2021. 1. 15. 19:32ㆍ카테고리 없음
Crapless Craps You may have run across it at the Stratosphere in Vegas.Or was on some backwater boat in Mississippi?Or maybe it was at that Indian casino you visited on vacation.It’s called Crapless Craps.Many players like this game, yet after thirty years on the market, Crapless Craps is still difficult to find.Why?Primarily because it is a proprietary game, which means casinos must pay a licensing fee to use the layout.But there’s also a certain amount of player - and casino - reluctance to accept the game.Part of this comes out of confusion over the payout schedules - still another set of numbers for dealers and players to learn.Then there’s the vig – substantially higher than at the traditional game.Nevertheless, Crapless Craps can be a profitable game for the skilled dice setter who plays the “best bets”, then arranges his dice accordingly. The basic Crapless Craps game is quite similar to traditional banker’s craps, however it does have a few unique variations.First off, there’s the addition of four new point numbers.The 2, 3, 11, and 12 are point numbers in this game.Since it is “crapless,” you cannot lose on the come out roll.But you don’t automatically win on the eleven either, so the only way to win on the come out is by throwing the seven.Traditionally, the best set for throwing the seven is the hard 10 set with the 3/4 on the side.But we’ll get into this more later. At first glance the Crapless idea looks good.You’re giving up one natural, the 11,to avoid three losers, the 2, 3, or 12.Remember, though, that the probability of hitting a point of 2 or 12 is only 1/7, and the probability of hitting a point of 3 or 11 is only 1/4.In fact, giving up that sure winner on the eleven for a shot at winning on the 2, 3, and 12 boosts the house edge on the pass line to a whopping 5.382%.Placing single odds will reduce the vig to 2.936%.Double odds reduces it further to 2.081%.But it is not until you get to 5X odds that the vig gets halfway respectable – down to 1.042%.However, most of these games offer nothing better than double odds.Therefore, the pass line bet should be avoided unless you are shooting the dice. Let’s take a look at the true odds aspect of these “new” point numbers at Crapless Craps.The true odds of any point rolling are based on the number of ways that point can be rolled in relationship to the number of ways the seven can be rolled.Imaging you have $5 on the line and the shooter establishes the twelve as his point.You place full double odds behind the line bet and have a total of $15 in action.What would be the correct pay off if the shooter made the point?There is one combination of the dice that adds up to twelve.The six-six.But there are six combinations that add up to seven.They are one-six, two-five, three-four, four-three, five-two, and six-one.Therefore, the correct true odds on the twelve are six to one.In our example, if the shooter made his point we would be paid $5 for our line bet, and $60 for our $10 free odds bet, for a total payoff of $65. TRUE ODDS PAY-OFF FOR CRAPLESS CRAPS
As you can see from the above chart, if the three or eleven is established as the point, the correct true odds payoff is three to one.Using the same example as above, a five dollar line bet with double odds would pay a total of $35, five for the line bet and thirty for the free odds bet.The rest of the numbers pay the same as in a traditional game.Sounds good, right?But remember, the elimination of the eleven as a natural increases the vig in this game.A pass line or come bet with double odds carries a toll of2.081% compared to 0.60% in the traditional game.Again, the line bet should be avoided until it’s your time to shoot the dice.Still, you should know the correct pay-off for those times when you are shooting the dice.This will also come into play with your buy bets - which we will get into later. Now let’s take a look at place betting for Crapless Craps.Obviously, the traditional 4, 5, 6, 8, 9, and 10 bets are played – and paid exactly the same as in a standard game.The vig on these bets is no different than what you are used to.The major difference in this game comes with the placing of the “extreme outside” numbers, the 2, 3, 11, and 12.The pay off odds for place bets on these numbers is as follows: EXTREME OUTSIDE PLACE BET ODDS As with the five and nine – you must bet an even amount of money to get a correct pay off on the extreme outside numbers.On a five dollar table the minimum correct bet on the two or twelve would be six dollars.For a correct pay off on the three and eleven you would place eight dollars.Placing an incorrect amount will result in a reduced payoff, which increases the already considerable vig.The11:2 payoff on the 2 and 12 yields a house edge of7.143%.The 3 and 11 run a close second with an edge of6.250%.That is why most veteran players “buy” the extreme outside just as they would the four and ten. A Buy bet is similar to a Place bet except that you pay a 5% commission up-front in exchange for receiving a true payoff if it wins. The commission is based on the amount wagered. For example, if you wanted to make a $20 Buy bet on the number 11, you'd put down $21 in the Come area and tell the dealer 'Buy the 11'. He or she will move $20 to the number 11 point box and place a BUY button on top it. The extra $1 (5% of $20) is the vig for the house. The result is that you'll win $60 (3:1) instead of $55 (11:4) for a place bet in the same amount.If your bet wins and you want to keep it up, you'll have to pay the dealer another $1 commission. The vig is returned if you remove the bet before it wins or loses. Let’s review the best bets in Crapless Craps.Number one on the list is placing the six and eight - with a vig of 1.51%.Next on the list is the pass line with double odds - which carries a vig of 2.08%.Last of all is pushing the house for a better buy on the extreme outside numbers - which can get the vig as low as 2.56%.Now let’s move on to the basic Crapless dice setting and betting strategy. A strategy for players with less bankroll to work with might be to place the extreme outside numbers for $6 and $8 each, then buy them out of the payoff on the first hit.However, the vig on this bet is substantially higher than on the buy bet.Whenever possible, it is best to pay the additional $12 plus the commission for a correct payoff.Remember, too, that money management is the cornerstone of any good betting strategy.With that in mind, plan to incorporate at least one regression move in your play, with an eye toward locking up a small win or minimizing potential losses.But any good strategy should focus on signature numbers for the dice arrangement to be used. Since the game is “crapless,” on the come-out roll you want your best shot at hitting a seven – or establishing a point of 2, 3, 6, 8, 11 or 12.The recommended arrangement for these numbers is the hard-ten set – the 5-5 up, the 6-6 and 1-1 facing up and down table, the 3-4 on the sides.When rolled on axis, four out of sixteen possible combinations of the dice add up to seven, four combinations yield the six or eight, while six out of sixteen combinations add up to an extreme outside number.That’s one way to make the two or twelve, and two ways to make the three or eleven.If you score a seven on the come-out roll – great.If you get up on any of our favored points – that’s great, too.You’ll want to play maximum free odds behind your line bet in order to reduce the vig and take advantage of the huge potential payoffs on these numbers.But once the point is established you should change your set for the balance of your roll. Assuming you are successful in establishing one of your preferred points, the correct dice set is one you are all familiar with by now - the crossed-sixes.In this arrangement, one die has the 3-4 on the sides, and the other has the 5-2 on the sides.Rolled on axis, this set reduces the number of combinations that add up to seven from four to two.You have one way each to make the two, three, eleven and twelve, plus two ways each to make the six and eight.That’s a total of eight ways to win versus two ways to lose on the seven. So next time you’re at Sam’s Town in Tunica, The Isle of Capri in Kansas City, or yes, even the Stratosphere in Vegas – step up to the old Crapless game, wait for the dice, put five on the line and give it a whirl.With a little luck and a lot of skill – it might be the most fun you’ve ever had shooting dice. Copyright 2001 by Stephen Haltom - all rights reserved. |
Craps Odds and Probabilities - Calculating Craps Combinations
Craps is played with a pair of dice. Since each die has six sides there are six possible outcomes. Two dice makes 6×6 and therefore there are 36 possible combinations on each roll. Since only one combination can give you a total of 12 (6 + 6), the probability of this on any given roll is one in thirty-six.
Calculating craps odds and probability seems hard, but it's not as complicated as one might think. When calculating the probabilities of any gambling activity, the first thing one looks at is the number of potential outcomes. When rolling two six-sided dice, like you in a game of craps, there are 36 possible outcomes. (There are only 11 possible totals, 2 through 12, but there are 36 combinations that can result in those totals.)
There is only one way to roll a 2 (or a 12). Roll a 1 on each die (or a 6 on each die.) Since there are 36 possible combinations, and only 1 of those combinations can total 2, the probability of getting a 2 on a roll is 1 out of 36, or 35 to 1, as stated in odds terms. There are 2 ways to roll a 3 though - you can roll a 1 and a 2, or roll a 2 and a 1, so the probability of rolling a 3 is 2 out of 36. 2 out of 36 is the same as 1 out of 18, which stated in odds terms is 17 to 1.
Here's a chart outlining the possible combinations, how many ways each total can be rolled, and what the odds are for each total.
- Probability - Enter your odds of winning, say, '.5' for a coin flip, or '.1' for one number out of 10. Odds - Enter your net odds received, say '2' for 2 to 1 odds. Bankroll - Enter the amount of money you have to bet.
- Any Craps Any Seven: What is the probability of consecutive? What is the probability that exactly decisions will. Out of total decisons?
- To calculate exp (n) one would ostensibly have to find the probability prob (h) of each craps hand, form the product prob (h) n (h) for each hand h, and add up all of these numbers for each and every hand h.
| Total | Number of Ways to Roll This Total | Odds | Combinations |
| 2 | 1 | 35 to 1 | 1,1 |
| 3 | 2 | 17 to 1 | 1,2 + 2,1 |
| 4 | 3 | 11 to 1 | 1,3 + 3,1 + 2,2 |
| 5 | 4 | 8 to 1 | 1,4 + 4,1 + 2,3 + 3,2 |
| 6 | 5 | 6.2 to 1 | 1,5 + 5,1 + 2,4 + 4,2 + 3,3 |
| 7 | 6 | 5 to 1 | 1,6 + 6,1 +2,5 + 5,2 + 3,4 + 4,3 |
| 8 | 5 | 6.2 to 1 | 2,6 + 6,2 + 3,5 + 5,3 +4,4 |
| 9 | 4 | 8 to 1 | 3,6 + 6,3 + 4,5 +5,4 |
| 10 | 3 | 11 to 1 | 4,6 + 6,4 + 5,5 |
| 11 | 2 | 17 to 1 | 5,6 + 6,5 |
| 12 | 1 | 35 to 1 | 6,6 |
Calculating the Odds in Craps
The formula used to calculate the odds of rolling a specific total in craps is actually pretty simple. Divide 36 by the number of combinations that will make that total. Since there are 6 combinations which will total 7, the probability is 36 divide by 6, or 1 in 6 chance of rolling a 7.
Converting this to odds is easy to. Odds are always stated as the number of possibilities of something not happening versus the number of possibilities of something happening. For every roll of 7 there will be 5 rolls that aren't 7.
Craps Probabilities and the House Edge
The house edge is the difference between what the house pays out on a bet and it's true odds. For example, if a casino pays $30 for a $1 bet that someone will roll a 2, it's making a profit, because the true odds are 35 to 1. To be a break even bet, the casino would need to pay out $35 on that bet. (And return the $1 bet.) But if a casino had nothing but break even bets, it wouldn't make a profit. Without a profit, they'd have no reason to exist, and one wouldn't get to play craps.
Probability Calculator Craps Free
It's good to understand how probabilities and odds are calculated because not all bets have as high a house edge as other bets. If one understands the math behind the odds, one can then choose the better bets, the ones with the lowest house edge. Choosing the bets with the lowest house edge is just good craps strategy.