Best 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.

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.

• Here are the 10 best bets at craps in order of bestness. Most of these you have heard of, some may be new to you. Taking over or buying player don't bets. This is a bet that very few people know about. I first heard of it from the Captain, and it is the only way to get a mathematical edge at craps.
• Beginner craps players, if you can remember only one bet, make it the pass line bet. This is the starting bet for all craps games and has one of the lowest house edges at 1.41% and highest odds of landing (251 to 244 to be exact). This is one of the best bets craps players can make, with payout odds of 1 to 1.

These numbers just can’t be overcome in craps. The player simply does not have enough influence to the outcome of the game to do so. No strategy can change the randomness of the dice roll nor can any ‘betting strategy’ overcome the house edge and negative expected value. Among the dozens of betting options at the craps table, among the most commonly played are the place bets. They're wagers that the shooter will roll the number of your choice before rolling a 7. You're paid at 7-6 odds on winners if your number is 6 or 8, 7-5 if you bet on 5 or 9, and 9-5 if you bet on 4 or 10.

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.

Most Common Numbers In Craps

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.

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.

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.

Craps Number Payouts

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

What Numbers Crap Out

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.

Can setting the dice and throwing them under control really affect the outcome of a craps game? Obviously, no one can control the outcome of the dice on every single roll. Even a Major League pitcher can't throw a perfect curve ball every time. However, they can throw that old curveball on a regular basis.

The question is, can the dice be manipulated and thrown in a certain manner to produce a regularly controlled throw? Some once-skeptical researchers are conceding that more testing is needed. For new dice players, just rolling the dice can be a bit daunting, but once you get the hang of it, it's easy. By throwing the dice in the same manner, each time, some shooters get into a rhythm that produces monstrous rolls.

The Sevens to Rolls Ratio

There are 36 combinations that can be made from of a pair of dice and six ways to attain a seven. This means that, with a random roll, the mathematical probability of a seven appearing will be once in every six rolls, which is a 'Sevens to Rolls Ratio (SRR)' of 6. The house edge is calculated with this ratio.

Best Numbers To Play In Craps

If you throw the dice 42 times and roll seven 7's, you have a Sevens to Rolls Ratio of 6 (42/7 = 6). If, however, you have one non-random roll and throw seven 7s in 43 rolls, you have an SRR of 6.14. This is enough to negate the house edge on the 6 and 8 place bets. Just one controlled throw out of every 43 rolls of the dice would eliminate the house edge and yield a break-even game.

How to Control the Dice

Controlled throwing consists of several components. How you set the dice can affect their outcome. One of the most popular sets is the 3-Vm where you have threes in a 'V' formation. This gives you the hard six (3 and 3) on top, the six, (5 and 1) on the front, the eight on one (6 and 2) on the back and the Hard eight (4 and 4) on the bottom. There are no sevens showing on the dice with this set.

After setting the dice you must use a smooth delivery that is strong enough to get the dice to the end of the table but without too much force that will cause them to bounce hard against the back of the table. You also want to make sure that you follow through with your throw. You want to practice so you are throwing the dice the same way each time. Your goal is to throw numbers while avoiding the seven. Throwing the same way can produce repeating numbers.

Best Numbers In Craps

Practice Makes Perfect

For those interested in learning more about dice control, The Golden Touch Dice Control Revolution by Frank Scoblete and Dominator and Wong on Dice by Stanford Wong. These books can teach you the basics but the rest depends on how much effort you put into practicing.

The controlled throwing of dice is a physical skill which requires hours of practice to master. It is not easy and some players never master it. Perfecting a controlled throw is not enough to guarantee regular wins at the craps table. You will also need to learn how to bet properly to take advantage of your edge.

Note from the author: I am an instructor for Golden Touch Craps, a company that teaches dice control seminars and I contributed to the book Golden Touch Dice Control Revolution.