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Mathematical Strategy in Craps As the rolls of the dice in a game of Craps are not dependant on each other (see the independent and dependent events page), i.e. The outcome of one roll does not affect the outcome of the next roll, nor is it influenced by any previous rolls, it is not possible to develop a long-term strategy to win at Craps.
I’ve never read a blog post or an article about the game of craps or craps strategy that didn’t mention how exciting the game is.
Okay. Now that we have that out of the way.
The purpose of this post is to introduce you to the 10 most fundamental concepts in craps strategy. This is not a get rich quick scheme. I don’t have any systems to sell you.
My only interest is in helping you save money at the gambling tables and have fun while you’re doing it.
The truth is that craps is a negative expectation game. If you play long enough, you’ll eventually go broke.
But you can get more entertainment for your money if you understand some of the basics of craps strategy.
1- Start Your Craps Career by Sticking with the Most Easily Understood Bets on the Table
The basic bets in craps are the pass and don’t pass bets. These are bets on whether the shooter “succeeds” or not. These are also the best bets on the table. The house edge for each of those bets is, respectively, 1.41% and 1.36%.
Both those bets pay even money, which make them marginally less exciting than some of the other bets. But the payout isn’t what’s important for each bet. It’s the house edge.
That’s a mathematical estimate of how much of each bet you expect to lose on average over the long run. It’s always expressed as a percentage.
If you bet $100 on every roll of the dice and place the pass bet every time, the casino expects your losses to average $1.41 for every bet you place.
This is exceptionally low compared to most bets at most other casino games. In fact, it’s significantly better than most of the other bets at the craps table.
At an average craps table, you’ll see about 100 rolls of the dice per hour. If you lose $1.41 on average for each of them, you’ll see an hourly loss average out to $141.
That sounds awful until you compare it to other games like slot machines, which usually have a house edge of 7% or more, or roulette, which has a house edge of 5.26%.
Most of the time I recommend taking the bet with the lowest house edge, but in craps, I think it’s so much more fun to root for the shooter that it’s worth the 0.05% difference in house edge.
2- Continue Your Craps Career by Placing One of Only 2 Bets in the Casino with a House Edge of 0%
A bet with a house edge of 0% is a bet that will break even in the long run. I only know of 2 bets in the casino with a house edge of 0%:
- 1. The double up bet in video poker
- 2. The odds bet in craps
When you’ve made a pass or don’t pass bet in craps, you can place a 2nd bet if and when the shooter sets a point. You win this 2nd bet if the shooter succeeds if you placed a pass bet, and you win it if the shooter fails if you placed a don’t pass bet.
The tricky thing about the odds bet is that it isn’t labeled on the craps table. You place the bet by putting the additional chips behind your initial pass or don’t pass bet.
Since this bet has no house edge, it’s an opportunity to get more money into action without any real long-term risk.
Some writers combine the 2 bets together for purposes of illustrating the total house edge on the 2 bets combined. I don’t see much point in doing that.
I can tell you, though, that the best strategy decision you can make in craps is to take the biggest odds bet that you can, every time it’s available.
The odds bet is part of what causes the crazy streaks of luck in the game, but that’s also part of the charm of craps.
3- Stay Far Away from the Bets in the Center of the Table
Not every bet at the craps table offers good odds. In fact, most of the bets offer lousy odds. I mentioned earlier that you can measure how good a bet on a casino game is by how low the house edge is.
Let’s take a look at the house edge for some of the bets in the middle of the craps table:
The “any 7” bet pays off 4 to 1 if the shooter rolls any total of 7 on the next roll. The odds of winning that bet, though, are 5 to 1. The difference is the house edge.
- Assume you bet $100 on any 7 for 36 rolls. And also assume that you have a perfect distribution for those rolls.
- You’ll win that bet 6 times, but you’ll lose 30 times.
- With a 4 to 1 payout, you’ll win $400 X 6, or $2400.
- But you’ll have lost $100 X $30, or $3000.
- Your net loss is $600.
- Since you placed 36 bets, you can average the amount lost into the number of bets to get your average loss per bet. In this case, it’s $16.67, which is 16.67% of $100.
And that’s just one example.
The house edge on the various bets in the center of the craps table range from 2.78% to 16.67%. None of them are good bets.
Just stick with the pass and don’t pass bets. Skip all the sucker bets in the middle of the table.
4- Steer Clear of Betting Systems Where You Increase and Decrease the Size of Your Bet Based on Previous Outcomes
You’ll sometimes see craps “experts” suggesting that you use some variation of the Martingale System for craps. The Martingale is a betting system used with even money bets at table games. You double the size of your bet after each loss until you win.
SEEMS fool-proof. But it’s not.
Here’s an example of how it might work at the craps table:
You bet $5 (the minimum in this casino) on the pass line bet, and you lose. On your next bet, you bet $10. If you win this time, you’ll recoup your $5 loss on the previous bet and have a $5 profit to show for it.
You bet $5 (the minimum in this casino) on the pass line bet, and you lose. On your next bet, you bet $10. If you win this time, you’ll recoup your $5 loss on the previous bet and have a $5 profit to show for it.
But if you lose again, you double the size of your last bet again, this time, from $10 to $20. This recoups the $5 you lost and the $10 you lost, and you have a $5 profit.
You can continue this progression as long as your money holds out and as long as your bet stays beneath the table max.
The problem with the Martingale System is that doubling the size of your bets increases your bet size far faster than you’d expect. You might think it’s hard to lose the same bet 8 or 9 times in a row, but it happens more often than you think.
When it does, you see a devastating loss. In fact, that loss will be so devastating that you’ll lose all those tiny profits you made previously.
Here’s what 8 bets in a row look like if you start with $5:
- 1. $5
- 2. $10
- 3. $20
- 4. $40
- 5. $80
- 6. $160
- 7. $320
- 8. $640
A lot of craps tables with a $5 minimum have a $500 maximum bet. If you lose 7 times in a row, you break the system and can’t continue.
Also, if you lose 7 times in a row, you’ll have lost $635 already. To place a $640 bet at this point means you’ll have put $1275 in action over the course of 8 bets.
And if you win that final bet?
You’re only up $5 for the entire session.
Betting systems like the Martingale have no way of overcoming the house edge. They seem like a good idea in the short run, but in the long run, you’ll lose just as much money (or more) using this kind of betting system as you would if you just randomly varied the size of your bets.
5- Don’t Try to Hedge Your Bets Either
You’re hedging your bets when you place a bet intended to offset the losses from another bet.
An example might make it easier to understand:
You place a $10 bet on the pass line. You simultaneously bet $2 on the “any craps” bet. (The any craps bet wins if the shooter rolls a 2, 3, or 12.)
You place a $10 bet on the pass line. You simultaneously bet $2 on the “any craps” bet. (The any craps bet wins if the shooter rolls a 2, 3, or 12.)
It’s impossible to lose with this bet. If the shooter rolls a 7 or an 11 on the come out roll, you win $10. Sure, you’ll lose the $2 any craps bet, but you’ll have a net win of $8.
If the shooter rolls a 2, 3 or 12 on the come out roll, you win $14 (7 to 1). Sure, you’ll have lost the $10 pass line bet, but you’ll have a net win of $4.
This seems like a no-brainer strategy. The problem is that it doesn’t account for when the shooter rolls a point.
How often does this happen?
- You have 36 possible outcomes in a come out roll.
- 4 of those possible outcomes are any craps. (1,1; 1,2; 2,1; 6,6).
- 8 of those possible outcomes win the pass line bet (1,6; 2,5; 3,4; 4,3; 5,2; 6,1; 5,6; 6,5).
- That’s 12 possible outcomes where you’re guaranteed a profit.
- But on the other 24 outcomes (2 out of 3 times), the shooter will set a point. In each of those cases, the “any craps” bet loses right out of the gate. You still face the house edge when the shooter tries to roll the point.
The hedge bet doesn’t change your odds of winning. It only looks that way.
Almost all craps betting systems involve raising and lowering your bets based on when you’re winning or losing. But they also often involve systems for hedging your bets.
Don’t bother unless you think it sounds like a fun way to place bets. Even then, the house edge on the any craps bet is higher than you should be willing to pay.
6- Play Craps for the Lowest Stakes that Remain Interesting for You
You can calculate how much an hour of gambling at a given game will cost (on average) by multiplying the house edge by the number of bets per hour. You multiply that by the average size of your bet to get your expected hourly loss.
In the short run, this number is meaningless. It’s just a long-term expectation, and your results will vary from that mathematical expectation. But the longer you play, the closer you’ll eventually come to seeing the mathematical expectation become a reality.
This means that in the long run, you’ll lose twice as much money betting $10 per roll as you would if you were betting $5 per roll. The bigger your bet size, the more expected loss is.
I have just as much fun at the craps table betting $5 as I do betting $10 or $20, but you might have more money than I do. (I am, after all, only a poor gambling blogger.)
Years ago, I read a great book called Poker Night by John Vorhaus. He wrote about how to choose the stakes for your poker game. If you’re playing for such low stakes that winning or losing doesn’t matter to you at all, poker is an exercise in boredom.
He suggest playing in a game based on your “gulp limit.” That’s the amount of money that would make you swallow really hard if you lost your wallet with that amount in it.
That’s the size of your starting bankroll—your gulp limit. You can back-calculate the stakes you want to play for by dividing that bankroll by 10 or 20.
If your gulp limit is $200, you should be playing for $10 or $20 per roll.
7- Find the Casinos Who Offer You the Biggest Odds Bet Multiples
Since the odds bet offsets the house edge on the pass line and don’t pass line bet in proportion to how much you wager on it, the more you bet on it, the better off you are. But casinos have a maximum bet size for the odds bet based on a multiple of your original pass or don’t pass bet.
For example, the Circus Circus Casino in Las Vegas has a minimum bet of $5 and a maximum bet of $1000. The maximum odds bet you can take is 2X the size of your pass or don’t pass bet.
If you’re betting $5 per roll, the most you can bet on the odds bet is $10. If you’re betting $1000 per roll (you high roller, you), you can bet $2000 on the odds bet.
You can find casinos in Las Vegas which allow you to take 10X or even 15X odds, but 2X is more common. You should look for casinos which offer bigger limits on the odds bet.
Some casinos have 3x 4X 5X odds bet maximums. In these casinos, you can bet 3X your original bet if the point is 4 or 10, 4X your original bet if the point is 5 or 9, and 5X your original bet if the point is 6 or 8.
This is meant to simplify payouts for the craps dealers. Those bets pay off at 2 to 1, 3 to 2, and 6 to 5, respectively.
If you make the pass line bet with the maximum odds bet at a 3X 4X 5X table, the payout is always 7 to 1 on your total action. This makes it easier for the dealer.
Still, you’re better off finding a casino that allows you to bet more than that on the odds bet.
My suggestion for the best place to play craps in Las Vegas is the Casino Royale. It’s on the Strip, and it features some of the lowest betting minimums and highest possible odds bets in Las Vegas. You can bet $2 per roll of the dice in craps, and you can place an odds bet of up to 100X, or $200.
The cumulative house edge on a pass line bet taking maximum odds drops to just 0.02%. You won’t find a bet (or combination of bets) anywhere in any casino in the world with such a low house edge—unless you’re a card counter or an expert video poker player. (Those professions are outside the scope of this post, though—sorry.)
8- Consider Learning How to Set and Control the Dice
The idea behind dice setting and dice control is that a skilled shooter can affect the probability of getting a certain total on the dice. If skill comes into play when you’re rolling the dice, craps becomes a game more like darts than roulette.
I’m skeptical of this possibility, but I’ve seen gambling writers and experts I respect who lend the idea some credence. Even if it’s possible, I don’t think it’s practical for most gamblers to try this. Here’s why:
To be able to control the dice, you’d need to practice. You can’t practice for free in a casino, so you’d need to build or buy a casino-equivalent craps table to put in your garage or basement.
Then you’d need to practice for an insane number of repetitions to have any degree of statistical certainty that your skill is in fact affecting your outcomes. Anyone can look like they have skill by getting lucky on a dozen throws of the dice in a row. You’ll need to record your results until you have confidence in your statistical results.
That’s a lot of work for something you might turn out not to be good at. It’s also a lot of work on something that might not even be possible.
I don’t know of any casinos changing their rules or game conditions to combat dice setters. So I’m skeptical of how big a problem it is.
9- Try Playing Free Craps Games Online
I shouldn’t have to go into a lot of detail about this tip for it to make sense. If you’re playing craps without risking any money, you can’t lose any money. Online casinos offer play money games where you don’t risk a thing. At a lot of these casinos, you don’t even have to register an account.
10- See if You Can Find Some Buddies to Play “Street Craps” With
Street craps is the game played in an alleyway or someone’s house. You’ll see people playing street craps in a lot of old movies.
The most important difference between street craps and casino craps is the lack of betting options. In street craps, you only have the 2 betting options—pass and don’t pass. The rules for these bets work the same as they would if you were playing in a casino.
You’re just betting against the other players.
Conclusion
I can’t imagine a game in the casino more fun than craps. Luckily, it also offers some of the best odds in the casino—IF you place the right bets. Once you learn the basics of the game, it’s easy to do well at craps at least part of the time. Just stick with the bets which have a low house edge.
The rest of what you need to know about craps strategy can be boiled down to avoiding bad strategies. The bad bets at the craps table are awful. There’s never a reason to place a bet on something as silly as “hard eight,” even though PT Anderson made a great movie with that title.
Other trap to avoid is thinking that hedging your bets or raising and lowering your bets based on previous results will do anything to help you win. Those tactics don’t work and never have.
Craps is a notoriously streaky game. This is good news and bad news. It means you can have big winning streaks. Sadly, it also means you can have fast losing streaks, too.
And the losing streaks are marginally more common than the winning streaks. That’s how a game with a negative expectation for the player works. Play long enough, and you’ll lose all your money.
But you can sure have some fun and walk away a winner from the craps table once in a while.
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The Five-Minute Craps Strategy
Want to learn one of the smartest bets in the casino in the next five minutes?I am not kidding.In the time it takes to read this report, you can learn to make a bet that beats nearly every other wager available in a casino.
Ready?Here's what you'll do -
Best Mathematical Craps Strategy
You are about to learn to make a 'Place Bet' to win on a 6.In a nutshell, this is how it works -
1. Walk up to a craps table and place $6 worth of chips on the layout and tell the dealer you want to 'place the six.'
2. Now, if the six shows on any dice roll before the 7, you win $7 (a 7 to 6 payoff)
3. If the shooter rolls a 7 before the 6, you lose your $6 bet.Any other number rolled has no effect on your wager.
4. Your wager does not normally 'work' on a shooter's come out roll(s), when he is trying to establish a point.
Thus, a 7 rolled then will not cause the loss of your bet, nor will a 6 rolled give you a win.
That's it.You now know how to make one of the best bets in the house.The house edge on this bet is a paltry 1.5%.In other words, you'll get a 98.5% chance of winning this wager.When was the last time you played on a slot machine that returned 98.5%?
If you are unfamiliar with craps, let me give you some pointers.
Craps Etiquette.If you already have casino chips in hand you can just walk up to the table, wait till the shooter throws the dice and then place your chips on the table for your wager.If you don't have any casino chips, wait until the shooter has thrown the dice and place your cash on the layout in front on you, get the dealer's attention, and tell him 'chips please.'He will give your cash to the boxman (seated at the center of the table) who will count it.The dealer will then give you chips.Place the chips in the rail in front of you.Be sure to watch your hands when reaching for your chips as it is considered very bad etiquette for your hand to touch the dice in mid air or on the table.Other players believe this brings bad luck (I am not kidding - just let the dice bounce off your hand one time and listen to the groans from the other players.)
Making the Bet.Look at the craps layout.Forget all the confusing labels.Just look for the large betting area marked 'Come.'Now after the dice have settled and the dealer has paid off winning bets and removed losing ones, place your $6 on the table in the come area and tell the dealer to 'place the six.'The dealer will pick up the chips and position them within the Six Point Box at the top of the layout.If other players are also betting the six, don't worry.The dealer will position your bet so that he knows which wager is yours.
Your Bet's Outcome.Now that your bet is up, all you have to do is wait for it to win or lose. It might take a few rolls before either a six shows which gives you a win, or a 7 is rolled, which will cause you to lose your bet.
A Winning Wager.If your bet wins, it is okay to give out a yell - because you just won!The dealer will pay off other players in turn and when it is your turn will place your $7 ofwinning chips either in the come box or in front of you at the side of the table.He may ask 'Same bet?'If you want to keep the same bet up just say 'Same bet.'If you feel like you would like to remove your bet and sit on your $7 profit, tell him 'Take my bet down.'In the event you feel very lucky you may want to double your bet.In this case, just tell the dealer, 'Press my bet.'If you do, the dealer will only return $1 of your winnings and will place $6 of your winnings with your original bet, bringing it up to $12.Now if the wager wins, you will win $14.
Flexibility.Please note that some craps bets (most notably pass line and come bets) can't be removed once they have been made.However, you have ultimate flexibility with your place bet.You can tell the dealer to 'Take down my bet on the 6' any time and he will return your bet to you.
Come out rolls. Place bets always work on every roll except come out rolls unless you call them off or have the dealer take them down.However, they are automatically 'Off' on come out rolls.You can recognize a come out roll as no point has been established, and the shooter is trying to roll a point number.Non point numbers are 2, 3, 7, 11 and 12 and anytime the dealer rolls one of these numbers, no point will be established and your place bet on the 6 will not be affected.Once the shooter has rolled a 4, 5, 6, 8, 9 or 10 (a point number) your bet will be working until it loses or you take it down.Just a reminder - The dealer will not take down a winning place bet unless you tell him to.So, if you want to walk up and play for one win, be sure to remember to tell the dealer to take your bet down after you win.
Sams town casino poker room. Okay, your five minutes are up.You can now make one of the smartest bets in the casino.
Whenever you are ready for a full fledged winning craps strategy, I have one waiting for you.The 'Automatic Craps Strategy' is one of the easiest and safest winning craps systems I have ever used.
In fact, my wife Diane even likes this system.Last year during the Christmas holidays she used this strategy to pick up a cool $9,839 in profits playing craps online.
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I don't know if you will do as well.However, I will tell you that this strategy is very, very safe and wins a high percentage of the time.
And, it is easy enough to use that, even if you don't know beans about craps, you can learn it very quickly.
If you would like to learn more about it, just follow this Link.
Best Mathematical Craps Strategy For Beginners
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