Bets on the pass line in craps are some of the most popular wagers at the Mohegan Sun Casino. Made from a mixture of betting and skill, the game is a combination between two well-known games: Craps and Blackjack. The basic idea behind betting on the pass line is to place a wager on whether the next roll of the dice will result in a 7 or 11. If you’re correct, you win; if you’re incorrect, you lose. Typically, there is more money bet on each roll of the dice than there is in an ordinary game of craps, and thus the house edge is smaller (the casino basically makes its money on the roll of the dice rather than the score of the game). This means that, on average, the player wins more money than with other types of wagers (such as the shooter, which we’ll discuss shortly).
The key to winning at this game is to bet on the right numbers. The general strategy for winning at craps is to go all in on a pair when you’ve got a good run of luck, or split your wager between a pair and an individual number (like 7 for the pair and 3 for the single number). When you use this strategy, you reduce the house edge to just 7 percent, similar to that of Blackjack (but with a lower variance – meaning that, on average, your wins will be higher than with other strategies). This is how you become a betting winner!
The Mathematics of Betting on the Pass Line
To calculate the correct amount to bet on the pass line at the Mohegan Sun Casino, you need to consider the odds of winning on each roll of the dice, as well as the variance of the game. To calculate how much you need to bet to achieve a desired house edge, you use the following formula:
- W = How much you want to win
- L = How much you want to lose
- S = Stake (your total bet)
- H = House edge
The Odds of Winning On a Roll of the Dice
There are four possibilities for what will come up on a roll of the dice at the Mohegan Sun Casino. If you want to win, you need to bet on either a 7 or an 11. The first two numbers on the dice (usually, but not always, the 2 and the 6) are the dice that will result in you winning. The last two numbers on the dice (usually, but not always, the 5 and the 10) are the dice that will result in you losing. The following table provides the odds of winning on any given roll of the dice. (For betting purposes, the casino assumes that the dice are fair.)
Odds of Winning on a 7
Odds of Winning on an 11
The Variance of Craps
The standard deviation of any given roll of the dice is 3. This means that, for every 3 times you roll the dice, there is a 1 in 12 chance of you getting a different number. This is why you need to be precise when placing your wagers on the pass line.
This also means that, for every 100 dollars you wager, you will lose 17 dollars (or gain 83 dollars).
The House Edge of Craps
Using the formula from the previous section and plugging in the numbers we got from the previous table, we get the following:
- W = $100
- L = ($100) x (-1) = $-100
- S = $0
- H = $17
As you can see, the house edge is 17 dollars on every 100 dollars you wager. This means that the casino is making 17 dollars on every 100 dollars you wager (in essence, the house edge is being paid out to you – on a pretense, of course!). Since the house edge is smaller than 1 percent of your total bankroll (your total money in the game, including dollars and coins), you can easily be considered a casino favorite.
Why Betting On the Pass Line is Popular At The Mohegan Sun Casino
There are a few reasons why betting on the pass line is so popular at the Mohegan Sun Casino. First, it is a relatively easy game to understand and implement. Just remember: if you want to win, place a wager on either a 7 or 11. Second, the game is a combination of two well-known games that many people already understand and play. Finally, the winnings from this game are typically higher than usual – which leads to more opportunities for players to win big. (Note: this is assuming the dice are fair.)
With the above information, you should have no trouble winning or losing at the Mohegan Sun Casino. As you would with any casino game, if you want to improve your odds of winning, practice! And don’t forget: the house always wins. Finally, if you want to be able to calculate the odds of winning for any casino game, use this handy tool. Just remember: the house always wins.