🔥 probability - Expected value for blackjack - Mathematics Stack Exchange

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For example, if one hand total has an advantage of positive 5% and another hand has In blackjack when an Ace or 10 value card is dealt the casino If we apply the expected value scenario to a flip of a coin, we know that.


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positive expected value blackjack

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When you have a positive expected value (+EV), you have “the best of When you're playing blackjack, you have a –EV and the casino has a.


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When you have a positive expected value (+EV), you have “the best of When you're playing blackjack, you have a –EV and the casino has a.


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[request]What is the expected value on a $1 blackjack hand? House rules hit soft 17 apply. Math teacher here. This was asked by a student of mine.


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When you have a positive expected value (+EV), you have “the best of When you're playing blackjack, you have a –EV and the casino has a.


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Expected value table home page, with explanation. The data in the cells are the EV numbers and the cells are coloured for greater clarity - yellow for positive​.


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If played correctly, card counters generate a positive EV using strategic betting, and actually generate a profit over a long period of time.


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Expected value table home page, with explanation. The data in the cells are the EV numbers and the cells are coloured for greater clarity - yellow for positive​.


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If played correctly, card counters generate a positive EV using strategic betting, and actually generate a profit over a long period of time.


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positive expected value blackjack

Featured on Meta. Feedback post: New moderator reinstatement and appeal process revisions. Here's the first rub, the composition of remaining cards is dependent on the cards that are already dealt.

Mathematics Stack Exchange positive expected value blackjack a question and answer site for people studying math at any level and professionals in related fields. Your initial premise stated an infinite number of hands, but I'm assuming there wouldn't be an infinite number of decks since you can play an infinite amount of hands with only one deck.

It would be even better not to play at all, but in that case positive expected value blackjack chance wheely y8 you win is of course zero. Active Oldest Votes. This is the equalizer in this game; hence the name Blackjack! Number 1, the final 4 cards in this example are dependent on near me 5 blackjack tables previous 48 cards played.

Sign up to join this community. Number 3, your EV is affected by the initial value of the wager. Viewed 4k times. Let's positive expected value blackjack you've been wagering 10 dollars per hand up to this point and for arguments sake have played a total of 20 hands.

Otherwise, eventually, you will blow up. I assume what you're referring to is the basic strategy for Blackjack having a negative EV in a typically available variant of Blackjack. Active 11 months ago. This means if you decide to gamble the click here 1, dollars on your next hand that you're only liable to lose 1, dollars while you could also possibly win 1, dollars.

You're down dollars. Number 2, your EV is affected by the particular rules of the game in this example the fact that a Blackjack results in a 1.

Note that probabilities of winning fluctuate as cards are constantly being dealt, due to ratio of high cards good to low cards bad remaining in the deck fluctuates. The best answers are voted up and rise to the top. Email Required, but never shown. But there are other strategies, for instance this onethat uses Martingales.

Hot Network Questions. Positive expected value blackjack 3 '15 at Josh Josh 11 2 2 bronze badges.

I mentioned that approach because, if you're goal is to merely make a winning i. As you play an infinite amount of hands, you would always lose money because you would win less than 50 percent of the time. Sign up using Facebook.

As you play more and more games, although it seems like you would eventually win, if you lose say the 12th game in a positive expected value blackjack, you will have catastrophic losses which seem like they would balance out your winnings.

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Home Questions Tags Users Unanswered. In the game of blackjack, the odds of winning each hand are slightly less than 50 percent. NB: The above is assuming you bet the same amount multiple times, e. New post lock available on meta sites: Policy Lock. Related 0. Asked 4 years, 7 months ago. You can calculated your EV here simply as. The composition of the four remaining cards is knowable even if the order isn't. Here's the second rub, a Blackjack pays the player 1. Please edit and use MathJax to properly format math expressions. By this rationale, wouldn't your highest odds of winning be if you only played one game? Jonathan Yoder Jonathan Yoder 39 1 1 silver badge 3 3 bronze badges. Unfortunately, you've lost all 20 hands thus far. If played correctly, card counters generate a positive EV using strategic betting, and actually generate a profit over a long period of time. If one becomes a skilled counter, they can place higher bets during stages in which the player has the probabilistic advantage over the casino. Post as a guest Name. Sign up using Email and Password. In other words, the probability that you end up in the plus gets lower the more bets you make. It only takes a minute to sign up. Imagine a standard deck consisting of 52 cards with each card being played in a game of Blackjack with the exception of an Ace of spades, king of diamonds, 10 of clubs, and a jack of hearts. The study of these changing probabilities is what lead to the birth of card counting. Sign up or log in Sign up using Google. In the example I've outlined you can see a few of the basic dynamics of the game in action. The certainty is that either you or the dealer will have a Blackjack. Expected value for blackjack Ask Question. Betting a lesser amount each time does not change the odds of winning a single hand, but it does lower the variation of your return. Question feed.