The Mathematical Reasons Why All Types of Non-Advantage Gambling Are Beneficial To The Casino:
BASE GAME:
Almost every casino game has an intrinsic mathematical advantage. Let’s go back to the American roulette example. American roulette has 38 slots – 0, 00, and 1-36 with 18 being red and 18 being black. Betting $1 on either red or black pays back $2 for a net profit of $1. Expressed as a ratio, the payout is 1:1. The table lists all of the payouts, but it doesn’t list the odds of winning. There are 18 ways to win and 20 ways to lose, so the odds of winning are 47.36%, meaning you are giving the casino greater odds than they are giving you. The casino isn’t the only one giving odds to customers. You both give odds to each other, and you are giving the casino 1:1 odds on your money in the same transaction that they are giving you less than 1:1 odds on your statistics.
MORE THAN 50% ODDS:
Betting on 18 numbers gives you a 47.36% chance of winning, but roulette is unique because you can bet on any amount of numbers, improving your chance of winning. Each column has 12 numbers, so you may want to bet on 2 columns, now with 24 ways to win and 14 ways to lose. Your odds of winning are now 63.15%. It almost seems like you have the advantage, but this is just an illusion. You would have the advantage if the casino paid you 1:1 when you win, but each column requires its own bet, and a 2-column bet would have a payback ratio of 1:2 on a game where there are still two extra ways to lose. Yes, even when you have more ways to win, there are still two extra ways to lose, meaning you are offering the casino 2:1 odds on your money in a game where they are still offering you less than 2:1 odds on your statistics.
BETTING SYSTEMS:
There are many different types of betting systems such as the Paroli, D’alembert, Stearn, Fibonacci, and Labouchere, but the most infamous betting system is called the Martingale. The concept of the Martingale is to double your bet on every loss until you win when betting on a 1:1 payout. Assuming your starting bet is $1, your betting progression would go as follows: $1, $2, $4, $8, $16, $32, $64, $128, $256, etc. Every win would produce a $1 profit, and you would revert back to your starting bet to start the progression over again. The thought process behind this is that surely the same outcome can’t appear forever – right? There are a few fundamental problems with this system. First let’s go back to the concept of odds. Assuming you have enough money for 9 bets starting at $1, you would bring $511 to the table, intending to utilize every dollar on the progression, meaning you are already intending to offer the casino 511:1 odds on your money while they are offering you less than 1:1 odds on your statistics. You are intending to spend $511 for a less than fair chance at winning $1.
You have 9 chances to win, but now we also have the concept of independent outcomes. If you are already in a progression and betting $32, the odds of winning are still the same on every spin. Each spin is an independent outcome, and you still have 18 ways to win and 20 ways to lose, and your next bet will still have 18 ways to win and 20 ways to lose, and your next bet will also have 18 ways to win and 20 ways to lose. Next we also have the problem of real world application. When you start to collect data and have real experience, you realize that although they sound great on paper, progressive betting systems are not good long-term strategies. I’ve personally seen 16 of the same outcome in a row on baccarat, and at the Monte Carlo casino in 1913, black was spun 26 times in a row on roulette. Finally we have the problem of betting limits. The casino has a minimum bet and a maximum bet for all games. At the BetMGM online casino, they have a $1 – $25,000 limit (15 full bets), at the Wind Creek live casino in Pennsylvania they have a $5 – $10,000 limit (11 full bets), and many other casinos have even tighter limits that would allow you to place less progressive bets than that.
OTHER GAMES:
Now that we have established the 1:1 payouts on American roulette, let’s take a look at some other 1:1 payouts.
European roulette only has one 0, but betting red or black still has 18 ways to win and 19 ways to lose.
The field bet in craps consists of 2, 3, 4, 9, 10, 11, and 12. This is a whole 7 out of only 11 possible numbers. This seems like a good bet at first glance, but this is also an illusion. There are 16 ways to roll field bet combinations and 20 ways to roll non-field bet combinations, so 16 ways to win and 20 ways to lose. The 2 and 12 usually pay either double or triple depending on the casino, but there are still only 2 combinations to roll either a 2 or a 12.
The Big Six Wheel has 54 slots with 24 slots being 1:1 payouts, so 24 ways to win and 30 ways to lose for an 11.11% house edge, more than double the house edge of American roulette on just that one bet, and all other bets on this game have even higher house edges.
The games Chuck-a-Luck and Sic Bo are both played with 3 dice. There are a few different available bets that you can place, but the single number bet pays 1:1 if your chosen number is rolled on one of the three dice, 2:1 if your number is rolled on two dice, and varying payouts from 3:1 to 12:1 depending on the casino if your number is rolled on all three dice. You may think at first that you have a 50/50 chance of rolling at least one winning number because there are 6 total numbers and there are 3 dice being rolled, but this is still just an illusion. There are actually 91 ways to roll winning combinations and 125 ways to roll losing combinations.
The previous examples only require simple math, but let’s take a look at commission baccarat. According to WizardOfOdds.com, in an 8-deck shoe with 416 cards, there are 4,998,398,275,503,360 (4.998 quadrillion) total combinations of outcomes with 2,292,252,566,437,888 (2.292 quadrillion) banker wins, 2,230,518,282,592,256 (2.23 quadrillion) player wins, and 475,627,426,473,216 (475 trillion) ties. When betting on player, there are over 61 trillion more ways to lose than when betting on banker, and when betting on banker, they don’t pay you 1:1 – instead they pay you 0.95:1, still maintaining a 1.06% mathematical advantage.
As you can see, the casino has included a mathematical house advantage on almost all casino games. The only way to consistently profit is to be an advantage player, and the best type of advantage player is a loophole player. If you would like to learn how to be a loophole player and make consistent profits, you can support the website with a membership.