Online casinos are becoming more and more popular for use as an enjoyable at home hobby for many people worldwide. There are many different types of online casinos available to users, but the best decision on which one to use is an educated decision. Looking into the reputation of the software provider for each of these online casino sites will be a necessary step if you want to ensure that you aren’t getting ripped off. There are many different games available in online casinos including slots, blackjack, and roulette.Slots – addicted to the one armed bandit!o Online slots is much like traditional slots which mocks the three-reel or five-reel slot machines found in a stand alone casino.o Slots have been referred to as one arm bandits because of their ability to get you hooked and take all of your money.o Slots is a very popular game and even more-so popular in online casinos.o The basics of slots are that you pull the arm and try to get a combination of winning symbols in order to win the jackpot.Blackjack – a game of the proso Blackjack is a basic table game that is found in many stand alone casinos that involves cards and numbers.o The goal of blackjack is to get as close to a total card count of 21 as possible, without going over. The player with the least cards who achieves this is a winner.o Blackjack has been referred to as the most widely played betting game in the world.o The best way to win at blackjack is to get dealt a winning hand with the first two cards dealt to you.Roulette – let’s go another round!o Roulette involves a ball that spins on a wheel that is marked with numbers in alternating colors of red and blacko A bet is placed on the number and color that you expect to wino Your winnings are based on where the ball stopso Players can also place bets on ranges of numbers or odd and even number choices.o The payout depends on the likelihood of the bet, or the odds of that choice.o The player or players with winning picks receive the winnings in the pot.There are many popular online casino games including slots, blackjacks, roulette, video poker, and many more. The most widely played game tends to be blackjack but different gamblers have their own specific preferences. Depending on the amount of brainpower you want to spend, you will be able to find a great online casino game that will help you enjoy your free time at home. Whether you desire playing games based on luck and random numbers like games such as slots or roulette, or you like playing table games like blackjack, there is a casino game available that you are sure to love.
“Teaching and learning are not the simple transmission of a set body of knowledge from an authoritarian teacher and to a passive classroom of students.” -Bill Gates on Education ReformWhether or not you like or agree with Bill Gates, you have to acknowledge his business and individual successes, and his passion for education reform. One thing that we should all agree upon is that the status quo is not acceptable. We need to find new ways to engage students at critical points in their development to insure that FUNDAMENTALS are not just learned and understood, but become second nature to them. Back before calculator were invented, students had to memorize multiplication tables. How many 5th graders today can rip out the multiplication tables as well as their parents?Some private schools and even charter schools that do not have their hands tied by the same constraints as general public schools have implemented new techniques designed to engage their students by introducing practical applications to fundamental mathematics and statistics. One of these techniques is the use of casino games.Games of most any type capture the attention of students and adults alike. Take the game of Monopoly for example…the rule are laid out, the players each formulate their own individual strategy based upon the rules, there is an element of chance with the dice and the cards, and there is ultimately a winner. These are the primary element of just about any ‘game’, and games that help teach while in the process of playing them are a Win-Win for everyone. The one feature of all casino games is that they have all been developed by mathematicians and time tested to produce a statistical advantage for the casino, otherwise places like Las Vegas and Atlantic City wouldn’t exist. The fun part for the students is in learning and playing the games (not for real money of course), and CRACKING THE CODE of the statistical house advantage. Besides for learning mathematics and statistics, they will also learn that they CAN’T WIN in the long run!
Examples of Casino Game MathRoulette is a popular casino game and probably the easiest example for illustrating mathematics and statistics. The roulette wheel has the numbers 1-36 plus 0 and 00 making for a total of 38 possible outcomes from a single spin. If you place a bet on a single number on the board and win, the casino will pay you 35-1. In this example, the casino has a statistical advantage of 5.26%. How did we get that? There is a probability of 1/38 that the player wins 35 times the bet, and a 37/38 chance that the player loses their bet. The expected value is:−137⁄38 + 351⁄38 = −0.0526 (5.26% house edge)The ‘House Edge’ is what keeps casinos alive and well. It means that for every $1 bet the casino will statistically make 5.26 cents on this particular bet.Another bet in the game of roulette is called the “Top Line” where the player places a single wager which covers 1,2,3,0,00 (five numbers) and will pay 6-1 if any of those numbers are spun. In this case, the expected value is:-1x 33⁄38 + 65⁄38 = −0.0789 (7.89% house edge)Which bet will cost the player the most money in the long run?Every bet on the roulette wheel (and on virtually every bet on every game in a casino) has a house edge, so more than others as you can see.Another example is the game of Craps where 2-dice are used. Understanding the probabilities of rolling a given number using a pair of dice is critical to being able to calculate the house edge on any given bet.
2 (1): 1-13 (2): 1-2, 2-14 (3): 1-3, 2-2, 3-15 (4): 1-4, 2-3, 3-2, 4-16 (5): 1-5, 2-4, 3-3, 4-2, 5-17 (6): 1-6, 2-5, 3-4, 4-3, 5-2, 6-18 (5): 2-6, 3-5, 4-4, 5-3, 6-29 (4): 3-6, 4-5, 5-4, 6-310 (3): 4-6, 5-5, 6-411 (2): 5-6, 6-512 (1): 6-6
Two dice with six sides each which produces 6×6=36 possible combinations with symmetrical distribution of the numbers. For a one roll bet on the number 12 the casino will pay 30-1. What is the probability of rolling a 12? How do you calculate the house edge on this bet?
Endless Possibilities for WorkshopsThese examples show just a few of the bets on a few of the more popular casino games. These are the easy ones to illustrate and calculate. Throw cards and slot machines with virtual reels and jackpots into the mix and you will have an endless array of practical examples ever increase complexity into the underlying calculations. The professional dealers with iHostPoker have volunteered their time to perform educational workshops to assist the teachers in bringing these important disciplines to light and hopefully making a difference in the education experience for a few, and the well-being of our community as a whole.
The dream of capoting a casino is as old as the notion “casino” itself. Every gambler wants to win. Every other invents his own “system”. Every hundredth attempts to carefully analyze the game. And only the few of millions succeed.The most famous achievement in the sphere of “system” game against the casino was the so called “card counting” at blackjack – mathematically based methods of game allowing to get some advantage over the casino. The casinos, surely, knows about the existence of “counters” and are trying to oppose them – from changing the rules to banning the game. Sometimes even exceeding the limits of reason and legality. In fact, all the history of the blackjack is the struggle between the gamblers and the casino which is more clever.More than half a century passed since the first attempts of beating the casinos in blackjack, based not on the marked cards and intuition. There has been a peck of salt eaten since then, but the struggle is still going on….Mammoth.Probably the first person in history who applied mathematic analysis to the game blackjack was Jess Marcum (originally Marcovitch) was born on 30th December 1919.It happened at the turn of 1949 and 1950, when Jess, being an excellent mathematician and physicist-theorist got to Las Vegas. Then his mathematic flair prompted him that most possibly not everything depends on intuition in blackjack.Marcum started analyzing blackjack. First, the uniqueness of his attempt is that he performed absolutely all calculations with his pen on the paper, on principle without using any technologies whatever weak they might be at that time. Second he had found the solution!Jess manually developed what is now called basic strategy and counting systems ten years before someone else has done that. He counted that theoretically he had an advantage over the casino of about 3% -under the conditions of that time it was quite real. Moreover, Markum had been playing blackjack in all known to him casinos- both in the USA and abroad. His name appeared on the pages of the newspapers as an example of “lucky man” who managed to hit the jackpot.Jess Markum also went down to history as probably the first man thrown out from the casino because of cards. Though at that time casinos did not understand that such system existed. Jess lived in Las Vegas for about a year. The casino owners exchanged the information when they gathered at the general meeting. And they were terrified. After that Markum was not admitted at all Vegas casinos. He went to Reno. The same story- in half a year after unbelievable “luck” the casino owners started making inquiries about the incredible gambler. Then other states and cities. Then Cuba, the Bahamas. Nobody knows how much money he has won during that time. One thing is known for sure- in fact, Jess Markum started the war between the gamblers and casinos in blackjack, that is still going on and getting more and more strained.He did not share his calculations with anyone, and completely gave up playing against casino after a wide public publication of blackjack methods by other authors.Jess Markum died in 1992, at the age of 72.The four of Neanderthals.The next effort of great influence on the blackjack math was made in 1956 by the group of four mathematicians- Roger Baldwin, Wilbert E. Cantey, Herbert Maisel and James McDermott.These people had never played in casino before, having spent a great number of m/hr, they created basic strategy of playing blackjack according to the most popular at that time rules and published it together with the calculation methods in the specialized math journal for statisticians – Journal of the American Statistical Association entitled “The Optimum Strategy In Blackjack”.They made several slight mistakes in calculations which is nothing serious taking into account their enormous contribution. A year later they issued a small book Playing Blackjack to Win, which is now a bibliography rarity.In fact their book and the article did not spark much furor, and remained almost without attention regardless of their innovative approach. However, the word almost turned out to be the key for all the gambling industry, as someone did paid close attention to the research of the excellent four.© Copyright 2006-2007 http://www.bonus-map.com