πŸ’° The mathematics of blackjack: Probabilities

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Skills required, Probability. Cards, 52 to (one to eight card decks). Deck, French. Play, Clockwise. Random chance, High. Blackjack, formerly also Black Jack and Vingt-Un, is the American member of a global family of On this show, three players answer questions to earn cards in order to win up to $25, and ties.


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Blackjack Probability, Odds: 21, Double Down, Pairs, Hands
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What is the probability that both cards dealt are aces or point cards? b. probabilities from parts (a), (b), and (c) can be combined to answer this question.


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Probability of obtaining a blackjack from the first two cards is P = 32/ = % in the case of a 1-deck game and P = 64/= % in the case of a


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Probability of obtaining a blackjack from the first two cards is P = 32/ = % in the case of a 1-deck game and P = 64/= % in the case of a


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The mathematics of gambling are a collection of probability applications encountered in games Dealing cards in blackjack is an experiment that generates events such as the occurrence of a certain card or value as the first card dealt.


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Can you solve this gambling paradox?

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You are playing blackjack from a single deck, and you are the only player on the Consider the same situation as the previous question; what is the probability.


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Over the past quarter century, I've received many questions from blackjack Therefore, the probability of getting a blackjack in a single deck game is twice.


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Thanks for reading? I'm interested in the following situational question - In a standard Double Deck game, What is the probability of being dealt a.


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Thanks for reading? I'm interested in the following situational question - In a standard Double Deck game, What is the probability of being dealt a.


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21 - Monty Hall - PROPENSITY BASED THEORETICAL MODEL PROBABILITY - MATHEMATICS in the MOVIES

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A blackjack game has a dealer and one or more players. Problems. If you are dealt a point total of 16, what is the probability of busting if you hit, assuming that​.


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Using Odds and Probability in Blackjack - Blackjack for Intermediate Players

Sign up or log in Sign up using Google. Morg Man Morg Man 43 1 1 silver badge 6 6 bronze badges. Sign up using Facebook. 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. The rules of blackjack are straightforward - the dealer must stand on 16 or more. It is easy to find his chances of drawing cards in a certain value range e. It only takes a minute to sign up. Sign up to join this community. Home Questions Tags Users Unanswered. 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. Dale M Dale M 2, 1 1 gold badge 9 9 silver badges 22 22 bronze badges. 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. I don't know how much probability background you have so I'll give you a few examples:. Probability and statistics are my downfall. Asked 5 years, 2 months ago. But, of course, the game is much more complicated than that. Viewed times. Rationally, an example strategy would be: you would decide to "hit" if your chance of getting in the "sweet zone" is higher than his. Supposing there is no more people than you and the dealer What have you tried? I have absolutely no clue how to do this. Blackjack - probability Ask Question. Now, every time the dealer picks the first card, you can make some probabilistic guesses about his second pick. For example:. You and the dealer have received a card or just the dealer? The extreme ends very low values and very high values are less likely to come up than the values in the middle. Active Oldest Votes. This is quite a complex problem since it's not just one question, you're devising a strategy for a whole rational game. To figure out your chances, you need something called a Probability DensityFunction which essentially details the probabilities for all the possible outcomes. If the dealer has less than 16 then they must draw another card. I have already spent over 3 hours trying to figure out this alone and am running out of time. Hot Network Questions. Since the results of a Blackjack draw takes on one among a number of distinct possibilities, the probability of each outcome is discrete.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. What's the point which you want to calculate the probabilities at? Question feed. Derive the probability of each score with and without an ace.

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This technique is called the Cumulative Distribution Function. 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. Post as a guest Name. The new moderator agreement is now live for moderators to accept across the…. Email Required, but never shown. Kafeaulait Kafeaulait 3 3 bronze badges. Featured on Meta. Sign up using Email and Password. 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. 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. I'll give you an idea of how I would go about trying to make sense of it. Feedback post: New moderator reinstatement and appeal process revisions. The best answers are voted up and rise to the top. Active 5 years, 2 months ago.