 11 or 1. This technique is called the Cumulative Distribution Function. The rules of blackjack are straightforward - the dealer must stand on 16 or more. The best answers are voted up and rise to the top. Viewed times. Figure out the rules, then find all the outcomes and their probabilities, then reason from there. Once you build a probability table for all 21 possible outcomes in a Blackjack games, you can go about doing statistics on it. Sign up using Facebook. Supposing there is no more people than you and the dealer What have you tried? Since the results of a Blackjack draw takes on one among a number of distinct possibilities, the probability of each outcome is discrete. I don't know how much probability background you have so I'll give you a few examples: The value he most likely will pick up is around 7. What's the point which you want to calculate the probabilities at? I have absolutely no clue how to do this. For example:. Post as a guest Name. You and the dealer have received a card or just the dealer? Active 5 years, 2 months ago. I'll give you an idea of how I would go about trying to make sense of it. Probability and statistics are my downfall. Mathematics Stack Exchange works best with JavaScript enabled.{/INSERTKEYS}{/PARAGRAPH} The extreme ends very low values and very high values are less likely to come up than the values in the middle. Hot Network Questions. Morg Man Morg Man 43 1 1 silver badge 6 6 bronze badges. This information is useful with your assumption: If every draw begins with 52 unique cards in the deck, then the expected value of that draw remains the same every time. {PARAGRAPH}{INSERTKEYS}Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Blackjack - probability Ask Question. To figure out your chances, you need something called a Probability DensityFunction which essentially details the probabilities for all the possible outcomes. Rationally, an example strategy would be: you would decide to "hit" if your chance of getting in the "sweet zone" is higher than his. Featured on Meta. It is easy to find his chances of drawing cards in a certain value range e. Related 0. Active Oldest Votes. Email Required, but never shown. Home Questions Tags Users Unanswered. With these tools, especially with the Cumulative Distribution Function , you can start making very good educated guesses about the dealer's chances of winning the match, given his first card. This is quite a complex problem since it's not just one question, you're devising a strategy for a whole rational game. Feedback post: New moderator reinstatement and appeal process revisions. Now, every time the dealer picks the first card, you can make some probabilistic guesses about his second pick. Sign up using Email and Password. But, of course, the game is much more complicated than that. I have already spent over 3 hours trying to figure out this alone and am running out of time. Kafeaulait Kafeaulait 3 3 bronze badges. Dale M Dale M 2, 1 1 gold badge 9 9 silver badges 22 22 bronze badges. Asked 5 years, 2 months ago.