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October 6, 2021

Using Maths to Win in a Craps Game

Aria Williams
WriterAria WilliamsWriter

Although Craps is a game of chance, using maths can help you in more rounds. That is because each die has a finite number of faces. Craps uses two dice. In fact, it is one of the few casino games where players use dice in modern casinos. Find out how understanding the maths of two dice can help you win more games in the following sections.

Using Maths to Win in a Craps Game

The Math of Dice Combinations

Before we go into the complexities of rolling two dice, let us consider each die. The six faces of the die cube have unique numbers 1-6. Therefore the chance of rolling each number on a single die is one in six. Craps uses two dice with the outcome calculated as the total of the upside faces. Following this, the math involved changes. The chances of getting specific numbers from the two dice increase. For example, to get 7, you can roll combinations of 4/3, 2/5, 6/1, 3/4, 5/2, or 1/6. Here is an outline of all outcomes with the corresponding number of possible combinations:

  • 2- 1 Combination
  • 3-2 Combinations
  • 4-3 Combinations
  • 5-4 Combinations
  • 6-5 Combinations
  • 7-6 Combinations
  • 8-5 Combinations
  • 9-4 Combinations
  • 10-3 Combinations
  • 11-2 Combinations
  • 12-1- Combination

Going by the list above, a bet on 7 is the most likely to win, followed by 6 or 8.

The Math on the Outcome Roll

You can quickly tell the bets that players are most likely to win by looking at the RTP percentages. Essentially, bets with higher RTP are easier to win than those with lower RTP. In craps, the bets with the highest RTP are “Pass” and “Don’t Pass” bets. Comparing the two, a don’t pass bet has a slightly higher RTP making it the best come-out roll to bet and win.

The Math of Odds

After the first dice roll, the point is set, and players can make odds wagers. Overall, the odds wager gives the player a 100% RTP. No casino bet can match this.

The Myth of Hot and Cold Shooters

Some players believe in hot shooters who roll the dice many times before resolving the point and cold shooters who settle craps after only a few dice rolls. Such assumptions have no foundation in maths or reality. They are misconceptions that can make you suffer losses in the long run.

Long Term Expectations

Knowing how much you can lose in the long term helps you to plan how you bet. Short-term results in craps are random. Therefore, you cannot make short-term plans.

Planning takes into account the RTP of the bet you play. Therefore, it makes sense to stick to one bet. For example, a Don’t Come bets have 98.64% RTP. A player may expect to get back 98.64% of their wagers if they stick to placing Don’t Come bets in a long betting session.

The Truth About Controlling the Dice

The myth that a player can throw dice using a particular technique to get the desired outcome is false. On the craps table, many variables affect the dice making the results completely random. Some of the variables include humidity, the surface of the table where the dice land, temperature, and wear of the dice edges. As you can see, no player can control all the variables.


Knowing how math affects the outcome in craps can help you choose a strategy that works. In addition, a deep understanding of the possible dice outcomes works to identify misconceptions. With the details shared above, you can confidently play craps in any casino.

About the author
Aria Williams
Aria Williams

Aria Williams, New Zealand's prominent voice in online casino game localization, masterfully fuses the thrilling world of gaming with the rich Kiwi spirit. Their deft touch ensures every game not only entertains but resonates deeply with the locals.

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