Chance Of Winning Craps
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Beginning gamblers often shy away from the craps table because the game looks complicated. It’s actually easy to play craps because the math keeps everyone honest. A rule of thumb to live by in any casino game is “the more they pay the less likely you are to win the bet”. Hence, there is no shame and a lot of wisdom in playing a conservative craps strategy. Here is a look at 12 secrets every craps player should learn to improve their game.
Craps offers one of the lowest house advantages in gaming when odds bets are involved. Even taking the lowest odds (1x) will lower the house edge to 0.85% with a pass line wager. This means that you can win more consistently in craps than just about any other casino game.1. Why are Casino Dice Special?
*Overall, the pass line bet is definitely one of the best bets on the craps table with a house edge of 1.41%. In addition, adding odds onto this wager is without a doubt the best way to extend your gambling bankroll. The pass line is simply one of the best ways to try and win big. #1: The Don’t Pass Bar.
*Paying out a massive 30/1, Craps - 2 or 12 is the top paying bet at the craps table. You have a 2.8% chance of winning. For this bet, you will have to contend with a 13.9% house edge – but the payoff is most definitely worth it. Craps - 3 or 11.
Casinos use transparent dice because they hide no flaws. Opaque dice can be manufactured to varying standards and can hide balancing flaws. Unbalanced dice do not roll randomly.
And casinos replace their dice often. Casino dice have machine-tooled straight edges. These edges eventually wear down, accumulating imperfections. Imperfections add bias to rolls.
Casino dice are larger and straighter than board gaming dice because players must throw the dice so far on a craps table. The felt top and lining help the dice bounce more randomly than a smooth table top does.
So while you may be practicing your die throws at home, you’re not going to get the same action as at a casino, especially if you never replace your practice dice.2. How the 5-Count System Works
Since 1994 craps players have debated whether the Captain’s 5-Count system is legit. This system tells you when to bet on a shooter other than yourself. Here are the 5 counts:
*Any point on the Come Out roll roll.
*Any good roll after the 1st Count roll.
*Any good roll after the 2nd Count roll.
*Any good roll after the 3rd Count roll.
*The first point rolled after the 4th Count roll.
You begin placing low bets on the shooter after he hits his 5th Count roll. If he never gets there then you never bet on that shooter. Never bet big on another shooter.
The 5-Count method reduces the number and size of bets you place on other shooters, thus reducing your overall risk. The downside of using the 5-Count method is that you watch more than play, but betting on a drunk guy to throw dice the way you want is a pretty risky bet.3. You Can Stop the Game for a Dispute
Sometimes the dice roll funny, or maybe you’re not sure you were paid correctly. Before the dice are thrown again, if you are certain something is wrong, you can stop the game. You can ask the dealers to recount or reconsider or, if you disagree with their decisions, ask to speak to the pit boss. This is an option of last resort when you are sure you are right. Casinos want to keep the table in play and will work to resolve disputes quickly but they’ll also ask troublesome or argumentative players to leave.
Stopping play is a mix of courtesy, privilege, and right. It’s not a gambling strategy, at least not a winning one.4. The More Bets You Place the Worse Your Chances of Winning
This is true in any table game, but some craps players love to place multiple bets. You’re taking on more risk, not spreading the risk, when you place several bets at the same time.5. Know the Die Roll Probabilities
In a completely random game the chances of any given number on either die being rolled is 1 in 6. The chance of rolling any combination of numbers on the dice is 1 in 36. This “1 in 36” number can mislead you. There are only 11 possible values (2 through 12) that you can roll.
“7” is the most frequent die roll combination. There are 6 ways to roll a “7”. Some writers say there are three ways to roll a “7”: 1 and 6, 2 and 5, or 3 and 4. However, the math has to account for each die separately; hence, the probability of rolling a “7” in craps is 1 in 6.
In declining order of probability, the possible combinations in craps are:
*7 (1 in 6)
*6 or 8 (5 in 36)
*5 or 9 (4 in 36)
*4 or 10 (3 in 36)
*3 or 11 (2 in 36)
*2 or 12 (1 in 36)6. The “Pass” Bet is More Likely to Pay on Come Out than the “Don’t Pass” Bet
Both Pass and Don’t Pass pay even money so you can bet either way. Still, when you look at the probability table above, the shooter has 8 chances in 36 of rolling 7 or 11 on the Come Out roll and 3 chances in 36 of rolling a 2 or 3. If you are just hoping to win on the Come Out roll, go with the “Pass” bet.7. The 6 and 8 Points Pay the Most over Time
The 6:5 odds for the 6 and 8 points are the worst and the 2:1 odds for the 4 and 10 points are the best. But the probabilities are best for the 6 and 8 and worst for the 4 and 10.
The premium on a 6:5 payoff for 6 or 8 is 20% over your bet. The premium on a 3:2 payoff for a 5 or 9 is 50% of your bet. The premium on a 2:1 payoff for a 4 or 10 is 100% of your bet. In a perfect distribution of 36 die rolls your expected total premiums are:
*5 * 20% = 100% (betting on 6 or 8)
*4 * 50% = 200% (betting on 5 or 9)
*3 * 100% = 300% (betting on 4 or 10)
Although the 300% ROI for 4/10 looks great there is a slight edge for 6/8 bettors. Because you are losing all those other bets, you lose the least amount of money with the 6/8 points. Note also that multiplying (bets + premiums) by expected wins across the board results in a 600% return. The distribution with the fewest losses is the way to bet.8. The More Complicated Your Strategy the More Risk You Take
The more you have to think about where your money goes, the odds and probabilities, and when you can bet, the more likely you will make a mistake. High risk strategies pay off less often than low risk strategies. Most experts agree that the long, slow game works best in craps, especially for non-expert players. Keep your money on the Pass Line until you’re way ahead.9. Avoid Hedge Bets
Ignore dealer calls for “any craps” bets. Your expected return declines your risk grows when you hedge bets. “Any craps” betting is a bet on a bet. This just adds conditions to your Pass Line bet. The strategic way to gamble is to minimize risk while maximizing potential return on bet. The house will drain your bankroll any way it can and hedge bets are a favored gimmick.10. Use the Tower of Hanoi Method to Manage Your Betting
The Tower of Hanoi is a math puzzle about moving stacks of disks among three pegs. You can never place a disk on a smaller disk. The Tower of Hanoi rule assumes you are willing to lose everything in your bankroll. To conserve your money and manage risk, begin by making minimum bets. Increase your bets only when your bankroll is above its starting value.
Many craps players only risk 5% of their stakes on any bet. The 5% method works well enough but you’ll eventually run into the table minimum. The Tower of Hanoi method starts with the minimum bet as a floor, not 5%. As long as your bankroll is growing you can increase your bets toward the table maximum.11. Never Return to Your Starting Stake
Let’s say your betting strategies have paid off enough that you have doubled your money. Once you reach that goal you should set a new floor. Walk away from the table if your stake drops to 150% of your original bankroll. This way you walk away a winner.
But there is another reason to do this. If you play any game too long you become tired, especially if you have been drinking. Your decision-making suffers when you are tired. Take “winner’s breaks” as often as possible so that you can give your brain a chance to rest.12. The House Edge is not Determined by the Odds
Some gamblers assume the house loses more money on the basis of the odds on a given bet. It doesn’t work that way. The game is designed to pay about the same over time on any basic bet but to dilute your return with extra bets. In other words, the house edge is determined by the math behind the game. The odds are just what they are willing to pay you to maintain that edge over time.Conclusion
Craps is a fine game for any gambler who enjoys taking risks, but you do need to understand the game. Fortunately, craps is designed for players of all experience levels. You don’t have to play all the different types of bets. And isn’t it interesting that the best strategies favor beginner-level bets anyway?Please enable JavaScript to view the comments powered by Disqus.
Chart on the possibility of each number being rolled.
When playing online Craps, it is important to understand the probability of each dice combination being rolled. Once you know what the probability is, you can work out what the house edge is on particular bets. The odds paid to you, the probability of your bet being successful and the house edge are all important factors in how lucrative Craps will be for you. Why Use a Craps Probability Chart?
The more information that you have at our disposal, the better decisions you can make. A more informed and smarter Craps player has a much better chance of winning on a regular basis. Whether you are a seasoned online craps professional or a casual players, a craps probability chart is crucial to understanding the probability of each dice roll result. With this knowledge, you can make smarter bets at the craps table.
For example, you can see on our craps probability chart that the most common number to come up after a dice roll is a seven. This is the reason that most craps professionals will recommend the pass line as the smartest bet you can make when formulating a solid craps strategy. On the other hand, you can easily see that, according to our craps probability chart, the most uncommon dice roll results are two (or snake eyes in many circles) and 12. Taking this into account, making a bet on two or 12 would likely not be the best bet that you could make.How to Use a Craps Probability Chart
Obviously, there is nothing to stop you from printing out our craps probability chart and posting it by your computer any time that you are playing craps online. However, by reading our extensive section on the rules and etiquette of craps in offline casinos, you will also find that there are no rules preventing you from printing out the craps probability chart (or copying it on paper with a pencil) and bringing it with you to your favorite offline craps casino.
Every time you are considering a bet, you can consult the craps probability chart to see if the odds match up to the amount of your bet. However, a craps probability chart is simply a tool and cannot alone formulate your entire craps strategy. Some situations require a great deal more information than a craps probability chart before determining whether or not the bet is wise. For more information, you can consult our craps strategy section if you are unsure how to discover the total odds of a bet being successful. For now, memorizing the craps probability chart is your first step towards becoming a craps professional.
The game of craps is a wonderful opportunity to enjoy an energetic casino experience. The high enthusiasm for the game is mixed with the lure of “tempting fate” with the chance of betting on dice rolls. Players and onlookers rejoice together when the shooter hits the point and satisfies several bets, or lament together when the “dice” are against them.
In addition to this, part of what craps offers interested gamblers is a simple way to work the odds of the casino to a player’s favor. Winning at craps is entirely about learning the true probabilities of certain dice rolls occurring and making sure a player has money on the rolls with the best probability. The surest way to win in craps is to maximize bets with good odds and avoid bets with very poor odds.Dice Probability
The essential starting ground for craps odds and probabilities is with the dice roll itself. Since bets are made based on the potential outcome of the dice, knowing how often, or how infrequently a number combination will occur is the foundation for betting odds in craps.
A pair of standard six-sided dice offers thirty-six possible number combinations that can occur with each roll. First, players need to understand that craps, and dice probabilities are literally roll by roll. Mathematically, what makes craps a game of chance is that every time the shooter picks up the dice, the exact same overall odds apply. There are not cumulative effects roll by roll, so the gambler’s fallacy of “what hasn’t occurred in a while is more likely to occur soon” cannot apply to craps, though many players bet like it will.
In reality, the dice odds stack in a pyramid that symmetrically pairs combinations of numbers, which have the same odds of occurring. The most frequently rolled number is a seven, which a player can mathematically expect to see once in every six rolls. This high probability is due to the fact that seven has the highest possible number of dice combinations to form it between the two dice.
The craps dice odds and probabilities list as follows:
*2 and 12 have only one way they can be formed on two dice, thus carrying odds of 35 to 1 (a one in thirty-six chance of being rolled).
*3 and 11 have two possible formations, so the odds of these appearing are 17 to 1.
*4 and 10 each have three potential combinations, improving the odds of showing either of these to 11 to 1.
*5 and 9 have four possible formations each, thus holding odds of 8 to 1.
*6 and 8 are the second most frequently rolled combinations, with five possible ways to see a six or eight on the dice. The odds of either are 6.2 to 1.
*7 has six possible formations, the most possible and gives it 5 to 1 odds of showing.
These odds are calculated by taking the number of possible formations out of thirty-six, reducing it to it’s lowest denominator and placing it in odds terms. For example, the four has three ways of being formed on the dice, thus a 3 in 36 chance of occurring or, reduced a one in twelve chance of being rolled. In odds terms one in twelve becomes 11 to 1. Understanding and remembering the dice odds is the basis for effective betting in craps.
The chance factor comes in with the fact that even though these odds are mathematically true over dozens and hundreds of rolls, and can be trusted to show in these ratios over a larger sample, they won’t “perfectly” occur with human shooters. Thus a shooter who gains six rolls can sometimes roll all six without showing a seven. This is what brings the element of risk and excitement to craps betting.Making Good Odds Bets
There are three groupings of bets that have the best odds and the lowest house edge that a craps player can come by. These are the bread and butter of a craps player’s existence, and the wisest and winningest craps players use these bets like clockwork to maximize their odds of taking home cash, not just laying it down on the table. These are the most commonly used bets, as well.
On the right bettor side are the pass bet and the come bet. Pass bets are made during the come out roll; come bets are made after the shooter has established the point. Both of these are sweeping bets that the shooter will roll seven or eleven or a point number before rolling craps, 2, 3 and 12, the low frequency numbers. Pass bets and come bets parallel each other. Both of these bets have true odds of 251 to 244. The house edge, or casino advantage on these bets is one of the lowest at 1.41 %, which means bettors placing pass or come bets have a very good chance of winning this bet.
The wrong bettor partners to the pass and come bets are the don’t pass and don’t come bets. These bets go against the shooter (and thus are sometimes disliked by players), betting that the shooter will hit craps before hitting his point or seven. The house edge on these wrong bets actually drops further to 1.36%, and the odds of these bets showing are 976 to 949.Free Odds Bets
The free odds bets that go with these are even better from an odds standpoint. The best bets to make in craps, free odds bets multiply a pass or come bet (or a don’t pass or don’t come bet). The advantage of these is the house edge gets lowered to almost zero, meaning players have a good chance of winning these bets at their actual mathematical odds. The odds bets have to be made in conjunction with the main pass/come and don’t pass/don’t come bets. On the right bettor side for pass and come odds bets, making this bet is called “taking the odds.” On the wrong bettor side, odds bets with don’t pass and don’t come bets are called “laying the odds.”
The pass odds and come odds bets have actual odds 2 to 1 on four and ten, 3 to 2 on five and nine, and 6 to 5 on six or eight. The payout ratios for these odds bets match the odds ratios for each number. On the don’t pass/don’t come odds side, the true odds are 1 to 2 against four and ten, 2 to 3 against five and nine, and 5 to 6 against six and eight. Again, the payout ratio when one of these bets wins is the same as the odds of occurrence.Place Bet OddsChance Of Winning At Craps
The third category of bets that use the dice probabilities to a great advantage are the place bets on the box numbers at the top of the craps table. Essentially, a place bet makes the same assertion as the free odds bet, that the shooter will roll one of these numbers before a seven or craps. The advantage to place bets is they can be made independently and don’t require a pass line bet first. However, the disadvantage is they payout at poorer odds than the free odds bets.
Four of the six possible place bets have a low house edge, making them still some of the better bets to make as far as player advantage. Place bets on six and eight have the third lowest house edge at 1.52%, making them very profitable bets. The odds of winning on place six and place eight bets are 6 to 5 or 45.45%. Payouts are at 7 to 6 odds. For even dollar payouts, player should bet in increments of $6 on these place bets, preventing rounding down by the casino on paying winnings.
Place bets on five and nine are also still lower house edges than most bets on the table at 4%. Players have a 40% chance of winning or 3 to 2 odds, and they payout at 7 to 5 odds. Place these bets in multiples of $5 for even dollar payouts without rounding.
Place bets on four and ten are still decent bets, but the house edge starts to climb–it’s 6.67%. The odds of winning a place four/place ten bet are 33.33% but if it does win, the payout rate is 9 to 5. These bets should also be made in $5 increments for even payout amounts.
Another advantage to place bets is that when a place b
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Beginning gamblers often shy away from the craps table because the game looks complicated. It’s actually easy to play craps because the math keeps everyone honest. A rule of thumb to live by in any casino game is “the more they pay the less likely you are to win the bet”. Hence, there is no shame and a lot of wisdom in playing a conservative craps strategy. Here is a look at 12 secrets every craps player should learn to improve their game.
Craps offers one of the lowest house advantages in gaming when odds bets are involved. Even taking the lowest odds (1x) will lower the house edge to 0.85% with a pass line wager. This means that you can win more consistently in craps than just about any other casino game.1. Why are Casino Dice Special?
*Overall, the pass line bet is definitely one of the best bets on the craps table with a house edge of 1.41%. In addition, adding odds onto this wager is without a doubt the best way to extend your gambling bankroll. The pass line is simply one of the best ways to try and win big. #1: The Don’t Pass Bar.
*Paying out a massive 30/1, Craps - 2 or 12 is the top paying bet at the craps table. You have a 2.8% chance of winning. For this bet, you will have to contend with a 13.9% house edge – but the payoff is most definitely worth it. Craps - 3 or 11.
Casinos use transparent dice because they hide no flaws. Opaque dice can be manufactured to varying standards and can hide balancing flaws. Unbalanced dice do not roll randomly.
And casinos replace their dice often. Casino dice have machine-tooled straight edges. These edges eventually wear down, accumulating imperfections. Imperfections add bias to rolls.
Casino dice are larger and straighter than board gaming dice because players must throw the dice so far on a craps table. The felt top and lining help the dice bounce more randomly than a smooth table top does.
So while you may be practicing your die throws at home, you’re not going to get the same action as at a casino, especially if you never replace your practice dice.2. How the 5-Count System Works
Since 1994 craps players have debated whether the Captain’s 5-Count system is legit. This system tells you when to bet on a shooter other than yourself. Here are the 5 counts:
*Any point on the Come Out roll roll.
*Any good roll after the 1st Count roll.
*Any good roll after the 2nd Count roll.
*Any good roll after the 3rd Count roll.
*The first point rolled after the 4th Count roll.
You begin placing low bets on the shooter after he hits his 5th Count roll. If he never gets there then you never bet on that shooter. Never bet big on another shooter.
The 5-Count method reduces the number and size of bets you place on other shooters, thus reducing your overall risk. The downside of using the 5-Count method is that you watch more than play, but betting on a drunk guy to throw dice the way you want is a pretty risky bet.3. You Can Stop the Game for a Dispute
Sometimes the dice roll funny, or maybe you’re not sure you were paid correctly. Before the dice are thrown again, if you are certain something is wrong, you can stop the game. You can ask the dealers to recount or reconsider or, if you disagree with their decisions, ask to speak to the pit boss. This is an option of last resort when you are sure you are right. Casinos want to keep the table in play and will work to resolve disputes quickly but they’ll also ask troublesome or argumentative players to leave.
Stopping play is a mix of courtesy, privilege, and right. It’s not a gambling strategy, at least not a winning one.4. The More Bets You Place the Worse Your Chances of Winning
This is true in any table game, but some craps players love to place multiple bets. You’re taking on more risk, not spreading the risk, when you place several bets at the same time.5. Know the Die Roll Probabilities
In a completely random game the chances of any given number on either die being rolled is 1 in 6. The chance of rolling any combination of numbers on the dice is 1 in 36. This “1 in 36” number can mislead you. There are only 11 possible values (2 through 12) that you can roll.
“7” is the most frequent die roll combination. There are 6 ways to roll a “7”. Some writers say there are three ways to roll a “7”: 1 and 6, 2 and 5, or 3 and 4. However, the math has to account for each die separately; hence, the probability of rolling a “7” in craps is 1 in 6.
In declining order of probability, the possible combinations in craps are:
*7 (1 in 6)
*6 or 8 (5 in 36)
*5 or 9 (4 in 36)
*4 or 10 (3 in 36)
*3 or 11 (2 in 36)
*2 or 12 (1 in 36)6. The “Pass” Bet is More Likely to Pay on Come Out than the “Don’t Pass” Bet
Both Pass and Don’t Pass pay even money so you can bet either way. Still, when you look at the probability table above, the shooter has 8 chances in 36 of rolling 7 or 11 on the Come Out roll and 3 chances in 36 of rolling a 2 or 3. If you are just hoping to win on the Come Out roll, go with the “Pass” bet.7. The 6 and 8 Points Pay the Most over Time
The 6:5 odds for the 6 and 8 points are the worst and the 2:1 odds for the 4 and 10 points are the best. But the probabilities are best for the 6 and 8 and worst for the 4 and 10.
The premium on a 6:5 payoff for 6 or 8 is 20% over your bet. The premium on a 3:2 payoff for a 5 or 9 is 50% of your bet. The premium on a 2:1 payoff for a 4 or 10 is 100% of your bet. In a perfect distribution of 36 die rolls your expected total premiums are:
*5 * 20% = 100% (betting on 6 or 8)
*4 * 50% = 200% (betting on 5 or 9)
*3 * 100% = 300% (betting on 4 or 10)
Although the 300% ROI for 4/10 looks great there is a slight edge for 6/8 bettors. Because you are losing all those other bets, you lose the least amount of money with the 6/8 points. Note also that multiplying (bets + premiums) by expected wins across the board results in a 600% return. The distribution with the fewest losses is the way to bet.8. The More Complicated Your Strategy the More Risk You Take
The more you have to think about where your money goes, the odds and probabilities, and when you can bet, the more likely you will make a mistake. High risk strategies pay off less often than low risk strategies. Most experts agree that the long, slow game works best in craps, especially for non-expert players. Keep your money on the Pass Line until you’re way ahead.9. Avoid Hedge Bets
Ignore dealer calls for “any craps” bets. Your expected return declines your risk grows when you hedge bets. “Any craps” betting is a bet on a bet. This just adds conditions to your Pass Line bet. The strategic way to gamble is to minimize risk while maximizing potential return on bet. The house will drain your bankroll any way it can and hedge bets are a favored gimmick.10. Use the Tower of Hanoi Method to Manage Your Betting
The Tower of Hanoi is a math puzzle about moving stacks of disks among three pegs. You can never place a disk on a smaller disk. The Tower of Hanoi rule assumes you are willing to lose everything in your bankroll. To conserve your money and manage risk, begin by making minimum bets. Increase your bets only when your bankroll is above its starting value.
Many craps players only risk 5% of their stakes on any bet. The 5% method works well enough but you’ll eventually run into the table minimum. The Tower of Hanoi method starts with the minimum bet as a floor, not 5%. As long as your bankroll is growing you can increase your bets toward the table maximum.11. Never Return to Your Starting Stake
Let’s say your betting strategies have paid off enough that you have doubled your money. Once you reach that goal you should set a new floor. Walk away from the table if your stake drops to 150% of your original bankroll. This way you walk away a winner.
But there is another reason to do this. If you play any game too long you become tired, especially if you have been drinking. Your decision-making suffers when you are tired. Take “winner’s breaks” as often as possible so that you can give your brain a chance to rest.12. The House Edge is not Determined by the Odds
Some gamblers assume the house loses more money on the basis of the odds on a given bet. It doesn’t work that way. The game is designed to pay about the same over time on any basic bet but to dilute your return with extra bets. In other words, the house edge is determined by the math behind the game. The odds are just what they are willing to pay you to maintain that edge over time.Conclusion
Craps is a fine game for any gambler who enjoys taking risks, but you do need to understand the game. Fortunately, craps is designed for players of all experience levels. You don’t have to play all the different types of bets. And isn’t it interesting that the best strategies favor beginner-level bets anyway?Please enable JavaScript to view the comments powered by Disqus.
Chart on the possibility of each number being rolled.
When playing online Craps, it is important to understand the probability of each dice combination being rolled. Once you know what the probability is, you can work out what the house edge is on particular bets. The odds paid to you, the probability of your bet being successful and the house edge are all important factors in how lucrative Craps will be for you. Why Use a Craps Probability Chart?
The more information that you have at our disposal, the better decisions you can make. A more informed and smarter Craps player has a much better chance of winning on a regular basis. Whether you are a seasoned online craps professional or a casual players, a craps probability chart is crucial to understanding the probability of each dice roll result. With this knowledge, you can make smarter bets at the craps table.
For example, you can see on our craps probability chart that the most common number to come up after a dice roll is a seven. This is the reason that most craps professionals will recommend the pass line as the smartest bet you can make when formulating a solid craps strategy. On the other hand, you can easily see that, according to our craps probability chart, the most uncommon dice roll results are two (or snake eyes in many circles) and 12. Taking this into account, making a bet on two or 12 would likely not be the best bet that you could make.How to Use a Craps Probability Chart
Obviously, there is nothing to stop you from printing out our craps probability chart and posting it by your computer any time that you are playing craps online. However, by reading our extensive section on the rules and etiquette of craps in offline casinos, you will also find that there are no rules preventing you from printing out the craps probability chart (or copying it on paper with a pencil) and bringing it with you to your favorite offline craps casino.
Every time you are considering a bet, you can consult the craps probability chart to see if the odds match up to the amount of your bet. However, a craps probability chart is simply a tool and cannot alone formulate your entire craps strategy. Some situations require a great deal more information than a craps probability chart before determining whether or not the bet is wise. For more information, you can consult our craps strategy section if you are unsure how to discover the total odds of a bet being successful. For now, memorizing the craps probability chart is your first step towards becoming a craps professional.
The game of craps is a wonderful opportunity to enjoy an energetic casino experience. The high enthusiasm for the game is mixed with the lure of “tempting fate” with the chance of betting on dice rolls. Players and onlookers rejoice together when the shooter hits the point and satisfies several bets, or lament together when the “dice” are against them.
In addition to this, part of what craps offers interested gamblers is a simple way to work the odds of the casino to a player’s favor. Winning at craps is entirely about learning the true probabilities of certain dice rolls occurring and making sure a player has money on the rolls with the best probability. The surest way to win in craps is to maximize bets with good odds and avoid bets with very poor odds.Dice Probability
The essential starting ground for craps odds and probabilities is with the dice roll itself. Since bets are made based on the potential outcome of the dice, knowing how often, or how infrequently a number combination will occur is the foundation for betting odds in craps.
A pair of standard six-sided dice offers thirty-six possible number combinations that can occur with each roll. First, players need to understand that craps, and dice probabilities are literally roll by roll. Mathematically, what makes craps a game of chance is that every time the shooter picks up the dice, the exact same overall odds apply. There are not cumulative effects roll by roll, so the gambler’s fallacy of “what hasn’t occurred in a while is more likely to occur soon” cannot apply to craps, though many players bet like it will.
In reality, the dice odds stack in a pyramid that symmetrically pairs combinations of numbers, which have the same odds of occurring. The most frequently rolled number is a seven, which a player can mathematically expect to see once in every six rolls. This high probability is due to the fact that seven has the highest possible number of dice combinations to form it between the two dice.
The craps dice odds and probabilities list as follows:
*2 and 12 have only one way they can be formed on two dice, thus carrying odds of 35 to 1 (a one in thirty-six chance of being rolled).
*3 and 11 have two possible formations, so the odds of these appearing are 17 to 1.
*4 and 10 each have three potential combinations, improving the odds of showing either of these to 11 to 1.
*5 and 9 have four possible formations each, thus holding odds of 8 to 1.
*6 and 8 are the second most frequently rolled combinations, with five possible ways to see a six or eight on the dice. The odds of either are 6.2 to 1.
*7 has six possible formations, the most possible and gives it 5 to 1 odds of showing.
These odds are calculated by taking the number of possible formations out of thirty-six, reducing it to it’s lowest denominator and placing it in odds terms. For example, the four has three ways of being formed on the dice, thus a 3 in 36 chance of occurring or, reduced a one in twelve chance of being rolled. In odds terms one in twelve becomes 11 to 1. Understanding and remembering the dice odds is the basis for effective betting in craps.
The chance factor comes in with the fact that even though these odds are mathematically true over dozens and hundreds of rolls, and can be trusted to show in these ratios over a larger sample, they won’t “perfectly” occur with human shooters. Thus a shooter who gains six rolls can sometimes roll all six without showing a seven. This is what brings the element of risk and excitement to craps betting.Making Good Odds Bets
There are three groupings of bets that have the best odds and the lowest house edge that a craps player can come by. These are the bread and butter of a craps player’s existence, and the wisest and winningest craps players use these bets like clockwork to maximize their odds of taking home cash, not just laying it down on the table. These are the most commonly used bets, as well.
On the right bettor side are the pass bet and the come bet. Pass bets are made during the come out roll; come bets are made after the shooter has established the point. Both of these are sweeping bets that the shooter will roll seven or eleven or a point number before rolling craps, 2, 3 and 12, the low frequency numbers. Pass bets and come bets parallel each other. Both of these bets have true odds of 251 to 244. The house edge, or casino advantage on these bets is one of the lowest at 1.41 %, which means bettors placing pass or come bets have a very good chance of winning this bet.
The wrong bettor partners to the pass and come bets are the don’t pass and don’t come bets. These bets go against the shooter (and thus are sometimes disliked by players), betting that the shooter will hit craps before hitting his point or seven. The house edge on these wrong bets actually drops further to 1.36%, and the odds of these bets showing are 976 to 949.Free Odds Bets
The free odds bets that go with these are even better from an odds standpoint. The best bets to make in craps, free odds bets multiply a pass or come bet (or a don’t pass or don’t come bet). The advantage of these is the house edge gets lowered to almost zero, meaning players have a good chance of winning these bets at their actual mathematical odds. The odds bets have to be made in conjunction with the main pass/come and don’t pass/don’t come bets. On the right bettor side for pass and come odds bets, making this bet is called “taking the odds.” On the wrong bettor side, odds bets with don’t pass and don’t come bets are called “laying the odds.”
The pass odds and come odds bets have actual odds 2 to 1 on four and ten, 3 to 2 on five and nine, and 6 to 5 on six or eight. The payout ratios for these odds bets match the odds ratios for each number. On the don’t pass/don’t come odds side, the true odds are 1 to 2 against four and ten, 2 to 3 against five and nine, and 5 to 6 against six and eight. Again, the payout ratio when one of these bets wins is the same as the odds of occurrence.Place Bet OddsChance Of Winning At Craps
The third category of bets that use the dice probabilities to a great advantage are the place bets on the box numbers at the top of the craps table. Essentially, a place bet makes the same assertion as the free odds bet, that the shooter will roll one of these numbers before a seven or craps. The advantage to place bets is they can be made independently and don’t require a pass line bet first. However, the disadvantage is they payout at poorer odds than the free odds bets.
Four of the six possible place bets have a low house edge, making them still some of the better bets to make as far as player advantage. Place bets on six and eight have the third lowest house edge at 1.52%, making them very profitable bets. The odds of winning on place six and place eight bets are 6 to 5 or 45.45%. Payouts are at 7 to 6 odds. For even dollar payouts, player should bet in increments of $6 on these place bets, preventing rounding down by the casino on paying winnings.
Place bets on five and nine are also still lower house edges than most bets on the table at 4%. Players have a 40% chance of winning or 3 to 2 odds, and they payout at 7 to 5 odds. Place these bets in multiples of $5 for even dollar payouts without rounding.
Place bets on four and ten are still decent bets, but the house edge starts to climb–it’s 6.67%. The odds of winning a place four/place ten bet are 33.33% but if it does win, the payout rate is 9 to 5. These bets should also be made in $5 increments for even payout amounts.
Another advantage to place bets is that when a place b
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