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The Game

Craps is a dice game where two dice are rolled and the sum of the dice determines the outcome.

• If the sum is a 7 or 11, you win and the game is over.
• If the sum is a 2, 3, or 12, you lose and the game is over.
• If you roll a 4, 5, 6, 8, 9, or 10, that value becomes your 'point' and you continue to roll until you re-roll your point or a 7. If you roll your point, you win; if you roll a 7, you lose.

And if you're a fan of free craps then you'll definitely want to check out the craps software simulator which is useful for helping new players learn how to play the game and can also be used by more.

Craps simulator is the most exciting, noisy and active casino table game. It is popular among players and observers, as it immerses them in the exciting atmosphere of the game. This addictive game is now available online, and you can get a shot of adrenaline from the game without leaving home. Craps essence consists in throwing dice and scoring. Craps Simulators – Game simulators are tools offered by instructors and analysts to players who want to learn about the game or perfect their strategy. Craps Lite on AppCralwr is a simple and straightforward downloadable craps game (from overhead) for people who play using iPhone and iPad.

Video: Use Real Player to listen to the instructions and watch several games to make sure you understand the game. (56k - DSL/Cable)

Some of the probabilities are easy to find. The fundamental counting principle tells us there are 6*6=36 ways to roll two dice, all of them equally likely if the dice are fair. There is only one way to roll a sum of 2 (snake eyes or a 1 on both dice), so the probability of getting a sum of 2 is 1/36. There are 4 ways to get a five (1-4, 2-3, 3-2, 4-1) so the probability of getting a five is 4/36. The probabilities of obtaining any of the first roll sums can be found fairly easily and are shown in the table below.

We can find the probability of winning, losing, or obtaining a point on the first roll of the game by adding up the probabilities for the sums that go with winning, losing, or getting a point. For example, since a 7 or an 11 is a winner on the first roll and their probabilities are 6/36 and 2/36, the probability of winning on the first roll is 6/36+2/36=8/36.

Probabilities of Winning, Losing, or Getting a Point on First Roll

The Point

The main problem with game of craps is that it can theoretically go on forever when a point is obtained on the first roll. Now, in actual practice, it doesn't. Eventually, you are going to either re-roll that point and win or roll a 7 and lose.

But, becasue you could theoretically go on forever, finding the probabilities involve an infinite geometric series. As an example, consider the case when the point is a 9 that is shown in the tree diagram to the right. Once you roll a 9, there is a 4/36=1/9 chance of rolling it again on any roll and a 6/36=1/6 chance of rolling a 7 and losing. However, there is a 13/18 chance that you will roll neither and the game will continue for another round.

There is a 1/9 chance of winning on the second roll (the first after the point), a 13/18*1/9=13/162 chance of winning on the third roll, a 13/18*13/18*1/9=169/2916 chance of winning on the fourth roll. But it doesn't stop there, it keeps going, and going, and going. Then you have to add all those probabilities up and that involves an infinite geometric series. That might not be difficult for you, but since the prerequisite for the applied statistics course is just intermediate algebra, most of the students have never seen an infinite geometric series.

So, there has to be another way.

The Simulation

This is a game that is most fun when it is simulated using actual dice. Sure, it would be possible and quicker to simulate it using a computer, but it wouldn't be nearly as fun.

Here's how the simulation works. Roll a pair of dice and record the sum in the table where it says 'Sum on first roll'. We are then going to record the result of the first roll as 'Win', 'Lose', or 'Point' in the table where it says 'Result of first roll'. If the sum is a 2, 3, 7, 11, or 12, go ahead and copy the first roll results into the overall results column and move on to the next game. If you have rolled a point, continue to roll the die until you roll either that point or a 7, but do not record the value of each of those rolls. Once you have rolled your point or a 7, then record either 'Win' or 'Lose' in the table for the overall results. You may wish to abbreviate the results as 'W', 'L', or 'P'.

The Analysis

After you have played several games (I recommend 36 since there are 36 different outcomes possible and it makes the probabilities nicer), it's time to sit back and look at what you have gathered.

First Roll Probabilities

Go through and count how many times each sum appeared as the first roll of the dice. Record it in the table below as a fraction over the total number of rolls and compare it to the theoretical probabilities we found earlier.

Are the observed probabilities close to the theoretical probabilities? They should get closer as you simulate more crap games (law of large numbers).

First Roll Outcomes

Now add the number of times you got a win, lose, or point on the first roll of the dice and write that as a fraction. If you played the game right, this can also be found by adding the probabilities of getting a win (7 or 11), lose (2, 3, or 12), or point (all else) together.

Craps Simulator No Download

Record them in the table below and compare them with the theoretical probabilities found by adding the theoretical probabilities as mentioned in the last paragraph or that we found earlier in this document.

Final Results

Craps Simulator Excel

You're probably thinking to yourself that this has been pointless. So far, we haven't found anything that we couldn't find through simple probabilities and it was much quicker and more accurate (exact instead of an approximation).

What we're really interested in finding is the final outcomes of the game; that is, the probabilities of winning or losing the whole game. Global slots online serial number. Count how many times you won and lost for the overall results and write that as a fraction over the total.

Did your results come out close to the theoretical results (found using infinite geometric series or absorbing markov chains)? You should have lost a few more games than you won. Well, after all, the casinos want to make money, don't they?

Type of Simulation

This is a simulation used to find probabilities. In this kind of simulation, you conduct an experiment and ultimately find the number of successes divided by the number of trials to find the relative frequency or the empirical probability. Success is defined as whatever you're trying to find the probability of. So, if you're looking for the probability of rolling a 6, then it is the number of 6's over the total number of rolls. If you're trying to find the probability of losing the game, then it is the number of losses divided by the total number of games.

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Return to Simulation Page

Craps is an exciting casino game with more depth than it may seem at first glance. Two dice are rolled, and the player tries to predict the exact number the dice will show or the range of numbers in which the roll outcome will fall.

As the game is heavily luck-based, well-calculated betting strategies are what you need for the greatest chances of winning. Based on RNG algorithms, craps simulator software is what can help you imitate a craps game and test your strategy over millions of randomly generated dice rolls.

Popular Casino Craps Simulator Software

There are quite a few pieces of software designed to simulate the casino craps game. Their purpose is to help a novice player learn the game and assist experienced players in testing new strategies and approaches. All these applications are available to PC craps players.

WinCraps – For Both Novices And Experts

This simulator with a comprehensive approach to the game analysis boasts of a highly convenient interface and innumerable configuration options. The app offers a broad variety of tools, which makes it suitable for both novice craps players and seasoned veterans. It’s easy to set up a test for your betting strategy and see how it performs in the short and long term, thanks to the multiple statistics screens.

Smart Craps – Simulator For Serious Players

A professional craps simulator geared towards advanced and expert players, which is why those new to the game might struggle using it. Smart Craps offers:

• a unique dice control metric;
• a professional craps simulator with astounding attention to every detail of the craps game;
• helpful wizards to assist you in setting up simulations;
• edge and risk of ruin calculators.

These and other features will come handy for a serious craps player to get a deeper knowledge of the game.

CrapsAge – Mainly For Entertainment

CrapsAge is a website dedicated to all aspects of the craps game – from the basic rules to advanced tips and strategies. It also offers a downloadable application for PC, where you can practice the game of craps and hone your skills. However, it’s rather short on features in comparison with the previous two applications.

Bets With Best Odds For Beginners, According To Craps Simulator Apps

If your goal is to win cash from a game of craps, you should aim to achieve the maximum reduction of the house edge. Certain bets have a house edge as high as 16.9%, which can lead to significant losses (especially for high-rolling players).

Wizard Of Odds Craps Simulator

A beginner’s initial focus should fall on the Pass Line bet, for which the payout odds are 1:1. As a starting and fundamental bet across all games of craps, it boasts of the second-lowest house edge – 1.41%. Your odds of winning are the highest – specifically 251:244. For a novice, this is the most favorable bet.

Craps Simulator App

There’s also the Don’t Pass bet with an even lower house edge – 1.36%. However, any simulator of a craps game will show you that you’re statistically more likely to land 7 (Pass Line wins) rather than 2 or 3 (Don’t Pass wins). There are 36 total possible combinations the two dice can show; six of them constitute a 7, and only one of them is a 2.