Casino Games And Mathematics. Part 3.

After one more year Thorp published a book (I mentioned it at the beginning of the article) in which he rather in details, in the form comprehensible to any even a slightly literate and sensible person, set the rules of formation of a winning strategy. But the publication of the book did not only cause a quick growth of those willing to enrich themselves at the cost of gambling houses’ owners, as well as allowed the latter ones to understand the main reason of effectiveness of the developed by Thorp strategy.

First of all, casinos’ owners understood at last that it was necessary to introduce the following obligatory point into the rules of the game: cards are to be thoroughly shuffled after each game! If this rule is rigorously observed, then a winning strategy of Thorp cannot be applied, since the calculation of probabilities of extracting one or another card from a pack was based on the knowledge of the fact that some cards would already not appear in the game!

But what does it mean to have thoroughly shuffled” cards? Usually in gambling houses the process of thoroughly shuffling” presupposes the process when a croupier, one of the gamblers or, that is still oftener seen of late, a special automatic device makes a certain number of more or less monotonous movements with a pack (the number of which varies from 10 to 20-25, as a rule). Each of these movements changes the arrangement of cards in a pack. As mathematicians say, as a result of each movement with cards a kind of substitution” is made. But is it really so that as a result of such 10-25 movements a pack is thoroughly shuffled, and in particular, if there are 52 cards in a pack then a probability of the fact that, for instance, an upper card will appear to be a queen will be equal to 1/13? In other words, if we will, thus, for example, shuffle cards 130 times, then the quality of our shuffling will turn out to be more thorough” if the number of times of the queen’s appearance on top out of these 130 times will be closer to 10.

Strictly mathematically it is possible to prove that in case our movements appear to be exactly similar (monotonous) then such a method of shuffling cards is not satisfactory. At this it is still worse if the so called “order of substitution” is less, i.e. less is the number of these movements (substitutions) after which the cards are located in the same order they were from the start of a pack shuffling. In fact, if this number equals to t, then repeating exactly similar movements any number of times we, for all our wish, can not get more t different positioning of cards in a pack, or, using mathematical terms, not more t different combinations of cards.

Certainly, in reality, shuffling of cards does not come down to recurrence of the same movements. But even if we assume that a shuffling person (or an automatic device) makes casual movements at which there can appear with a certain probability all possible arrangements of cards in a pack at each single movement, the question of “quality” of such mixing turns out to be far from simple. This question is especially interesting from the practical point of view that the majority of notorious crooked gamblers achieve phenomenal success using the circumstance, that seemingly “careful shuffling” of cards actually is not such!

Mathematics helps to clear a situation with regard to this issue as well. In the work Gambling and Probability Theory” A.Reni presents mathematical calculations allowing him to draw the following practical conclusion: ” If all movements of a shuffling person are casual, so, basically, while shuffling a pack there can be any substitution of cards, and if the number of such movements is large enough, reasonably it is possible to consider a pack “carefully reshuffled”. Analyzing these words, it is possible to notice, that, firstly, the conclusion about “quality” of shuffling has an essentially likelihood character (“reasonably”), and, secondly, that the number of movements should be rather large (A.Reni prefers not to consider a question of what is understood as “rather a large number”). It is clear, however, that the necessary number at least a sequence higher than those 10-25 movements usually applied in a real game situation. Besides, it is not that simple “to test” movements of a shuffling person (let alone the automatic device) for “accidence”!

Summing it all up, let’s come back to a question which has been the headline of the article. Certainly, it would be reckless to think that knowledge of maths can help a gambler work out a winning strategy even in such an easy game like twenty-one. Thorp succeeded in doing it only by using imperfection (temporary!) of the then used rules. We can also point out that one shouldn’t expect that maths will be able to provide a gambler at least with a nonlosing strategy. But on the other hand, understanding of mathematical aspects connected with gambling games will undoubtedly help a gambler to avoid the most unprofitable situations, in particular, not to become a victim of fraud as it takes place with the problem of cards shuffling”, for example. Apart from that, an impossibility of creation of a winning strategy for all “cases” not in the least prevents a mathematically advanced” gambler to choose whenever possible the best” decision in each particular game situation and within the bounds allowed by “Dame Fortune” not only to enjoy the very process of the Game, as well as its result.

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.

Casino Launches New Free Bonus

Casino Par is making it easier than ever to stick your feet in the online gaming pool. Why do you need to put up with the smoke-filled rooms, the crowded tables, and the exorbitant prices, when you can enjoy the skills and challenge from the comfort of your own home? At Casino Par, you can play dozens of casino games, benefit from cash-prize winnings, and even receive free chances to play just for signing up.

With the new $100 Free No Deposit Bonus, the risks are lower than ever. If you have never joined the online gaming world, you can break through without even having to provide the initial upfront investment. However, before you take the step, make sure you have read and understood these bonus requirements as well as what to expect from the promotion:

Due to the size of the bonus, and your increased chances at winning, only one account is allowed per household.

With thirty times rollover and thirty one active days of betting at least $5 per day, this means you will have plenty of chances to improve your skills and make online gaming a continually more profitable experience.
You can expect a maximum payout of $50.

The following games: roulette, blackjack, craps, baccarat, or pai-gow poker will not be used in the rollover.
Payments are made every day, and the next recipient could very well be you. Expect payment forms through money bookers or Western Union for clients in the United States.

Got an E-mail address? It must be validated for participation.

Due to jurisdiction requirements, players from Poland, Ukraine, Turkey and Argentina may not qualify for this bonus.

We welcome participation from Spanish players, and invite as many Spanish-speakers as possible to participate. However, we are only able to distribute rules in English.

While the bonus does provide a risk-free means for you to participate, only the winnings are cashable.

Casino Par launched this initiative to encourage more onlookers, who in the past have been curious to participate in online gaming to take that step. Seasoned pros are also welcome, and the No Deposit Bonus is the perfect way for everyone to satisfy their curiosities without having to put anything on the line.

And one of the key benefits of gaming at Casino Par that will keep you coming back is the variety. There are over 24 slot machines, 35 live poker and electronic video games, and 16 popular table games. Whether you are in the mood for roulette, craps, or blackjack, there are familiar games that will have you accustomed and ready to win in no time.

So break free from tight regulations and cramped quarters. The games you love at the casino are all available to you online with real stakes, where you can win real money. And to get started, you do not even have to cough up one dime of your own funds. Casino Par’s bonus program handles it for you, so you can get back to the business of winning.

Slot Machines For Casino Gambling People

There’s a lot of available games to play inside a casino whenever somebody wants to go Casino Gambling. A gambler could pick to play card games, roulettes, and other games that have evolved over time. But among these, slot machines remain to be one of the favorites of people who love Casino Gambling.

Slot machines have been around almost instantaneously as casinos. The very first machine was created in 1887. It featured the commonly known configuration of the machine. This one-armed bandit” was also able to feature an automated system that enabled it to simplify the payout mechanism of the machine. This became popular and soon found its way into every local bar or saloon at that time. Thus, possibly initiating the beginning of Casino Gambling.

Today, variations in the popular machine have become an act of creativity for its developers. Different machines come up with very different themes. The variations could go as creative as using pirate themes, geometric shapes, just to name a few. This is probably the reason why in Britain, slot machines are more commonly called as the fruit machines”. But whatever theme developers might come up with, the basic principle behind it still remains. The characters and the number of lines might change, but nevertheless, they still follow the original game structuring of its origin. It adds to the flavor of course, that Casino Gambling people are able to enjoy the machines they are betting on, given that they have evolved to become more fun.

The development of the slot machine did not come without myths surrounding it. Some Casino Gambling people believe that certain machines become either hot” or cold”, depending on the number hits or wins a particular machine has given. Although myths such as this have crept its way throughout different places, the odds of winning on a standard slot machine is determined by an RNG or Random Number Generator. This means that on standardized machines, the odds of winning is always the same.

There are however, some machines that are specifically programmed to increase the probability of winning. Depending on the state laws that govern a particular casino, Casino Gambling on slot machines are required to give out what is called a payout percentage. Usually, the payout percentage is somewhere between 82 to 98 percent. But in the case of Nevada where state laws are not the same as others, the baseline payout percentage of machines is set to 75. This means that supposing one spin costs $1, after 1,000,000 spins have been played, the machine should have at least returned an average of $750,000 to the players. And so goes for other machines that have a different payout percentage set.

Other machines that are commonly seen when going Casino Gambling are those that give out huge jackpot prizes. The machines that could give out as much as $7,000,000, are linked in a network of different machines. The network could also extend to other casinos, enabling a link between one casino’s slot machines and the other’s. However, because of the large jackpot prize being allotted by these systems, the usual case is that the payout percentage is smaller than the one from a single machine.

Casino Gambling is still predominantly based on probability. Although this is sometimes preset by programs that are usually required by state laws, the odds of winning on a slot machine and any other Casino Gambling endeavor still requires a certain amount of luck to pull off.

Casino Is The Temple Of Games.

An individual plays only when he is human in the full sense of the word, and he can be wholly human only when he is playing”. Friedrich Schiller

The history tells us that in 49 B.C. the famous ancient Roman commander Julius Caesar, having won brilliant victories over barbarian galls, wanted to seize supreme power in the Eternal City. Then the frightened senators forbade him and his troops to return to Italy.

Without hesitations, the commander announced about his decision regarding the senate ban by saying “Alea jacta est” (“The die has been cast”) and crossed the border river Rubicon. This led to lingering civil wars in Rome, which became one of the most significant events in ancient history.

The words of the ferocious dictator became proverbial, however, today there is hardly a person who thinks about its real meaning. As it turned out, the Great Caesar actually cast the dice. So great was his passion to gambling, that he deeply believed in the magic ability of the dice to predict the future.

The public opinion hardly favors gamble and everything connected with it. Conversely, in those times the word “player” was nearly a swearword – so huge was the contempt of the majority of people to those who gave the game its due.

But at the same time ancient people understood perfectly well that the thirst for gambling could not be eradicated. The Greeks with their characteristic rich imagination invented a myth about the goddess of the fate Tyche (the Romans called her Fortune”), who gave birth to Zeus’ daughter, and this girl was endowed with the gift of inventing various dangerous amusements, which caused the people to lose a lot of money, cheat, scuffle and committed suicides.

Tyche loved her daughter and thus winked at her cruel pranks. She even presented her with a large beautiful house, to which her daughter allured the most credulous players to make them miserable.
More than two thousand years passed since those times, and today hardly anyone believes in fortune-telling by throwing lot and myths about the goddess Tyche, but there is one thing that has not changed. It is the human need for the game. This unquenchable desire stipulated for the fact that in the course of time special premises were built for gambling as if the ancient Greek legend came true.

In these establishments visitors played with each other in these and paid a part of their winnings to the owner – or played with owner and then, if they lost, they were to pay the whole amount of the bet to the casino owner. Approximately in the 16th century such establishments came to be called by the Italian word “casino”, which has not changed its meaning up to now.

Gambling houses irrepressibly attracted people with different characters, different talents and varying financial possibilities. The list of famous casino frequenters, compiled by the largest casinos in Europe, includes such celebrities as chancellor Bismarck, composers Berlioz and Brahms, the writer Dostoyevskiy, the poet Mayakovsky and the automobile king Citroen.

Reverberating fame, however, did not prevent these people from insidious tricks of Fortune. Admittedly, some celebrities were often lucky and they won a lot. For example, Citroen was such a lucky player. He loved to play for high stakes, in order to impress other rich men. Journalists never grew tired of writing that the automobile king is as lucky on the green cloth, as in business.

Others mostly lost. For instance, Mayakovskiy was such an unlucky fellow. He loved billiards, cards and particularly the roulette. During his trips abroad the poet run into unprecedented debts, because he was lucky only at billiard table, but by no means in the roulette.

Gambling houses are known not only by their frequenters, but also by various legends that surround these establishments. The most enduring is the story how a certain Frenchman monsieur Blanchard won twice in “Casino Monte-Carlo”. When he intended to enter this casino for the first time, his hat was spoilt by the dove. Blanchard interpreted this as a good sign and was right. The player managed to win several thousands. Then he intended to go to casino once again, but on condition that a bird would spoil his hat for one more time.

He had to wait for the new dove for several days, but his expectations paid for themselves. The Frenchman was lucky that time and he won even more than before. After this, the doves displayed no interest in Blanchard and he could not win. However, all inveterate players believe that if the bird marks you before the visit to the gambling house is a true sign of good luck.