We went to a local Indian Casino to get some real experience on the tables this 4. Re: From BJMama 5 Blackjacks in a Row!! Can't believe it!! 14 years ago 16 against a , however you do increase your chances of winning by hitting it.

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What's the odds of the dealer getting 4 blackjacks in a row! Look at hands 2 through 5 Hand 2 was a push 3, 4, and 5 were all losses.

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Odds of Getting Three Blackjacks in a Row on Single Deck vs 6 Deck (2 * 4/52 * 16/51) * (2 * 3/50 * 15/49) * (2 * 2/48 * 14/47) = 2*2*2.

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We went to a local Indian Casino to get some real experience on the tables this 4. Re: From BJMama 5 Blackjacks in a Row!! Can't believe it!! 14 years ago 16 against a , however you do increase your chances of winning by hitting it.

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Determine the probability that the player will resplit to 4 hands. For how to solve the problem yourself, see my MathProblems. Multiply dot product from step 11 by probability in step 9. 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. That column seemed to put the mathematics to that "feeling" a player can get. Cindy of Gambling Tools was very helpful. For each rank determine the probability of that rank, given that the probability of another 8 is zero. The standard deviation of one hand is 1. Determine the probability that the player will resplit to 3 hands. My question though is what does that really mean? Any basic statistics book should have a standard normal table which will give the Z statistic of 0. Take another 8 out of the deck. 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? 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. You ask a good question for which there is no firm answer. Repeat step 3 but multiply by 3 instead of 2. These expected values consider all the numerous ways the hand can play out. It depends on the number of decks. According to my blackjack appendix 9H the expected return of standing is So my hitting you will save 6. Thanks for the kind words. So, the best card for the player is the ace and the best for the dealer is the 5.

This is a typical question one might encounter in an introductory statistics class.

According to my blackjack appendix 4the probability of an overall win in blackjack is I'm going to assume you wish to ignore ties for purposes of the streak. 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.

Let n be https://allworldguns.ru/blackjack/http-www-online-casino-com-blackjack-card-counting.html number of decks.

Probability of Blackjack Decks Probability 1 4. Following this rule will result in an extra unit once every hands. Determine the probability that the player will not get a third eight on either hand.

Repeat step 3 odds of getting 4 blackjacks in a row 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.

I have no problem with increasing your bet when you get a lucky feeling. I https://allworldguns.ru/blackjack/jandd-micro-2-fanny-pack.html a very ugly subroutine full of long formulas I determine using probability trees.

Multiply dot product from step 7 by probability in step 5. However there are other ways you get four aces in the same hand, for example the last card might be an 8 or 9. There are cards remaining in the two decks and 32 are tens. The best play for a billion hands is the best play for one hand. I hope this answers your question. You are forgetting that there are two possible orders, either the ace or the ten can be first. 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. From my section on the house edge we find the standard deviation in blackjack to be 1. Here is how I did it. Your question however could be rephrased as, "what is the value of the ace, given that the other card is not a ten. I would have to do a computer simulation to consider all the other combinations. It is more a matter of degree, the more you play the more your results will approach the house edge. I recently replaced my blackjack appendix 4 with some information about the standard deviation which may help. 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. Multiply this dot product by the probability from step 2. It took me years to get the splitting pairs correct myself. If you were to add a card as the dealer you should add a 5, which increases the house edge by 0. Take the dot product of the probability and expected value over each rank. 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. It may also be the result of progressive betting or mistakes in strategy. Resplitting up to four hands is allowed. From my blackjack appendix 7 we see that each 9 removed from a single deck game increases the house edge by 0. In general the variation in the mean is inversely proportional to the square root of the number of hands you play. Expected Values for 3-card 16 Vs. To test the most likely case to favor hitting, 8 decks and only 3 cards, I ran every possible situation through my combinatorial program. Unless you are counting cards you have the free will to bet as much as you want. Since this question was submitted, a player held the dice for rolls on May 23, in Atlantic City. For the non-card counter it may be assumed that the odds are the same in each new round. The following table displays the results. If I'm playing for fun then I leave the table when I'm not having fun any longer. Here is the exact answer for various numbers of decks. This is not even a marginal play. What is important is that you play your cards right. All of this assumes flat betting, otherwise the math really gets messy. 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. It would take about 5 years playing blackjack 40 hours a week before this piece of advice saved the player one unit. The fewer the decks and the greater the number of cards the more this is true. So standing is the marginally better play. Steve from Phoenix, AZ. 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? There is no sound bite answer to explain why you should hit. 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. 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. If there were a shuffle between hands the probability would increase substantially. However if you were going to cheat it would be much better to remove an ace, which increases the house edge by 0. Thanks for your kind words. I know, I know, its some sort of divine intervention betting system I am talking about and no betting system affects the house edge. Streaks, such as the dealer drawing a 5 to a 16, are inevitable but not predictable. There are 24 sevens in the shoe. So the probability of winning six in a row is 0. Blackjack is not entirely a game of independent trials like roulette, but the deck is not predisposed to run in streaks. Add values from steps 4, 8, and The hardest part of all this is step 3. What you have experienced is likely the result of some very bad losing streaks. In that case, the probability of a win, given a resolved bet, is The probability of winning n hands is a row is 0. 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.