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You take the number of ways an event can happen and divide it by the total number of events possible. You flip a coin.
There are 2 possible outcomes, both of which are equally likely. You want to know the probability of the coin landing on heads.
That can also be expressed as 0. All probabilities are, by their nature, fractions. But there are multiple ways of expressing a fraction. I gave examples in 1 related to the toss of a coin.
Or you could express it as 1. But most people are comfortable expressing it as a percentage. Suppose you want to know the probability of getting heads twice in a row.
In this case, we have a 0. The die has 6 possible results, 1, 2, 3, 4, 5, or 6. A standard deck of cards consists of 52 cards. The cards are divided into 4 different suits—clubs, diamonds, hearts, and spades.
The cards are also divided into 13 different ranks: But one of the interesting things about card games is that the dealing of cards changes the probability of getting subsequent cards.
You have 3 aces and a deuce. You only have one opponent, and he has 4 cards, none of which is an ace. An American roulette wheel has 38 pockets in which the ball can land.
This can also be expressed as 37 to 1. This is a great example, because it demonstrates how the casino gets its edge over the player.
This bet pays off at 35 to 1. Since the odds of winning are 37 to 1 and the payoff is only 35 to 1, over a long enough period of time, the casino will almost surely win a lot of money on this bet.
You can also place bets on whether the ball lands on an odd or even number. The 0 and the 00 the green pockets qualify as neither.
So the odds of winning odd or even are the same as winning a bet on black or red. The house edge is the percentage of each bet that the casino expects to win over the long run.
You place 38 bets on a single number at the roulette table. In the short term, anything can and often will happen. The casino relies on the law of large numbers for their business model.
Players are hoping to have the occasional short-term run of luck. The casino knows that these short-term runs of luck are more than compensated for by the actual expected results on all the other bets being placed constantly throughout the casino.
A betting system is a method of increasing and reducing your bets based on your previous results. The gamblers fallacy is the belief that previous events somehow affect the probability of future events.
In the case of truly independent trials, previous results have no effect. This is not to be confused with the question of what the probability is that the ball will land on red 9 times in a row.
The classic example is the Martingale System. The Martingale System is the classic example of a betting system based on the gamblers fallacy.
The idea is simple enough. You place a single bet on red or black at the roulette table. If you win, you pocket your winnings. The odds in a real money casinos should be looked at like its engine of revenue.
In order to keep their doors open, land-based and online casinos are given the legal right by licensing authorities to plan an advantage into the game.
Lawmakers and regulators realize casinos must maintain a house edge. The probable scenario might not play out in the short term, but over an extended period of time, the results should conform to the mathematical odds.
All successful real money casinos operate on the principle that the house edge will make them profits. Like the motor in a vehicle, the house edge should produce revenues at a particular pace.
The casino sets a house edge on each gaming machine and table game, which all combined create a revenue stream. Management tries to find a balance between setting a house edge large enough to produce substantial profits, but small enough to keep gamblers interested in playing.
While laws stipulate a maximum limit for the house edge, most casinos set the expected return of their games at a much higher level, to lure players into their venue and keep them satisfied.
This is done for promotional purposes, to start a buzz in the gaming community, and should be looked at as an expense much like an advertising budget.
Most casinos—especially those lone outfits away from the centers of gambling tourism—see no need to offer such great bargains.
Therefore, when you gamble for real money, expect to face a house edge. You might get lucky and beat the house edge for a while.
If you play long enough, the house edge will beat you every single time. The so-called tricks which seem to beat the odds are nothing more than illusions produced by the random deviations of probability.
Probabilistic results have a certain variance, and the house edge is set well within those variations in fortune, so a person can and will get lucky sometimes.
Each game in the casino has a specific set of odds. It pays to know your chances of winning and losing when choosing a game to play.
Ultimately, casino gambling is about playing for fun, entertainment, and thrills. Which means sticking to the smaller mobile screen.
When Android smartphones and iPhone casinos hit the scene, Probability jumped at the chance to show off their years of experience. They created casino games for mobile that simply work.
They kept with their two original theories of what players want, especially when it comes to slot machines. Well theory one make sense in theory, but we generally disagree.
The second theory about paytables is a little more complex, but this one we can see the logic. In land-based or online casinos you have more time to play.
You sit, you chill, you take your time to get that jackpot. So the paytable reflects that, giving you wins more frequently in a small space of time.
On one hand you can play all their games on tablet. On the other, their casino and platform is definitely tailored for the smaller screen.
However, they do have a range of blackjack, roulette and even bingo.