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.

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.

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.