Casino Games And Mathematics. Part 2.

Thorp managed to find out that owners of gambling houses gave their officials rather strict directions with regard to the strategies which they should stick to in the game with visitors. Control over fulfillment of these directions had its initial aim to prevent from a frame-up of a croupier with the rest of the gamblers, a chance of which could not be excluded. Assigned for a croupier strict rules determining his game strategy really substantially reduced a probability of such a frame-up, but on the other hand, allowed an advanced” gambler to rather adequately reveal the essence of this strategy and effectively oppose it. For unlike a croupier a gambler needn’t show the first of the received cards, as well as isn’t enchained by any strict rules as regards his strategy, that is why flexibly changing his behavior he can confuse a croupier. For example, Thorp found out that practically in all gambling houses of Nevada State croupiers were strictly ordered to keep away from a widow in case the amount of points in his cards exceeded or was equal to 17, and a player, from our mathematician’s point of view did not have to miss an opportunity to make use of the knowledge of even some aspects of a croupier’s strategy for achievement of his aims. Thus, those advantages which had an official of a gambling house from the start (as we already know, he is not obliged to open his cards at the end of the game), can be compensated to a certain degree for the knowledge of a player about the strategic “tunnel vision” of a croupier.

Besides, as has been mentioned, Thorp, while building his strategy presumed that cards were not often shuffled, in particular, if after finishing of a regular game there were still cards left in a pack, a croupier did not collect the thrown-away by the gamblers cards but dealt them anew (and the next game was played), and only after complete exhaustion of a pack, an official of a gambling house collected all the cards, thoroughly shuffled them and a new cycle” began. Naturally, if a gambler had a good memory he could change his strategy depending on the knowledge of the cards which had gone out of the game, and what cards could still be counted upon. It is important to remember that a croupier himself who was to strictly follow the directions of the casino’s owners practically without changing his strategy!

Thorp set himself a task to formulate the rules which would allow him to calculate probabilities of taking out one or another card out of an incomplete pack. Knowing these probabilities a gambler could already with reasonable assurance draw cards from the widow without being too much afraid of a pip out”, and besides, on the basis of the knowledge of some aspects of a croupier’s strategy to make suppositions about those cards which he had, and other gamblers as well. Naturally, as a gambler was to make a decision with regard to a widow very quickly, the sought rules for calculation of probabilities were to be rather simple for a gambler to be able to use them in mind” with the help of neither a calculator, nor a pen and paper (even if we suppose that a gambler will be given a chance to do calculation on paper, it will certainly arise suspicion). Edward Thorp managed to solve this mathematical problem having created rather simple algorithms for calculation of probabilities of taking out of one or another card from a pack, and using them to build a strategy of the game of twenty-one which would not be very complicated, allowing a gambler to considerably increase his chances of winning!

As the Hungarian mathematician A.Reni states after a few days of presenting his report on the obtained results at the meeting of the American Maths Society in 1960 in Washington Thorp received from a businessman a letter with a check for 1 thousand dollars intended for checking of a winning strategy in practice. Thorp accepted the check and having learnt the formulated by him rules left for Nevada to try his discovery. The trial went well: less than after two hours Thorp won 17 thousand dollars.

Needless to say, the owner of a gambling house didn’t share Thorp and his companion’s delight with regard to a successful comeout of the trial and the next day did his best to prevent Thorp from joining in the game. Later on Thorp tried to penetrate into other gambling houses, but the news of him had already spread far and wide, so that the doors of all the gambling houses appeared to be closed for him. Several times having adjusted a fake beard or having got a make up of a Chinese, Thorp managed to get to the gaming-table, but in any disguise his constant gain invariably gave him away. Thorp had to refuse from further checking of the strategy developed by him”. Though “additional checks” were necessary” only to enrich the pockets of the talented mathematician. One could hardly doubt that E.Thorp managed to create a real winning strategy!

However, since he could no longer benefit from his discovery himself, he decided to render welfare assistance” to his colleagues having published in 1961 a small article in an American academic journal (Thorp E.O. “A favourable strategy for twenty-one”, Proc.Nat.Acad.Sci., 47, 110-112, (1961)). And despite the small size of the article and, consequently, an extremely condensed form of persentment, made it comprehensible for rather a narrow group of professionals, one can be sure that a number of American scientists and their friends certainly “improved” their material situation (owners of gambling houses were unlikely to read scientific magazines at that time).

Wins And Losses Of Casino Gambling

Gambling is a form of entertainment that involves the extensive use of money as betting instruments. While it can be entertaining as well as enjoyable, indulging excessively in the game can be dangerous, especially when the money involved is already one’s lifetime savings after years of hard work. This is especially true when the form of gambling that one indulges in is that of casino gambling. Needless to say, casino gambling has some good and bad effects on a person.

In some countries, especially in those areas where Islam is the prevailing religion, casino gambling is strictly prohibited. Religious authorities in these countries generally frown upon this game of chance basically because of the perceived social costs that it inevitably brings.

However, in a number of countries, especially those which are highly-industrialized, casino gambling is a legal business venture, although certain regulations or limits are often set. This is because the game is a double-edged sword. It gives you the opportunity to double or even triple your money. At the same time, however, when you grab that opportunity, you unwittingly also give the game the chance to take away some,if not all, of your money.

The stakes easily become higher in the case of casino gambling. In this form of expensive entertainment, there are usually only two ways to go – either you get to double your money or you lose all of it. This is not just small money, the amount involved usually run in the thousands. Casinos operate on the basic premise that it allows you to have a crack at their money, but at the same time they get to have a shot at yours as well. Who gets to go home as the winner at the end of the game depends on how you will play the game which will have to include the amount of money that you will be willing to place on the betting floor.

This is not to say that casino gambling should be banned altogether. The game as well as its concept has been with us for decades. Perhaps the game has gone on even for centuries. Another thing, as a form of entertainment, it still has its own share of beneficial effects; relaxation being the prime consideration. The key to successfully playing the game is simply to handle it with the proper attitude.

Gambling to be an effective means of entertainment should be approached as simply a game and nothing more. Of course, the aim is to win if possible. But at the same time, a player should not totally discount the possibility that one could also lose. And losing means giving away only the amount of money that you can afford to lose. This is essentially a good strategy, especially when it comes to the issue of casino gambling, where the betting stakes are higher, in which case a planned betting method is recommended. This will include discipline, which basically means having the ability to control yourself, especially when losses start piling up and the winnings that were accumulated in the early games start dwindling because of your casino gambling.

Secret Formula Of Black Jack Winners

When someone plays a game, they play to win. One of the many simple games at the casino is Blackjack. For those who don’t know how to play the game, it’s always best to start by learning the basics.

When playing Blackjack the most important feature to remember is that there are four times as many cards that have a value of 10 (10, J,Q,K) as any other value. With this information, one must always assume that the next card to be drawn from the deck has a value of 10.

By keeping this in mind, one may realize that if one has any hand that has a value over 12 one will likely lose or in blackjack terms bust (go over 21). Likewise if the dealer’s card is a 2-6 it is likely to draw a 10 card which means he will have to draw again, likely causing him to bust.

Another way to make the odds more favorable to the player than the dealer is by counting cards. This of course requires many pages and charts that must be memorized. Having a professionally written guide is very helpful and there are many different authors that have different styles and different counting systems. It’s always best to get more than one opinion to find out which style works best.

Practice makes perfect. By investing time and money with online training software learning the game, it will eventually pay off at the casino.

Upon entering the casino, one must choose the right table to play at. When one observes that the players at a table seem to be winning a lot, it is a good time to join in the action. Likewise, if you notice the dealer has a lot of chips and the players seem to be doing more losing than winning, then look for a better table.

Reward the dealer by tipping when one is winning. If the dealer knows he will be tipped when the players wins, he may begin rooting and actually do subtle things to help such as performing less thorough shuffles and penetrating deeper into the shoe before he re-shuffles thus allowing the player to get a more accurate count of the cards.

Though if the dealer starts losing too much money for the casino the pit boss will likely change dealers.

Although it may be impossible to find the perfect game, one should be familiar with how certain house rules affect the player.

Keep in mind that as a rule of thumb, the fewer decks the casino uses the more advantageous it is for the player.

Best Casino Gambling Pay-outs

Nobody comes to a casino simply because they want to have fun. Underneath this vague reason is the desire to bring home cash, and lots of it. Indeed, casino gambling is a way to get your hands on lots of cash in a short time. However, it can also be the way to lose cash in an even shorter time. The thing with casino gambling is that the games have different pay-out rates. For example, spending half an hour in the slots will not help you reach the hundred dollar mark unless you win the jackpot. But if you go and spend time at the roulette table, you can reach the 200-dollar mark without waiting for 30 minutes. Likewise, you could lose all your casino gambling money at the roulette table in a shorter time than it will take you to lose $10 at the slots.

The trick to maximize casino gambling profits is to choose the right games to play. High pay-out games usually give you more money for limited funds. However, skill is highly needed in playing these games. Being a novice and attempting this game with the more experienced players only make you lose your funds. The rules may vary in different casinos, but still the most favored high-paying games are blackjack and video poker.

Depending on your casino’s blackjack rules, blackjack is a game wherein a player can expect high returns providing he plays wisely. There are many variations in blackjack rules like the number of card decks, splitting and doubling bets, and other rule variations. Years back, most casino gambling websites offer great odds. If played strategically, the player even gets valuable advantage. However, rules change and now, the odds are in the casino’s side regardless of the player’s strategy. So to ensure good pay-outs in playing blackjacks, it is to your favor to seriously consider being an advance blackjack player.

Of course, not everyone is born with jacks and aces in their hands. But learning good blackjack strategy is easy. There are many free and downloadable blackjack software tools that you can download and practice on. Also, blackjack books are available at most bookstores. These books are usually authored by top blackjack players who have gained fame and fortune in playing the game. Don’t frown because nothing is easy these days. Being a winner requires effort, so that at least you can enjoy yourself doing it. With regular blackjack practice, you could soon be the next casino gambling blackjack king.

Video poker is another casino gambling game that has a reputation for high pay-outs. However, like blackjacks, video poker rules and pay-out schemes vary among casinos. Examining the casino’s pay tables is important before starting video poker, or any game for that matter. Usually, there are different video poker machines at a given casino. Be sure to choose the one with best pay tables, otherwise, you’re just giving the casino your money without a fight. Good pay tables are assurance that the game you’re playing actually favors you.

Good video poker machines usually allow over a hundred percent return the longer you play the game. Also, despite being similar to slot machines, video poker is not a game of chance. This means that you have an actual advantage depending on your skills. Consequently, you cannot play the game and expect a high pay-out without understanding the basic rules and arming yourself with useful techniques. Casino gambling is fun, but it does entail some work.

Most casino gambling websites and traditional casinos offer both games. Betting experience and game skills improve your chances of winning the games and getting high pay-outs. Though playing requires effort in learning the games and mastering the skills, it does have its rewards. Besides, casino gambling is more fun if you go home laden with cash than big debts.

Casino Gambling

Casino gambling can be fun and exciting. At the same time expensive. Dependent on how much you are willing to gamble. It is important to keep in mind your specified budget. As it is very easy to get carried away when you are in the casino, you have to take care that the next thing you know, you haven’t gambled everything away and now you are down to your last penny. Before you get to this scenario, stop, think and walk away or quit casino gambling.

The first rule in casino gambling is to know the game. Casino gambling can be difficult if you are not sure about the rules of a game. For instance, if you want to play baccarat but don’t know exactly what baccarat means it is better to stand back, watch and learn the game first before you try your luck. Another golden rule that you should observe in casino gambling is to not gamble more than you can afford. Always know how much you can spend before you step foot in a casino and don’t risk any more than that.

Do not indulge in casino gambling with the aim to get rich. If you do, you will only be disappointed. And you may lose more money than you care to. Casino gambling should be for fun and entertainment. In casino gambling you should not hand a dealer the loose change. Willingly you place it in the table. If you find that your dealer is rude, then leave the table and play elsewhere. You should not put up with bad service. You can avail yourself of free casino gambling lessons. You could try casino gambling in the morning when there are less people in the casino. You could try casino gambling in the morning when there are lesser people in the casino. This way the dealer could offer you assistance when you are new to the game. In casino gambling you should not up your stakes to cover your losses. You may lose big time if you do. You can up your stakes when you are winning so you use the casino’s money instead of your own.

There are strategies you can use that can reduce the house’s edge but you can never beat the house. Another to watch out in casino gambling is the game called keno. This may be a simple game but the odds are always in favor of the house. If you are new to casino gambling, you should look for a casino that lets you play with lower stakes. This way if you commit mistakes, your losses will be smaller. The posh hotel-casinos located on the Strip in Las Vegas generally have higher minimums compared to those in the downtown area.

Casino gambling is a good way to add some exitement and break the monotony of your life. Casino gambling gives you an opportunity to engage your senses including your mental abilities to focus on the game. Casino gambling can be a good source of entertainment. You should not view casino gambling as a get-rich-quick scheme. But just like any endeavor, it should be taken in moderation. Anything that is done in extremes could be detrimental to the purpose casino gambling is aimed for- which is to provide release of stress and pleasure. Gambling, done in the extreme can become an addiction, so play in moderation and have some fun.