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.

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.

Casino Gambling: When Fun Becomes Dangerous

Summer’s here! Probably, most people are all packed-up and ready for their holiday vacation. It may be a trip to an exotic Caribbean resort, a beautiful city somewhere in Europe or any wonderful place just to get over the summer heat. Yet to us, who are so hooked up to Casino Gambling, summer is a thrilling ride for another gaming fun and adventure. So, where to this time? Vegas, Atlanta or maybe somewhere international, huh? If you’re not into traveling this time, you can also have everything at your home PC. But anyway, before you start to indulge yourself into the many luxuries of Casino Gambling, you might want to think twice about firmly setting your limits this time. All right! Maybe, you already tried before and it didn’t work. But hey! Keep on trying.

A lot of people visit different casinos all year round. Whether it be in a gambling capital such as Las Vegas or simply at their home, many Americans simply cannot do without casino games. Well, this is not surprising. Casino gambling may mean you’re risking a pot of cash. Yet the betting game and tension, plus the thought of possibly winning the jackpot prize can also be your most exciting adventure ever. Of course, if you bag the gold, the experience becomes more immense.

If you’re too stressed out or bored with your work and daily routine, you definitely need to stretch out yourself and relax. Casino gambling is a great way to release all the tensions in your mind and body. When you visit a real casino, of course, the best part is your being able to enjoy the other facilities, comforts, luxuries, and entertainment offered by the gambling place.

Each time you are enticed by the thrills and fun of casino games, you need to remind yourself though about your limits. Remember the cardinal rule for gamblers? Control, control, and control! Otherwise, you’ll end up empty handed. Worse is that you can literally get hooked with casino gambling. There’s a thin line between moderate gamblers and addicts. Often, many people are too blinded by the excitement that they fail to realize they have already crossed the line. Well, not until their life starts to crumble. For, even a single night of fun can turn into a nightmare the next morning. If you haven’t been careful enough with your bets, then don’t get surprised when you’re confronted by debts the following day.

Casino games are definitely fun and relaxing, for that is their purpose – entertainment. Yet they can also be addictive especially when they are abused. Too often, it’s difficult to tell when you start to become a Casino Gambling addict. Of course, when family members or friends begin to remind you of your gambling, then it’s probably time to check yourself. Of course, do it soon before the addiction devours you and your life. Gambling addiction is also a root of many other problems in the society such as crimes and broken families. If you think you are one or if you know somebody addicted to gambling, do your responsibility of breaking the habit before it starts to break lives and families. Casino gambling is definitely relaxing and entertaining. It eases you from all tensions and pressures. Yet remember, you must always do it with great responsibility.

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.

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.