# Craps Odds and Probabilities

Players may removed or reduce this bet bet must be at least table minimum anytime before it loses. So obviously the chances of 6 and 8 being rolled amount to 10 out of 36 which translates into The game is played exactly as regular craps, but the roll distribution of the remaining cards in the CSM is slightly skewed from the normal symmetric distribution of dice. Let us demonstrate how the house edge works with an example. The red card in the red-numbered box corresponding to the red die, and the blue card in the blue-numbered box corresponding to the blue die are then turned over to form the roll on which bets are settled.

## The Dice Rolling Probabilities

It can be a tricky game indeed, especially when one is not familiar with the dice rolling probabilities and the odds. However, these can be of crucial importance here as one cannot expect to turn a profit if they do not understand which numbers are more likely to come out. Certain numbers are more likely to come out as the number of combinations that can add up to them is greater.

Others are rolled less frequently since there is a single combination that can add up to them. Thus, the only possible combination that can add up to the number 2 is 1 plus 1, so this number is less likely to get rolled. On the other hand, if you place a bet on the number 7, your chances of winning are more substantial as there are more combinations to add up to the said number — 5 plus 2, 4 plus 3 and 6 plus 1. Moreover, the possible combinations for a number and the frequency at which it is rolled, determine the odds casinos offer for winning bets placed on the number in question.

If you want to emerge a winner the next time you decide to join the craps table, it is recommended to become better acquainted with the dice combinations and the probability of rolling the numbers. At first glance, understanding the mathematical probability of rolling two dice might seem a bit intimidating. However, there is absolutely no reason to stress over it as this turns out to be a lot easier than it originally seems. In fact, the dice rolling probability resembles to a great extent that of the coin flip.

It is a common knowledge each coin has two sides so if one flips it, there are two possible outcomes — either heads or tails will come out.

Determining the dice rolling probability is based on the same principle, the only difference is there are more possible outcomes. Each of the two dices used in a game of craps have six sides. Each side has small white dots or pips on it to represent the numbers from one to six. Allows us to demonstrate how dice probability works with the following example. It is the same when you throw a single die with six sides — the probability of each of the numbers coming out is the same — 1 to 6 or Things are not much different when one is rolling two dice; only the number of possible outcomes is greater.

Each dice has six sides with numbers from 1 to 6, so the number of possible combinations, in this case, totals However, some numbers tend to come out more frequently than others as there is a greater number of combinations that can add up to them. From this, it follows that if a player throws one die so that it falls at random, the chances of this one number, for instance 2, coming out are 1 out of 6.

So the odds are 1 to 5. In other words, the chance of the number 2 being rolled is one as opposed to the five ways of losing. Provided that you use two dice, you can roll eleven different numbers , namely 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and Each throw of the two dice will result in one of these eleven numbers coming out.

Some numbers, however, are rolled more frequently as the number of combinations that add up to them is greater. Thus, there is only one possible combination for numbers 2 1 plus 1 and 12 6 plus 6 as opposed to number 7, where 3 plus 4, 1 plus 6, 5 plus 2 and their respective permutations can all add up to its total. It would be best to illustrate the eleven totals and the dice combinations that add up to them with the following chart.

Why the number of combinations that add up to each of the eleven numbers is so important? For example, if one is playing the Pass Line and a Point of 6 is established the chances of the number 6 being rolled before a seven-out occurs are more substantial than those of the number 4 with its three possible combinations.

The odds, on the other hand, determine the payouts for the different types of bets in craps. One very important aspect to consider in craps is that by its nature this game is extremely volatile since it is a negative expectation value game. Another, more complex way to explain this is to define what the house edge actually is.

The house edge percentage varies in accordance with the type of bet you place. For instance, the house edge for a Pass Line bet amounts to 1.

The higher the house edge, the less money you will be paid even if you do win. Moreover, the chances of you winning with a Yo-leven bet are smaller since only two dice combinations out of 36 add up to this number. To start a round, the shooter makes one or more "come-out" rolls. The shooter must shoot toward the farther back wall and is generally required to hit the farther back wall with both dice.

Casinos may allow a few warnings before enforcing the dice to hit the back wall and are generally lenient if at least one die hits the back wall. Both dice must be tossed in one throw. If only one die is thrown the shot is invalid. A come-out roll of 2, 3 or 12 is called "craps" or "crapping out", and anyone betting the Pass line loses. On the other hand, anyone betting the Don't Pass line on come out wins with a roll of 2 or 3 and ties pushes if a 12 is rolled.

Shooters may keep rolling after crapping out; the dice are only required to be passed if a shooter sevens out rolls a seven after a point has been established.

A come-out roll of 7 or 11 is a " natural "; the Pass line wins and Don't Pass loses. The other possible numbers are the point numbers: If the shooter rolls one of these numbers on the come-out roll, this establishes the "point" — to "pass" or "win", the point number must be rolled again before a seven.

The dealer flips a button to the "On" side and moves it to the point number signifying the second phase of the round. If the shooter "hits" the point value again any value of the dice that sum to the point will do; the shooter doesn't have to exactly repeat the exact combination of the come-out roll before rolling a seven, the Pass line wins and a new round starts.

If the shooter rolls any seven before repeating the point number a "seven-out" , the Pass line loses, the Don't Pass line wins, and the dice pass clockwise to the next new shooter for the next round. Any single roll bet is always affected win or lose by the outcome of any roll.

While the come-out roll may specifically refer to the first roll of a new shooter, any roll where no point is established may be referred to as a come-out.

By this definition the start of any new round regardless if it is the shooter's first toss can be referred to as a come-out roll. Any player can make a bet on pass or don't pass as long as a point has not been established, or come or don't come as long as a point is established.

All other bets, including an increase in odds behind the pass and don't pass lines, may be made at any time. All bets other than pass line and come may be removed or reduced any time before the bet loses.

This is known as "taking it down" in craps. Lay bet maximum are equal to the table maximum win, so if a player wishes to lay the 4 or 10, he or she may bet twice at amount of the table maximum for the win to be table maximum. Odds behind Pass, Come, Don't Pass and Don't Come may be however larger than the odds offered allows and can be greater than the table maximum in some casinos.

Don't odds are capped on the maximum allowed win some casino allow the odds bet itself to be larger than the maximum bet allowed as long as the win is capped at maximum odds. Single rolls bets can be lower than the table minimum, but the maximum bet allowed is also lower than the table maximum. The maximum allowed single roll bet is based on the maximum allowed win from a single roll.

In all the above scenarios, whenever the Pass line wins, the Don't Pass line loses, and vice versa , with one exception: The same applies to "Come" and "Don't Come" bets, discussed below. A player wishing to play craps without being the shooter should approach the craps table and first check to see if the dealer's "On" button is on any of the point numbers. In either case, all single or multi-roll proposition bets may be placed in either of the two rounds.

Between dice rolls there is a period for dealers to make payouts and collect losing bets, after which players can place new bets. The stickman monitors the action at a table and decides when to give the shooter the dice, after which no more betting is allowed. When joining the game, one should place money on the table rather than passing it directly to a dealer, the dealer's exaggerated movements during the process of "making change" or "change only" converting currency to an equivalent in casino cheques are required so that any disputes can be later reviewed against security camera footage.

The dealers will insist that the shooter roll with one hand and that the dice bounce off the far wall surrounding the table. These requirements are meant to keep the game fair preventing switching the dice or making a "controlled shot". If a die leaves the table, the shooter will usually be asked to select another die from the remaining three but can request permission to use the same die if it passes the boxman's inspection.

This requirement exists to keep the game fair and reduce the chance of loaded dice. There are many local variants of the calls made by the stickman for rolls during a craps game. These often incorporate a reminder to the dealers as to which bets to pay or collect. Rolls of 4, 6, 8, and 10 are called "hard" or "easy" e. Hard way rolls are so named because there is only one way to roll them i.

Consequently, it is more likely to roll the number in combinations easy rather than as a double hard. The shooter is required to make either a pass line bet or a Don't Pass bet if he wants to shoot. On the come out roll each player may only make one bet on the Pass or Don't Pass, but may bet both if desired. The Pass Line and Don't Pass bet is optional for any player not shooting. In rare cases, some casinos require all players to make a minimum Pass Line or Don't Pass bet if they want to make any other bet , whether they are currently shooting or not.

The fundamental bet in craps is the pass line bet, which is a bet for the shooter to win. This bet must be at least the table minimum and at most the table maximum.

The pass line bet is a contract bet. Once a pass line bet is made, it is always working and cannot be turned "Off", taken down, or reduced until a decision is reached — the point is made, or the shooter sevens out. A player may increase any corresponding odds up to the table limit behind the Pass line at any time after a point is established. Players may only bet the pass line on the come out roll when no point has been established, unless the casino allows put betting where the player can bet Pass line or increase an existing Pass line bet whenever desired and may take odds immediately if the point is already on.

A don't pass bet is a bet for the shooter to lose "seven out, line away" and is almost the opposite of the pass line bet. Like the Pass bet, this bet must be at least the table minimum and at most the table maximum. The don't pass bet is a no-contract bet. After a point is established, a player may take down or reduce a don't pass bet and any corresponding odds at any time because odds of rolling a 7 before the point is in the player's favor.

Once taken down or reduced, however, the don't pass bet may not be restored or increased. Because the shooter must have a line bet the shooter generally may not reduce a don't pass bet below the table minimum.

In Las Vegas , a majority of casinos will allow the shooter to move the bet to the pass line in lieu of taking it down, however in other areas such as Pennsylvania and Atlantic City , this is not allowed. Even though players are allowed to remove the don't pass line bet after a point has been established, the bet cannot be turned "Off" without being removed. If a player chooses to remove the don't pass line bet, he or she can no longer lay odds behind the don't pass line.

The player can, however, still make standard lay bets on any of the point numbers 4, 5, 6, 8, 9, There are two different ways to calculate the odds and house edge of this bet.

The table below gives the numbers considering that the game ends in a push when a 12 is rolled, rather than being undetermined. Betting on don't pass is often called "playing the dark side", and it is considered by some players to be in poor taste, or even taboo, because it goes directly against conventional play, winning when most of the players lose. If a 4, 5, 6, 8, 9, or 10 is thrown on the come-out roll i. This additional bet wins if the point is rolled again before a 7 is rolled the point is made and pays at the true odds of 2-to-1 if 4 or 10 is the point, 3-to-2 if 5 or 9 is the point, or 6-to-5 if 6 or 8 is the point.

Unlike the pass line bet itself, the pass line odds bet can be turned "Off" not working , removed or reduced anytime before it loses. In Las Vegas, generally odds bets are required to be the table minimum.

In Atlantic City and Pennsylvania, the combine odds and pass bet must be table minimum so players can bet the minimum single unit on odds depending on the point. If the player requests the pass odds be not working "Off" and the shooter sevens-out or hits the point, the pass line bet will be lost or doubled and the pass odds returned.

Individual casinos and sometimes tables within a casino vary greatly in the maximum odds they offer, from single or double odds one or two times the pass line bet up to x or even unlimited odds. A variation often seen is "X Odds", where the maximum allowed odds bet depends on the point: This rule simplifies the calculation of winnings: As odds bets are paid at true odds, in contrast with the pass line which is always even money, taking odds on a minimum pass line bet lessens the house advantage compared with betting the same total amount on the pass line only.

A maximum odds bet on a minimum pass line bet often gives the lowest house edge available in any game in the casino. However, the odds bet cannot be made independently, so the house retains an edge on the pass line bet itself.

If a player is playing don't pass instead of pass, they may also lay odds by placing chips behind the don't pass line. If a 7 comes before the point is rolled, the odds pay at true odds of 1-to-2 if 4 or 10 is the point, 2-to-3 if 5 or 9 is the point, or 5-to-6 if 6 or 8 is the point. Typically the maximum lay bet will be expressed such that a player may win up to an amount equal to the maximum odds multiple at the table. If a player lays maximum odds with a point of 4 or 10 on a table offering five-times odds, he would be able to lay a maximum of ten times the amount of his Don't Pass bet.

At 5x odds table, the maximum amount the combined bet can win will always be 6x the amount of the Don't Pass bet. Players can bet table minimum odds if desired and win less than table minimum.

Like the Don't Pass bet the odds can be removed or reduced. Unlike the don't pass bet itself, the don't pass odds can be turned "Off" not working.

In Las Vegas generally odds bets are required to be the table minimum. In Atlantic City and Pennsylvania, the combine lay odds and Don't Pass bet must be table minimum so players may bet as little as the minimum two units on odds depending on the point.

If the player requests the don't pass odds to be not working "Off" and the shooter hits the point or sevens-out, the don't pass bet will be lost or doubled and the don't pass odds returned. Unlike a standard lay bet on a point, lay odds behind the Don't Pass line does not charge commission vig.

A Come bet can be visualized as starting an entirely new pass line bet, unique to that player. Like the Pass Line each player may only make one Come bet per roll, this does not exclude a player from betting odds on an already established Come point. Players may bet both the Come and Don't Come on the same roll if desired. Come bets can only be made after a point has been established since, on the come-out roll, a Come bet would be the same thing as a pass line bet.

A player making a Come bet will bet on the first point number that "comes" from the shooter's next roll, regardless of the table's round. If a 7 or 11 is rolled on the first round, it wins. If a 2, 3, or 12 is rolled, it loses. If instead the roll is 4, 5, 6, 8, 9, or 10, the Come bet will be moved by the base dealer onto a box representing the number the shooter threw. This number becomes the "come-bet point" and the player is allowed to take odds, just like a pass line bet.

Also like a pass line bet, the come bet is a contract bet and is always working, and cannot be turned "Off", removed or reduced until it wins or loses. However, the odds taken behind a Come bet can be turned "Off" not working , removed or reduced anytime before the bet loses. In Atlantic City and Pennsylvania, the combine odds and pass bet must be table minimum so players can bet the minimum single unit depending on the point.

If the player requests the Come odds to be not working "Off" and the shooter sevens-out or hits the Come bet point, the Come bet will be lost or doubled and the Come odds returned. If the casino allows put betting a player may increase a Come bet after a point has been established and bet larger odds behind if desired. Put betting also allows a player to bet on a Come and take odds immediately on a point number without a Come bet point being established.

The dealer will place the odds on top of the come bet, but slightly off center in order to differentiate between the original bet and the odds. The second round wins if the shooter rolls the come bet point again before a seven.

Winning come bets are paid the same as winning pass line bets: If, instead, the seven is rolled before the come-bet point, the come bet and any odds bet loses. Because of the come bet, if the shooter makes their point, a player can find themselves in the situation where they still have a come bet possibly with odds on it and the next roll is a come-out roll.

In this situation, odds bets on the come wagers are usually presumed to be not working for the come-out roll. That means that if the shooter rolls a 7 on the come-out roll, any players with active come bets waiting for a come-bet point lose their initial wager but will have their odds bets returned to them.

If the come-bet point is rolled on the come-out roll, the odds do not win but the come bet does and the odds bet is returned along with the come bet and its payoff. The player can tell the dealer that they want their odds working, such that if the shooter rolls a number that matches the come point, the odds bet will win along with the come bet, and if a seven is rolled, both lose. Many players will use a come bet as "insurance" against sevening out: The risk in this strategy is the situation where the shooter does not hit a seven for several rolls, leading to multiple come bets that will be lost if the shooter eventually sevens out.

In the same way that a come bet is similar to a pass line bet, a don't come bet is similar to a don't pass bet. Like the come, the don't come can only be bet after a point has already been established as it is the same as a don't pass line bet when no point is established.

A don't come bet is played in two rounds. If a 2 or 3 is rolled in the first round, it wins. If a 7 or 11 is rolled, it loses. If, instead, the roll is 4, 5, 6, 8, 9, or 10, the don't come bet will be moved by the base dealer onto a box representing the number the shooter threw.

The second round wins if the shooter rolls a seven before the don't come point. Like the Don't Pass each player may only make one Don't Come bet per roll, this does not exclude a player from laying odds on an already established Don't Come points. Players may bet both the Don't Come and Come on the same roll if desired. The player may lay odds on a don't come bet, just like a don't pass bet; in this case, the dealer not the player places the odds bet on top of the bet in the box, because of limited space, slightly offset to signify that it is an odds bet and not part of the original don't come bet.

Lay odds behind a Don't Come are subject to the same rules as Don't Pass lay odds. Unlike a standard lay bet on a point, lay odds behind a don't come point does not charge commission vig and gives the player true odds.

Like the don't pass line bet, don't come bets are no-contract, and can be removed or reduced after a don't come point has been established, but cannot be turned off "not working" without being removed.

A player may also call, "No Action" when a point is established, and the bet will not be moved to its point. This play is not to the player's advantage. If the bet is removed, the player can no longer lay odds behind the don't come point and cannot restore or increase the same don't come bet.

Players must wait until next roll as long as a pass line point has been established players cannot bet don't come on come out rolls before they can make a new don't come bet.

Las Vegas casinos which allow put betting allows players to move the Don't Come directly to any Come point as a put, however this is not allowed in Atlantic City or Pennsylvania. Unlike the don't come bet itself, the don't come odds can be turned "Off" not working , removed or reduced if desired.

In Las Vegas, players generally must lay at least table minimum on odds if desired and win less than table minimum, in Atlantic City and Pennsylvania players combined bet must be at least table minimum, so depending on the point number players may lay as little as 2 minimum units e.

If the player requests the don't come odds be not working "Off" and the shooter hits the don't come point or sevens-out, the don't come bet will be lost or doubled and the don't come odds returned. Winning don't come bets are paid the same as winning don't pass bets: Unlike come bets, the odds laid behind points established by don't come bets are always working including come out rolls unless the player specifies otherwise. These are bets that may not be settled on the first roll and may need any number of subsequent rolls before an outcome is determined.

Most multi-roll bets may fall into the situation where a point is made by the shooter before the outcome of the multi-roll bet is decided. These bets are often considered "not working" on the new come-out roll until the next point is established, unless the player calls the bet as "working. Casino rules vary on this; some of these bets may not be callable, while others may be considered "working" during the come-out. Dealers will usually announce if bets are working unless otherwise called off.

If a non-working point number placed, bought or laid becomes the new point as the result of a come-out, the bet is usually refunded, or can be moved to another number for free. Players can bet any point number 4, 5, 6, 8, 9, 10 by placing their wager in the come area and telling the dealer how much and on what number s , "30 on the 6", "5 on the 5" or "25 on the 10". These are typically "Place Bets to Win". These are bets that the number bet on will be rolled before a 7 is rolled.

These bets are considered working bets, and will continue to be paid out each time a shooter rolls the number bet. By rules, place bets are not working on the come out roll but can be "turned on" by the player. Players may remove or reduce bet must be at least table minimum this bet anytime before it loses seven out.

Place bets to win payout at slightly worse than the true odds: For the 4 and 10, it is to the player's advantage to 'buy' the bet see below. There are also "Place Bets to Lose". Rarely casinos offer these bets.

This bet is the opposite of the place bet to win and pays off if a 7 is rolled before the specific point number. The place bet to lose typically carries a lower house edge than a place bet to win.

Payouts are 4—5 on points 6 or 8, 5—8 on 5 or 9, and 5—11 on 4 or In most cases, there are other methods to bet on point numbers than placing them, depending how the casino charges commissions and what bets are allowed. See Buy, Lay, and Put bets. Buy bets are placed with the shooter betting at a specific number will come out before a player sevens out.

Traditionally, the buy bet commission is paid no matter what, but in recent years a number of casinos have changed their policy to charge the commission only when the buy bet wins. Some casinos charge the commission as a one-time fee to buy the number; payouts are then always at true odds. Players may remove or reduce this bet bet must be at least table minimum excluding vig anytime before it loses. Buy bets like place bets are not working when no point has been established unless the player specifies otherwise.

The house edges stated in the table assume the commission is charged on all bets. They are reduced by at least a factor of two if commission is charged on winning bets only. A lay bet is the opposite of a buy bet, where a player bets on a 7 to roll before the number that is laid. Players may only lay the 4, 5, 6, 8, 9 or 10 and may lay multiple numbers if desired. Just like the buy bet lay bets pay true odds, but because the lay bet is the opposite of the buy bet, the payout is reversed.

Therefore, players get 1 to 2 for the numbers 4 and 10, 2 to 3 for the numbers 5 and 9, and 5 to 6 for the numbers 6 and 8. Like the buy bet the commission is adjusted to suit the betting unit such that fraction of a dollar payouts are not needed. Casinos may charge the vig up front thereby requiring the player to pay a vig win or lose, other casinos may only take the vig if the bet wins.

Taking vig only on wins lowers house edge. Players may removed or reduce this bet bet must be at least table minimum anytime before it loses. Some casinos in Las Vegas allow players to lay table minimum plus vig if desired and win less than table minimum.

Lay bet maximums are equal to the table maximum win, so if a player wishes to lay the 4 or 10, he or she may bet twice at amount of the table maximum for the win to be table maximum. Similar to buy betting, some casinos only take commission on win reducing house edge. Unlike place and buy bets, lay bets are always working even when no point has been established. The player must specify otherwise if he or she wishes to have the bet not working. If a player is unsure of whether a bet is a single or multi-roll bet, it can be noted that all single-roll bets will be displayed on the playing surface in one color usually red , while all multi-roll bets will be displayed in a different color usually yellow.

A put bet is a bet which allows players to increase or make a Pass line bet after a point has been established after come-out roll. Players may make a put bet on the Pass line and take odds immediately or increase odds behind if a player decides to add money to an already existing Pass line bet.

Put betting also allows players to increase an existing come bet for additional odds after a come point has been established or make a new come bet and take odds immediately behind if desired without a come bet point being established. If increased or added put bets on the Pass line and Come cannot be turned "Off", removed or reduced, but odds bet behind can be turned "Off", removed or reduced. The odds bet is generally required to be the table minimum. Player cannot put bet the Don't Pass or Don't Come.

Put betting may give a larger house edge over place betting unless the casino offers high odds. Put bets are better than place bets to win when betting more than 5-times odds over the flat bet portion of the put bet.

Looking at two possible bets: The player needs to be at a table which not only allows put bets, but also high-times odds, to take this advantage. This bet can only be placed on the numbers 4, 6, 8, and In order for this bet to win, the chosen number must be rolled the "hard way" as doubles before a 7 or any other non-double combination "easy way" totaling that number is rolled.

In Las Vegas casinos, this bet is generally working, including when no point has been established, unless the player specifies otherwise. In other casinos such as those in Atlantic City , hard ways are not working when the point is off unless the player requests to have it working on the come out roll.

Like single-roll bets, hard way bets can be lower than the table minimum; however, the maximum bet allowed is also lower than the table maximum. The minimum hard way bet can be a minimum one unit. The maximum bet is based on the maximum allowed win from a single roll. Easy way is not a specific bet offered in standard casinos, but a term used to define any number combination which has two ways to roll. For example, 6—4, 4—6 would be a "10 easy". The 4, 6, 8 or 10 can be made both hard and easy ways.

Betting point numbers which pays off on easy or hard rolls of that number or single-roll "hop" bets e. A player can choose either the 6 or 8 being rolled before the shooter throws a seven. These wagers are usually avoided by experienced craps players since they pay even money 1: The bets are located in the corners behind the pass line, and bets may be placed directly by players. In addition place bets are usually not working, except by agreement, when the shooter is "coming out" i.

Single-roll proposition bets are resolved in one dice roll by the shooter. Most of these are called "Service Bets", and they are located at the center of most craps tables. Only the stickman or a dealer can place a service bet.

The lowest single roll bet can be a minimum one unit bet. Single bets are always working by default unless the player specifies otherwise. Wins if shooter rolls a 2 or The stickman places this bet on the line dividing the 2 and 12 bets. A combined bet, a player is betting half their bet on craps 2,3,12 and the other half on 11 yo. The combine payout is 3: Another method of calculating the payout is to divide the total bet in half.

The player would receive 7: If an 11 was rolled the player would receive Both methods of calculation yield the same result so either method can be used. If a player wishes to take the bet down after a win the player would receive the whole bet not half even though only one of the two bets can win per roll. One of the two bets will always lose, the other may win.

Wins if the shooter rolls a 7 with 4: This bet is also nicknamed Big Red, since the 7 on its betting space on the layout is usually large and red, and it is considered bad luck [ by whom? This is a bet that involves betting on 1 unit each for 2, 3, 11 and 12 at the same time for the next roll. The bet is actually four separate bets, and pays off depending on which number is actually rolled. The combine payout is Each individual bet has the same payout as a single bet on the specific numbers, If a player wins the bet he can take down all four bets instead of a single bet even though only one bet can win per roll.

Many players, in order to eliminate the confusion of tossing four chips to the center of the table or having change made while bets are being placed, will make a five-unit Horn High bet, which is a four-way bet with the extra unit going to one specific number. Horn bets are generally required to be in multiples of 4 or 5 with the minimum bet being 4 times the minimum unit allowed.

A five-unit bet that is a combination of a horn and any-seven bet, with the idea that if a seven is rolled the bet is a push, because the money won on the seven is lost on the horn portions of the bet. The combine odds are The minimum bet is five of the minimum units. On the Hop, Hop or Hopping: A single roll bet on any particular combination of the two dice on the next roll including combinations whose sum is 7 e. For example, if you bet on "5 and 1" on the hop, you are betting that the next roll will have a 5 on one die and a 1 on the other die.

The bet pays Hard ways hop pays The true odds are When presented, hop bets are located at the center of the craps layout with the other proposition bets. If hop bets are not on the craps layout, they still may be bet on by players but they become the responsibility of the boxman to book the bet. Sometimes players may request to hop a whole number. In this case the money on the bet different combinations. For example, if a player says "hop the tens" 6—4, 5—5, 4—6 the player must give the dealer an even number bet so it can be divided among the hard and easy ways.

If a player wishes to "hop the sevens" there would be three different combinations and six possible ways to roll a 7 6—1, 5—2, 4—3, 3—4, 2—5, 1—6 therefore the player should bet in multiples of 3 so the bet can be divided among each combination with a This bet is a wager that one of the numbers 2, 3, 4, 9, 10, 11, or 12 will appear on the next roll of the dice. This bet typically pays more 2: The Field bet is a "Self-Service" Bet.

Unlike the other proposition bets which are handled by the dealers or stickman, the field bet is placed directly by the player. Players identify their Field bets by placing them in the Field area directly in front of them or as close to their position as possible.

A registered trademark owned by SHFL entertainment. As different individual points are made by the shooter, they will be marked on the craps layout with a fire symbol. The first three points will not pay out on the fire bet, but the fourth, fifth and sixth will pay out at increasing odds. The fourth point pays at to-1, the fifth point pays at to-1 and the 6th point pays at to Note that the points must all be different numbers for them to count towards the fire bet.

For example, a shooter who successfully hits a point of 10 twice will only garner credit for the first one on the fire bet. Players must hit the established point in order for it to count toward the fire bet.