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.

Canadian Casinos North Of The Border For Fun & Games

Gambling in Canada expanded in leaps and bounds during the 1990′s.

Canada now boasts 59 casinos and 70 racetrack/slots venues in 7 provinces and NWT.

Provincial governments oversee gaming in each of the participating provinces.

The legal gambling age is 19 years of age. I suggest you call ahead for casino hours and location.

All information is correct at time of writing, but may change.

Nova Scotia

Casino Nova Scotia operates two locations in Halifax, 1983 Upper Water St. on the waterfront-Purdy’s Wharf and Sydney.

Quebec

All casinos have a dress code (no jeans), and no gratuities are accepted.

Casino Montreal: 1, Avenue du Casino, Montreal in Parc Des Iles. Nuance – 5 star restaurant.

Casino de Hull: 1, Blvd. du Casino, Hull. Across the river from Ottawa, Canada’s capital city.

Ontario

Contact Ontario Casino Corp. 416-326-0076 for current updates.

Charity Casinos: Four locations. All use The Winners Circle players card.

Brantford: 40 Icomm Drive, Brantford. Located 55 miles southwest of Toronto in downtown Brantford, ON. This celestial themed casino has a gift shop, a liquor license, Meteor Bar lounge and dining at the Cosmic Diner cafeteria. Open 24 hours.

Thunder Bay: 50 Cumberland St. S., Thunder Bay. Location: On the north shore of Lake Superior in Thunder Bay, ON. The area is rich in the history of mining, marine and fur trading. A sea faring themed casino of more than 14,000 square feet.

Point Edward: 2000 Venetian Blvd., Point Edward. Location: Ten blocks from Sarnia, Ont. near the Bluewater Bridge on the St. Clair River. Indoor sights of a ship’s hull, saltwater aquarium and glass bridge add to this nautical themed casino.

Casino Sault Ste. Marie: 30 Bay St. W., Sault Ste. Marie. Location: Northern Ontario approx. 400 miles north of Toronto. Great hunting and fishing in this area.

Eighteen racetracks have placed more than 9000 slots as per the provincial plan in partnership with the Ontario Lottery & Gaming Commission.

Manitoba

VLT’s available in many bars throughout Manitoba. Two of the best are:

Club Regent: 1425 Regent W., Winnipeg.
McPhillips Stn.: 484 McPhillips St., Winnipeg.

Saskatchewan

Casino Regina: Union Station, 1880 Saskatchewan Dr. is this province’s premiere casino.

Alberta

Casinos offer regular slots rather than VLT’s.

Edmonton is Canada’s fastest growing gaming city, and Casino Yellowhead is its jewel.

Home to the world’s largest shopping/entertainment complex – West Edmonton Mall.

Casino Yellowhead: Yellow Head Trail at 153rd St. located in the West Edmonton Mall.

At 73,500 sq. ft, Yellowhead is the largest casino in western Canada.

British Columbia

Great Canadian Casinos operates several casinos in BC.

Most locations offer these table games: Blackjack, Roulette, Mini-Baccarat, Red Dog, Let It Ride, Caribbean Stud Poker, Sic Bo, Texas Hold ‘Em, Seven-Card Stud Poker and slots.

Each casino is centrally located in large municipalities and offers currency exchange,food and beverage service, wheel chair accessibility and nearby public transportation.

Western Canada Lottery Corporation works in conjunction with the provinces of Alberta, Saskatchewan, Manitoba and territory of Yukon and Sport North Lottery Authority.

There are no taxes paid on lottery or casino winnings in Canada.

Being Canadian and born in Toronto, the research for this information was a labour (Canadian spelling) of love.

Choosing The Right Casino In Albuquerque For Gambling

Today, there are a number of casinos that are in or near Albuquerque that gamblers can play at. With so many local choices, there is little need for gamblers to go to Las Vegas in order to get exciting gambling action. Because there are so many choices in the state of New Mexico for casino gambling, it is helpful for players to figure out which casino to patronize. Choosing the right casino can make playing a lot more fun. And it can make gambling more rewarding as well. That is why it is important to choose well when looking for the right casino in Albuquerque to play at.

First of all, the casino in Albuquerque should have the games that the player wants to play. For example, a video poker player will want to make sure that the casino has a good selection of video poker machines. Those who want to play with slot machines should choose a casino with many different choices. Table players will want to make sure that their favorite games are offered. Most casinos will offer blackjack, roulette, and poker at a minimum for table players. Many also offer craps for those who like that game.

Secondly, the casino in Albuquerque should have a decent player’s reward program. A good rewards program will make it more fun to gamble at a particular casino. Although a rewards program will help enhance a gambler’s return on playing, players should also concentrate on the fun aspects of the rewards program as well. Many programs offer free show tickets, free meals, and free tournaments in order to entice players to return. High rollers often great special treatment with most casino rewards programs. Being treated like a VIP can be a great way to enhance the experience of gambling at a casino. Of course, it is also important to evaluate the cash bonuses that are offered by the program as well. Some casinos will offer more generous cash bonuses than others.

Another important criteria when choosing a casino in Albuquerque is look at the returns of the games being played. Most gamblers know that the house has an advantage at most or all of the games. However, a gambler will have more enjoyment when the house edge is lower. On a slot machine, it is usually impossible to figure out what the return is. However, it is possible to calculate the house edge on games such as craps, blackjack, poker, roulette, and video poker by looking at the payouts. Going to a casino with better payouts means the gambler’s money will last longer. That means more enjoyment. And that also means a higher chance of hitting the royal flush jackpot for video poker players.

When choosing a casino, many people prefer to stay at the casino’s hotel. That makes it easy to access the gaming over multiple days. Many gamblers prefer to stay at hotels that have higher quality rooms such as suites. In many cases, the casino’s reward program may offer free rooms to frequent gamblers and high rollers. It would be better to choose a casino with nicer hotel rooms if the casino is giving away free rooms. Other hotel amenities such as a spa and restaurant options may be important to some gamblers as well. Many gamblers find that they need a break from the gaming from time to time. Choosing a hotel casino with extra amenities can be well worth it.

There is a lot to think about when gamblers are choosing a casino to play at. If gamblers concentrate their play at a single casino, they can often get better rewards from the casino’s frequent gambler program. That is why it is beneficial to choose a single best casino at the beginning. And the best part is that there are a lot of great casino choices that are in or near the Albuquerque area.

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.

Information About Free Casino Slot

Most people believe that the slots are the worst bet there is in a casino. This is because earnings are not as high compared to other casino games. Some people say that this is the very reason why the slots are the favorite game of new casino players and women.nnBut this assumption is not true ? slots are not the worst bet, even when we are talking about free casino slot which can be played online. There are actually a lot of casino games which have higher house edge and lower payoffs.nnMost free casino slot machines have an average house advantage of 2% up to 15%. Looking at the reports coming from the Nevada Gaming Commission and online slots, the average is at around 8%. Now, here\’s a list of casino games and the corresponding average house advantage;nnBaccarat (tie bet): 14% Casino War (tie bet): 18% Craps (any):11% Sic Bo (depends on the bet): up to 33% Big Six: 11-24% Keno: 25-30%nnLooking from a purely mathematical point of view and ignoring player errors, we see that casinos have a higher advantage by offering the games above. Now, let\’s consider the way the games are being played and if a player is playing properly. Many games offer a low house advantage only if the game is being played properly. So if you love poker, you ought to know what kind of poker your favorite casino is offering. The better you are at a game, the higher your chances are of winning.nnThis is not true when it comes to free casino slots. Slots are so simple that the chance of making a mistake is so low. According to most \”Slots experts\” playing the maximum bet is a great idea since you will surely break even when you win – this is because no other game in a casino has a higher bet to win ratio than that of slots. Sure, you might not win every time you play free casino slot but you will always have a high chance of earning good money for a relatively low bet.nnNow let\’s talk about entertainment value – the very reason why gambling was invented in the first place. The penny slots you find at pubs and bars now have an online counterpart, and it also offers hours of entertainment – yes, this is true even if you have the smallest bankroll known to man. There are some free casino slot which offer bonuses and video slots have even more features that will keep you glued to the edge of your seats.nnSo, back to the question: are slots the worst bet in a casino? Well, if you want to get rich, then slots is certainly not the game for you. But if you are looking for entertainment and a way to earn a small amount of money, then slots are your perfect choice. Remember, however, that casino games are all games of chances. Don\’t go playing a free casino slot expecting to get a thousand dollars. Just try to relax and enjoy, who knows, you might just get a bonus.