Craps Numbers Odds

2021年11月14日
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There are 36 possible number combinations in craps. Here is a chart showing the possible combinations for each number using two die. From the chart, you can see that the most likely number you’ll roll is a 7, followed by the 6 and the 8, then 5 and 9, then 4 and 10, then 3 and 11, and finally (and least likely) the 2 and the 12. Thus, the craps true odds for two and twelve are 1:36. As it is evident from the odds, the craps payouts are higher when the number is harder to roll. The next couple of figures based on the possibilities to come out as a result of a roll are three and eleven. Nevertheless, you can quickly become a skilled craps player by understanding the fundamentals of craps odds and the house edge on each bet in the game. For example, the chances of hitting a Pass bet is 49.3% but the payout is 1/1. This difference of 1.41% is the house edge on that bet.Casino Craps OddsKnowing the mathematical odds of the dice achieving a certain outcome is the essence of the game. If you are going to play for money, then try and remember these odds.For a description of the kind of bets you can make playing Craps, see instructions from a real casino or dice-play’s Craps guide. If you want to understand more about how odds work, see dice odds.You will be at a slight disadvantage with the Pass Line bet since the odds of the dice winning are only 970 times out of 1980. The edge against the dice passing works out as 1.414%. The following table illustrates the bets found on Vegas/Nevada, Atlantic City, etc., Bank Craps tables. Bets in red can be made in other ways at better odds.BetTrue OddsPay-offHouse Edge % Pass Line/Come Bet251 to 2441 to 1 1.414Don’t Pass/Don’t Come Bet976 to 9491 to 1 1.402Pass Line Odds/Come Bet Odds/Buy Bets (5% commission) Numbers 4 or 10 2 to 12 to 1 4.76 Numbers 5 or 9 3 to 2 3 to 2 4.76 Numbers 6 or 8 6 to 56 to 5 4.76Don’t Pass Odds/Don’t Come Bet Odds/Lay Bets (5% commission) Numbers 4 or 10 1 to 21 to 2 2.44 Numbers 5 or 9 2 to 32 to 3 3.23 Numbers 6 or 8 5 to 65 to 6 4.0Field Bets 3, 4, 9, 10, 11 5 to 41 to 1 2.78 2, 12 2 to 1 Place Bets Numbers 4 or 10 2 to 19 to 5 6.7 Numbers 5 or 93 to 27 to 5 4.0 Numbers 6 or 8 6 to 57 to 6 1.52Hardways 6 or 8 10 to 19 to 1 9.09 4 or 10 8 to 17 to 1 11.1One Roll Bets Any 7 5 to 14 to 1 16.9 Any craps 8 to 17 to 1 11.1 2 craps or 12 craps 35 to 130 to 1 13.9 3 craps or 11 17 to 115 to 1 11.1Horn Bet (3 or 11) 3.75 to 1Horn Bet (2 or 12) 7.5 to 1Big 6 or 86 to 51 to 19.09
British casinosare tightly regulated and pay better odds on some bets. The following table illustrates the differing bets found in British casinos. BetTrue OddsPay-offHouse Edge %Hardways 4 or 108 to 115 to 25.56 6 or 810 to 119 to 24.55Place Bet: 4 or 102 to 119 to 103.332 craps or 12 craps35 to 133 to 1There is no Big 6 or 8----------------
Bar 1-2 Some greedy casinos (on cruise ships perhaps) bar 1-2 and not 1-1 or 6-6. This gives them a greater edge on Don’t Pass/Don’t Come bets.BetTrue OddsPay-offHouse Edge % Don’t Pass/Don’t Come976 to 8401 to14.40There are 36 possible outcomes of two dice. The following tables show the true odds for the specified outcome of the dice. (A) This column gives the number of possible ways of making the dice total.(B) This column gives the odds against making the dice total in a single roll.(C) This column gives the odds against rolling the dice total before a 7.(D) These columns give the odds against making the higher dice total before the lower dice total. e.g. 12 before 6 = 5 - 1. For making the lower number before the higher, reverse the odds. e.g. 6 before 12 = 1 - 5.DiceABCD>>121 35 - 1 6-112112 17 - 13-1 2-111103 11 - 1 2-1 3-1 3-21094 8 - 1 3-2 4-1 2-1 4-3985 6 - 1 6-5 5-1 5-2 5-3 5-4876 5 - 1 - 6-1 3-1 2-1 3-2 6-5765 6 - 1 6-5 5-1 5-2 5-3 5-4 1-1 5-6654 8 - 1 3-2 4-1 2-1 4-3 1-1 4-5 2-3 4-5543 11 -1 2 -1 3-1 3-2 1-1 3-4 3-5 1-2 3-5 3-4432 17 - 1 3-1 2-1 1-1 2-3 1-2 2-5 1-3 2-5 1-2 2-3321 35 - 1 6-1 1-1 1-2 1-3 1-4 1-5 1-6 1-5 1-4 1-3 1-22Hardway Odds of making a number as a double, before a 7 or as another combination.HardwayOdds4 (2 + 2)8 - 16 (3 + 3)10 - 18 (4 + 4)10 - 110 (5 + 5) 8 - 1Odds against rolling a specified double are 35 - 1Odds against rolling a specified combination of two differing numbers are 17 - 1Odds against rolling craps are 8 - 1The Odds: Numbers
Since craps is a game of chance, you need to understand why you have a greater or lesser chance of rolling different numbers. Because you’re rolling two dice, your chances of rolling a specific number in craps are determined by the number of die combinations that can add up to that number. For example, 2 can only be rolled with two 1s, but 4 can be rolled with either a 1 and a 3 or two 2s. That means you have twice the chance of rolling a 3 as you do a 2. Because the 7 has the greatest number of combinations (six), it is the number that has the potential to come up most often, which is why 7 is the magic number in craps.
There are 36 possible number combinations in craps. Here is a chart showing the possible combinations for each number using two die.
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From the chart, you can see that the most likely number you’ll roll is a 7, followed by the 6 and the 8, then 5 and 9, then 4 and 10, then 3 and 11, and finally (and least likely) the 2 and the 12. This means you’ll roll a 7 once out of every six rolls, a 6 or an 8 once out of every 7 to 8 rolls, and so on.Odds for Each NumberCraps Numbers Odds College Football
By looking at the possible combinations, the ’true odds’ for each number can be established. Knowing the odds in craps is good so you have a feel for the likelihood of one number being rolled before another one (e.g., is the 4 going to be rolled before the 7?).Craps Odds SheetHouse Edge
Now, true odds are not what the casino pays you unless you’re also betting ’free odds’ on top of your main bet. Free odds, which is an additional wager you place with your original line bet, pay true odds so the casino’s edge is reduced. (We’ll talk more about free odds in Strategies the Winners Use.)Craps Numbers Odds Games
To better explain how the casino edge works, let’s take the example of flipping a coin. You have a 50/50 chance of the coin landing on heads, and a 50/50 chance of it landing on tails. If that were a bet on which you were being paid true odds, you would be paid even money. The casino, however, has to have an edge in order to make a profit on the game. So, the payoff for any given bet is less than what true mathematical odds would dictate. For example, on a bet that had true odds of 1:1, you would think that if you bet $1 and win, you would be paid $1 in winnings. But in a casino, depending on the bet, you might only be paid $.96. The difference between the true odds and what they pay you is how they make money -- it’s called casino odds.
Another way to better understand casino odds versus true odds is to look at the definition of the casino (or house) edge. WizardOfOdds.com defines it as, ’The ratio of the average loss to the initial bet,’ going on to explain that it’s based on the original wager rather than the average wager so that players can have an idea of how much they are going to lose when they place a bet. For example, by knowing that the casino has a 1.41 percent edge in craps, you can know that you’ll be losing 14.1 cents for every $10 bet.Odds In Craps Explained
For charts of odds for all types of bets, visit the Wizard of Odds.com.
On the next page, we’ll talk about types of craps bets, their odds and what the casino pays for each.
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