Math behind craps
Winning at Craps. Understanding the math behind a game makes the game more enjoyable. And once you understand the math behind online craps, you can start to make educated decisions about which craps bets are a good value for your gambling dollar and which ones aren’t. Math offers a unique perspective. It speeds up the amount of time it takes to see the patterns behind the best shots. For the most part, we discovered things that the players and coaches already knew—but every so often, we came across a new insight. How the Odds in Craps Are Calculated Learn all about the math and odds in the game of craps. Whether you have dabbled in the game of craps or are looking to play the game for the first time at your favorite online or land-based casino, it is important to understand the math behind the game and how the odds in craps are calculated.
Craps Payoff Formulas for House Odds and True Odds.
# of Decisions/Hour in Craps
This guide, written by casino math professor Robert Hannum , contains a brief, non-technical discussion of the basic mathematics governing casino games and shows how casinos make money from these games. The article addresses a variety of topics, including house advantage, confusion about win rates, game volatility, player value and comp policies, casino pricing mistakes, and regulatory issues.
Statistical advantages associated with the major games are also provided. Selected Bibliography About the Author. At its core the business of casino gaming is pretty simple. Casinos make money on their games because of the mathematics behind the games. It is all mathematics. With a few notable exceptions, the house always wins - in the long run - because of the mathematical advantage the casino enjoys over the player. That is what Mario Puzo was referring to in his famous novel Fools Die when his fictional casino boss character, Gronevelt, commented: We built all these hotels on percentages.
We stay rich on the percentage. You can lose faith in everything, religion and God, women and love, good and evil, war and peace.
But the percentage will always stand fast. Puzo is, of course, right on the money about casino gaming. Without the "edge," casinos would not exist. With this edge, and because of a famous mathematical result called the law of large numbers, a casino is guaranteed to win in the long run. Why is Mathematics Important? Critics of the gaming industry have long accused it of creating the name "gaming" and using this as more politically correct than calling itself the "gambling industry.
eaten, sucked, licked, nibbled, or otherwise inserted a used, unwashed piece of groinal underwear into your mouth while said underwear was not being worn at the time. 4 (only surviving copy) Xerox X9700 laser printer hardcopy. After a short while I shot come down her mouth. - Увы. Я успокоила, приласкала её и соблазнила, склонила к розовой любви, пообещав при этом, что она будет первой, как только совращу.
И сразу же захотелось подправить ему физиономию ноготками: вот ведь сволочь, я тут безумный поступок совершаю, а он - разумная, практичная.
An event is a collection of outcomes associated with some activity. The probability of an event is a measure of how likely the event is to occur. The higher the probability of the event, the more likely the event is to occur.
In many practical situations the outcomes that comprise an event are elementary outcomes. These are outcomes that cannot be further subdivided into simpler outcomes.
In these cases, the probability of the event can be found by dividing the number of outcomes favorable to the event by the total number of outcomes possible. We are assuming that the number of outcomes possible is finite. Suppose you shuffle a deck of cards and randomly draw one card. Let E be the event of drawing an ace. A deck has 52 cards, including 4 aces. To minimize the chance of making mistakes, you should ensure that the outcomes you choose to look at are elementary outcomes.
The next example illustrates this. Flip two coins simultaneously. What is the probability of a mismatch? Thus, the a , b , and c outcomes are not equally likely.
Imagine that one of the two coins is painted red on its head and tail sides and the other is painted green on both sides. Then the elementary outcomes are given by this table. There are 38 numbers on an American roulette wheel. The numbers zero and double-zero are both green. Half of the other numbers are red, and the rest are black. If you bet on black, what is your probability of winning? Instead of discussing the probability of an event, it is sometimes more convenient to talk about the odds in favor of or the odds against an event.
If you have ever played craps, you may have heard many strange and odd terms used throughout the game. This page will serve as a dictionary of sorts with a glossary of terms listed in alphabetical order. Normally, craps terms describe a specific bet or a range of different bets.
Some of these words are also just plain jargon used by experience craps players and the dealers during announcements.
We will try to list each word in bold and then list the definition of what each term is. We also apologize ahead of time if there is a word not listed here. Any Craps - This is a type of bet where the player wagers for a craps on the next roll. A craps is a roll of a 2, 3, or Any Seven - Another kind of bet that the next roll will be a seven. Back Line - This is a jargon word and the meaning is equivalent to the "don't pass line". Base Dealer - A type of dealer at the craps table.
Typically there are two base dealers that are in charge of placing bets and paying out chips to players on the two betting areas on both sides of the table. Buy Bets - A buy bet is a special bet players can make after the point is established on a 4, 5, 6, 8, 9 or You are essentially betting on one of these numbers being rolled before the 7. Otherwise there would be even odds. Also note that this rule varies depending on the casino. Some casinos take in commission only on winning bets and others take it automatically on any buy bet.
Big 6 - Big 8 - On this bet, players wager that a six or eight will be rolled before a 7. Also, there is a place bet that players can make on these same numbers but it pays out higher at 7: Boxcars - A slang jargon word for a twelve being rolled. This consists of sixes on each die. The design and pattern on the dice looked like boxcars and that is how the slang became common.