BLACKJACK ODDS: 16 AGAINST DEALER 10 Another interesting blackjack coupon that you can use at the D Las Vegas is the “Push your Bet at 22”.

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Blackjack is a game with many variations, and educated players know to look for have 21, if the dealer busts with a total of exactly 22, the hand is a push. On the Wizard of Odds site, Shackelford raises an interesting point.

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Learn more about Blackjack Odds & Probability, the House Edge and the statistics of winning. ✅ Mr Green will help you master your play at Blackjack.

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According to my blackjack appendix 4, the probability of a net win is %. percent of my DOUBLED DOWN hands should I expect to win, push and lose?

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BLACKJACK ODDS: 16 AGAINST DEALER 10 Another interesting blackjack coupon that you can use at the D Las Vegas is the “Push your Bet at 22”.

Enjoy!

Software - MORE

Blackjack is a game with many variations, and educated players know to look for have 21, if the dealer busts with a total of exactly 22, the hand is a push. On the Wizard of Odds site, Shackelford raises an interesting point.

Enjoy!

Generally, charity blackjack events turn pushes into wins for the casino. Real casinos do not offer such a hard-line rule, because players would never belly up to.

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Learn odds for the casino game of Blackjack, with event frequency charts, house Learning to play blackjack using perfect basic strategy will reduce a casino's Push (tie). 8%. Player Blackjack. 5%. Dealer Blackjack. 5%. Dealer Blackjack.

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According to my blackjack appendix 4, the probability of a net win is %. percent of my DOUBLED DOWN hands should I expect to win, push and lose?

Enjoy!

Generally, charity blackjack events turn pushes into wins for the casino. Real casinos do not offer such a hard-line rule, because players would never belly up to.

Enjoy!

The probability of this is 1 in 5,,, For the probability for any number of throws from 1 to , please see my craps survival tables. Take the dot product of the probability and expected value over each rank. I would have to do a computer simulation to consider all the other combinations. Thanks for the kind words. For how to solve the problem yourself, see my MathProblems. So standing is the marginally better play. What you have experienced is likely the result of some very bad losing streaks. Expected Values for 3-card 16 Vs. All of this assumes flat betting, otherwise the math really gets messy. For the non-card counter it may be assumed that the odds are the same in each new round. If the probability of a blackjack is p then the probability of not getting any blackjacks in 10 hands is 1- 1-p For example in a six deck game the answer would be 1- 0. Is it that when I sit down at the table, 1 out of my next playing sessions I can expect to have an 8 hand losing streak? If you were to add a card as the dealer you should add a 5, which increases the house edge by 0. Or does it mean that on any given loss it is a 1 in chance that it was the first of 8 losses coming my way? The following table displays the results. Here is the exact answer for various numbers of decks. For each rank determine the probability of that rank, given that the probability of another 8 is zero. Multiply dot product from step 11 by probability in step 9. Thanks for your kind words. Streaks, such as the dealer drawing a 5 to a 16, are inevitable but not predictable. Multiply dot product from step 7 by probability in step 5. Repeat step 3 but multiply by 4 instead of 2, and this time consider getting an 8 as a third card, corresponding to the situation where the player is forced to stop resplitting. However there are other ways you get four aces in the same hand, for example the last card might be an 8 or 9. If I'm playing for fun then I leave the table when I'm not having fun any longer. Determine the probability that the player will resplit to 4 hands. That column seemed to put the mathematics to that "feeling" a player can get. It depends on the number of decks. Your question however could be rephrased as, "what is the value of the ace, given that the other card is not a ten. Resplitting up to four hands is allowed. Because the sum of a large number of random variables always will approach a bell curve we can use the central limit theorem to get at the answer. As I always say all betting systems are equally worthless so flying by the seat of your pants is just as good as flat betting over the long term. From my blackjack appendix 7 we see that each 9 removed from a single deck game increases the house edge by 0. Probability of Blackjack Decks Probability 1 4. Steve from Phoenix, AZ. The standard deviation of one hand is 1. Here is how I did it. According to my blackjack appendix 9H the expected return of standing is So my hitting you will save 6. I hope this answers your question. To test the most likely case to favor hitting, 8 decks and only 3 cards, I ran every possible situation through my combinatorial program. You ask a good question for which there is no firm answer. There are cards remaining in the two decks and 32 are tens. Determine the probability that the player will not get a third eight on either hand. So, the best card for the player is the ace and the best for the dealer is the 5. Following this rule will result in an extra unit once every hands. Determine the probability that the player will resplit to 3 hands. The fewer the decks and the greater the number of cards the more this is true. Let n be the number of decks. My question though is what does that really mean? When I said the probability of losing 8 hands in a row is 1 in I meant that starting with the next hand the probability of losing 8 in a row is 1 in The chances of 8 losses in a row over a session are greater the longer the session. Multiply this dot product by the probability from step 2. It took me years to get the splitting pairs correct myself. Cindy of Gambling Tools was very helpful. It may also be the result of progressive betting or mistakes in strategy. However if you were going to cheat it would be much better to remove an ace, which increases the house edge by 0. So the probability of winning six in a row is 0. If you want to deviate from the basic strategy here are some borderline plays: 12 against 3, 12 against 4, 13 against 2, 16 against Deviating on these hands will cost you much less. Any basic statistics book should have a standard normal table which will give the Z statistic of 0. If there were a shuffle between hands the probability would increase substantially. These expected values consider all the numerous ways the hand can play out. You are forgetting that there are two possible orders, either the ace or the ten can be first. It is more a matter of degree, the more you play the more your results will approach the house edge. Unless you are counting cards you have the free will to bet as much as you want. In general the variation in the mean is inversely proportional to the square root of the number of hands you play. When the dealer stands on a soft 17, the dealer will bust about When the dealer hits on a soft 17, the dealer will bust about According to my blackjack appendix 4 , the probability of a net win is However, if we skip ties, the probability is So, the probability of a four wins in a row is 0. It depends whether there is a shuffle between the blackjacks. I recently replaced my blackjack appendix 4 with some information about the standard deviation which may help. From my section on the house edge we find the standard deviation in blackjack to be 1. Besides every once in awhile throwing down a bigger bet just adds to the excitement and for some reason it seems logical that if you have lost a string of hands you are "due" for a win. Blackjack is not entirely a game of independent trials like roulette, but the deck is not predisposed to run in streaks. What is important is that you play your cards right. It would take about 5 years playing blackjack 40 hours a week before this piece of advice saved the player one unit. In that case, the probability of a win, given a resolved bet, is The probability of winning n hands is a row is 0. Go through all ranks, except 8, subtract that card from the deck, play out a hand with that card and an 8, determine the expected value, and multiply by 2. The best play for a billion hands is the best play for one hand. Since this question was submitted, a player held the dice for rolls on May 23, in Atlantic City. There are 24 sevens in the shoe. I have a very ugly subroutine full of long formulas I determine using probability trees.{/INSERTKEYS}{/PARAGRAPH} According to my blackjack appendix 4 , the probability of an overall win in blackjack is I'm going to assume you wish to ignore ties for purposes of the streak. Repeat step 3 but multiply by 3 instead of 2. There is no sound bite answer to explain why you should hit. Take another 8 out of the deck. I know, I know, its some sort of divine intervention betting system I am talking about and no betting system affects the house edge. This is not even a marginal play. I have no problem with increasing your bet when you get a lucky feeling. Add values from steps 4, 8, and The hardest part of all this is step 3. Putting aside some minor effects of deck composition, the dealer who pulled a 5 to a 16 the last five times in a row would be just as likely to do it the next time as the dealer who had been busting on 16 for several hours. {PARAGRAPH}{INSERTKEYS}This is a typical question one might encounter in an introductory statistics class.