Casino Games And Mathematics. Part 1.

Can the knowledge of mathematics help a gambler to win?

One can often hear that the best piece of advice given by a mathematician to a lover of gambling games is an assertion which lies in the fact that the best strategy in gambling games is complete abstention from participation in them. A lot of mathematicians consider that the most which the theory of probability and the theory of games can give a gambler are the strategies following which he won’t lose too much.

It is difficult to predict whether the American mathematician Edward Thorp shared this view, when once spending winter holidays in Las-Vegas, he, having entered a casino, decided to try his luck in the game of twenty-one. As it turned out, Dame Fortune” was extremely unkind to him. We do not know for sure what amount of money this teacher of mathematics of one of American universities lost that winter night at the end of the 50-s the beginning of the 60-s of the last century, however, judging by the following events the amount was not small. Otherwise, how can we account for the fact that development of an optimal strategy of this game became for a number of years an idte fixe” of our hero. Besides, the matter was not only in the quantity of money lost by the mathematician. Perhaps, Thorp was simply an extremely venturesome person, and his pride both of a gambler and an expert-mathematician was hurt. Besides, he could suspect a croupier of dishonesty, since, as he had noticed, cards were not shuffled after each game. Though, during the game itself it did not make him very uneasy. However, afterwards, having visited casinos a number of times, he noticed that as the rules did not presuppose obligatory shuffling of cards after each game, so it was difficult to accuse a croupier of anything. Anyway, he managed to develop a winning strategy in the game of twenty-one.

This strategy among other things was based on the same very aspect which had put a defeated mathematician on his guard cards were not shuffled too often. At that, this, apparently, as a rule, was done not because of some evil design, but in order to avoid, so to say, unnecessary slowdowns in the game. The results of his studies Edward Thorp put forth in a book published in 1962 (Thorp E.O Beat the dealer. A winning strategy for the game of twenty one. – New York: Blaisdell,1962.) which made owners of gambling houses in the state of Nevada essentially change the rules of the game of twenty-one. But let’s not ride before the hounds.

In accordance with the game rules of twenty-one of that time one croupier dealt gamblers two cards each out of a thoroughly shuffled pack consisting of 52 cards. Gamblers themselves did not show their cards to a dealing croupier. At the same time out of two cards taken for himself an official of a casino showed one of them (usually the first one) to gamblers. Gamblers evaluate their cards according to the following scale. Jacks, queens and kings have a value equal to 10 points, an ace could be assigned either 1 point or 11 points, the value of the rest of the cards coincided with their numerical value (eights had 8 points, nines took 9, and etc). That gambler was considered a winner who had cards on hand with the sum of points closest to 21 from the bottom. At that, having assessed the received cards every gambler (including a croupier) had a right to take from a pack or putting it simpler, take a widow”, any amount of cards. However, if, as a result, the total number of points after a widow, will exceed 21 points then a gambler must drop out of a game having shown his cards.

Special rules were established with regard to stakes. Initially, upper and lower bounds were set, and every gambler had a right of choice of a specific stake (within these bounds) depending on the evaluation of his position. If, as a result, it turned out that in accordance with the game rules a casino’s visitor had a “better” number of points on hand than a croupier had, he received a gain in the amount of the stake that he had made, otherwise, this gambler lost his stake. In case of an equal number of points of a gambler and a croupier, the game ended in peace, that is the result of the game is considered harmless” both for a gambler and a casino.

Let’s point out that unlike ordinary gamblers a croupier is not obliged to open his cards in that case if the number of points in these cards exceeds 21. Moreover, after all the gamblers have opened their cards, and therefore, all the stakes go to a casino gamblers cannot practically find out what was the number of points of a croupier, in order to build their game strategy for the next game (whether to risk or not to stand pat, and etc). It goes without saying, it gives a croupier considerable advantages. Besides, all the gamblers are surely aware of this, and, … continue to play. Nothing can be done about it, who does not take risks, as is known, does not win.

Gaming Services: A Career In Gambling

It was a long time before gambling was legalized in the United States. It was not a one time legalization of all gambling games though but a very long process. The legalization process was also different and in various stages for each state. In the end, the government assessed more jobs for employment due to the legalization of gambling. Casino games such as poker, black jack, slot machines were said to be helpful in creating jobs across the United States.

Gaming or the play of various games of chance is reported to be a multi-billion industry that paved the way for the creation of a number of service professions. Gaming can include the usual casino gaming, state lotteries, horse racing, dog racing and even charitable games. The gaming industry created such an impact that it reached the status of an industry. How ironic that an industry that is supported by games of chance could sustain and provide stable jobs for the people.

Almost all workers that cater to the gaming industry are employed in the casinos. These workers have titles and responsibilities that could vary from one casino establishment to another but despite these differences in titles, all workers are basically doing the same thing. Workers could supervise, investigate and conduct surveillance while some of them will be assigned to work directly with the customers or casino players. These workers will perform various activities such as dealing cards or running games, tending the slot machines, handling money and writing or running tickets.

The Gaming Supervisor

The workers mentioned above will not be as organized as they should be without someone to oversee and supervise their day to day activities. This is the job of a gaming supervisor. A casino establishment can have more than one gaming supervisor. Gaming supervisors oversee the operations and workers assigned in a particular area of the casino. They circulate within the area, checking every table available and ensure the fluidity of the games even in the midst of shift changes.

Basically, the gaming supervisors are the workers who usually interact with guests in times of complaints or whenever guests have a hard time to understand the rules or limitations of a particular table game. These people are the ones who toy with ideas or various strategies on how to enliven the atmosphere for the guests while they are staying and playing in the casino. At the same time, they are ready for any inquiries or special requests that guests needs throughout their stay in the casino.

Other Occupations Available In The Gaming Industry

Some of the work occupations available in the gaming industry require a special level of skill. For example, black jack card dealers must be able to deal the cards smoothly and with precision, or else players might think that they are being cheated on the game. The skills indicated here are only useful and unique to casino gaming. Still, other occupations require skills that focus on being able to conduct financial transactions. All in all, these skills are mostly required by workers that are in contact with the guests and players. The workers mentioned above that deals cards or run table games, tends the slot machines, and handles money and tickets will need necessary skills helpful to their trades.

It is worth noting that workers are on shift rotation so each one will experience handling a specific work that will require a necessary skill. Casino establishment usually require their employees to undergo a specialized training that covers the whole casino gaming. In this training, attendees learn to cut a deck of cards smoothly, learn a few tricks with it and be able to deal it effectively along with other special skills.

There are slot key persons assigned in slot key machines that are responsible in overseeing its effective operation and supervising slot key workers. One job of the slot key person is to verify and handle the pay-off winnings of a lucky patron and reset the slot machine or refill its money contents. Another job is to make decisions regarding the repair of the slot machines.

A slot key person must be knowledgeable in different brands of slot machines. They must be able to detect a minor operational glitch in a slot machine and be capable of fixing it. In case of a major operational damage, the slot key person is also the person responsible to decide whether a slot machine needs to be removed from the floor for major repairs. Working in the floor as normal frontline personnel, the slot key persons are tasked to enforce the safety rules of the casino establishment and to report hazards to those concerned.

In operating games such as keno or bingo, there are gaming writers and runners that are tasked to take bets for the game and assist in its operation. These workers operates the device that issues random numbers, announce the numbers selected, pick-up and verify the tickets from the game patrons, calculate and distribute the game winnings.

The gaming dealers, on the other hand, are responsible for the card games such as poker, black jack, craps and roulette. The gaming dealers can be seen standing or sitting behind a table and facing the card game patrons. They will provide the dice and deal the cards to the patrons. During the card game, the gaming dealers will also monitor the patrons for any possible violation of the casino rules. In the card games, the gaming dealers must be highly skilled in their card games and are able to provide excellent customer service, especially in moments when a patron is losing most of his bet money.

The gaming dealers determine the winner of the card game, calculate and pay the winning bet while also collecting the bet money. It is a big advantage for a person that aspires to be a gaming dealer to be competent in at least two card games such as poker or black jack.

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.

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.