Dice Numbers In Craps

Craps is some of the most fun you'll have in the casino. However, if you want to be an educated craps player, you'll need to understand some of the probability and odds involved with rolling a pair of dice.

Using the 4/5 hardways dice set, if you were to keep the dice on-axis, but not able to fully control the number of pitches of each die, then your chance of hitting a 7 go from 16.67% all the way up to 25% with that dice set. Here's a collection of our favorite names for dice combinations in craps. Because the number seven is the most frequently rolled number on the dice, it has the most nicknames. Sevens, by the way, are jerks, except on what's called the 'come-out roll.'. With the axial model of dice control the number of possible combinations of the dice is reduced from thirty-six to sixteen. With 100% axis control there are only four faces that can come up on each die when rolled on axis. Additionally, under this model you would never hear the stick person call two, three, or twelve craps. The All Sevens Set is the most popular dice set currently being used at the craps tables on the Come-Out roll. It has the ‘seven' showing on all sides and if executed correctly, it will give you the best chance of hitting a natural (7) or (11) and winning on the Come-Out. The shooter has just received the dice and is on his come-out roll. If he rolls any of the point numbers above on his come-out roll, that constitutes the 1-count. If he rolls a 2, 3, 7, 11, or 12 on the come-out, the count has not started yet.

Craps is always played with two dice, each of which is shaped like a cube less than an inch wide. Unlike the dice you'll buy at your local game store for board games or RPGs, the dice used in craps have sharp edges and pointed corners.

Craps dice are also bigger than the dice you'll find in a game like Yahtzee or Monopoly. Most of the time, a casino will imprint their logo on the dice they're using, too. The dice are red, but they're also translucent, so you can see that there are no weights attached.

Craps shooters often get on hot streaks. If a shooter gets on too hot a streak, the boxman will pause the game to examine the dice to make sure there's no funny business going on.

The number of possible combinations on a pair of dice is what the game is built around. That's also the subject of this post: how the dice combinations work in a game of craps.

What Combinations Are There?

Each die has six sides, and they're numbered from 1 through 6, using dots. If you add the numbers on opposite sides of the dice together, you always get seven. So the 1 and the 6 are opposite each other, the 2 and the 5 are opposite each other, and the 3 and the 4 are opposite each other.

You have a total of 36 possible combinations – you have six possible combinations on one die and six possible combinations on the other die. Out of these 36 possible combinations, you have 11 possible totals.

Here are the possibilities:

1. A total of 2, which can be made up of only one combination: a 1 on each die
2. A total of 3, which can be made up of two different combinations: a 1 on the first die and a 2 on the second die; or a 2 on the first die and a 1 on the second die
3. A total of 4, which can be made up of three different combinations: 1 – 3, 2 – 2, 3 – 1
4. A total of 5, which can be made up of four different combinations: 1 – 4, 2 – 3, 3 – 2, 4 – 1
5. A total of 6, which can be made up of five different combinations: 1 – 5, 2 – 4, 3 – 3, 4 – 2, 5 – 1
6. A total of 7, which can be made up of six different combinations: 1 – 6, 2 – 5, 3 – 4, 4 – 3, 5 – 2, 1 – 6
7. A total of 8, which can be made up of five different combinations: 2 – 6, 3 – 5, 4 – 4, 5 – 3, 6 – 2
8. A total of 9, which can be made up of four different combinations: 3 – 6, 4 – 5, 5 – 4, 6 – 3
9. A total of 10, which can be made up of three different combinations: 4 – 6, 5 – 5, 6 – 4
10. A total of 11, which can be made up of two different combinations: 5 – 6, 6 – 5
11. A total of 12, which be made up of only one combination: a 6 on each die

If you look at this closely, you'll notice that it makes a symmetrical bell curve. Also, the number of combinations that create a specific total can be divided by 36 to get the probability of getting that total.

A Note on Probability

Probability is a way to measure how likely it is that an event will occur. For our purposes, an event is a total on two dice.

Probability is just a ratio comparing the number of ways something can happen with the total number of possible events.

Six divided by 36 is the same as 1/6, which is also the same at 16.67%.

When it comes to craps, it's often useful to use odds as your preferred format for expressing probability. To do that, you just compare the number of ways something can't happen with the number of ways it can. For example, the odds of rolling a 7 are 5 to 1. They're actually 30 to six, but you reduce, just like you would a fraction.

You can compare the probability of winning a bet with the payout odds to see what kind of mathematical edge your land-based casino has on a specific bet.

This is the beginning of craps wisdom.

The Point Numbers

The point numbers are 4, 5, 6, 8, 9, and 10.

The 5 and the 9 have four possible combinations, and the 6 and the 8 have five possible combinations.

The odds of a 7 coming up before a 4 is easy to calculate. You have six possible combinations totaling 7 versus three possible combinations totaling 4.

That's 2 to 1 odds.

The odds are the same for rolling a 10.

The odds of a 7 coming up before a 5 (or a 9) are six versus four, or 3 to 2 odds.

The odds of a 7 coming up before a 6 (or an 8) are six versus five, or 6 to 5 odds.

When the shooter makes a point, it's his job to roll that point total again before rolling a 7.

Now, you know the odds that he'll succeed.

Proposition Bets

One of the worst bets you can make at a craps table is a proposition bet. This is usually a bet on a specific total on the next roll. Depending on the number, the odds might look like the following examples.

If you're looking at a 2 (snake eyes), the odds of winning are 35 to 1.

If you're looking at a 12, you face the same odds.

If you're looking at a 3, the odds of winning are 17 to 1. The same holds true for a total of 11.

If you're betting on 'any 7,' the odds of winning are 5 to 1.

If these bets paid off at those odds, you'd be facing a house edge of zero. If you played long enough, you'd break even or come close to tie.

Dice Numbers In Craps Machine

But the casino isn't in the business of breaking even. It's in the money of making a profit.

That's why they set the payouts for these proposition bets much lower than the odds of winning them.

Statistically, 36 bets of $100 each would mean losing $3500 on your 35 losing rolls and winning $3000 on your one winning roll.

Your net loss is $500.

Average that out by 36 rolls of the dice, and you've lost an average of $13.89 per bet or 13.89% of your action.

That's the house edge, and it's a huge number.

Dice Numbers In Craps Games

The 'any 7' bet is another proposition bet which is always a one-roll bet, by the way. It's a bet that the total will be 7 on the next roll.

The odds of winning this one are 5 to 1, but the payout is only 4 to 1.

You can calculate the house edge on this bet easily, too.

Assume six perfect rolls betting $100 each.

You'll lose five of those bets for a total of $500 lost.

On the one bet you win, you'll get a $400 payout.

Your net loss over six rolls of the dice is $100.

Divide that by six, and you can see that the house edge on the any 7 bet is 16.67%.

The pass line bet has a house edge of 1.41%.

On average, over enough rolls of the dice, you should lose $1.41 every time you place a $100 bet on the pass line.

But if you bet that same $100 on any 7, you'd lose $16.67.

Which one of those sounds like the better bet to you?

Conclusion

That's as good an introduction to the dice combinations in craps as you'll find. Once you understand the math in this blog post, you can figure out everything you need to know about every bet at the table.