Gambling Fallacy and Casino Encouragement

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The Gambler’s Fallacy is the mistaken belief that a random event is less or more likely to happen based on the results from a previous event or events. So every time a player wagers based on that, they give in to Gambling Fallacy and Casino Encouragement.

A Players Belief System

Recreational gamblers often have beliefs based on myths or gut feelings. The Gambler’s Fallacy is the belief that probability changes based on previous events. For example, let’s say the roulette ball has landed on red six times in a row. Believing the gambler’s fallacy assumes that the ball is more likely to land on black on the next spin.

Most people gamble on independent events. However, their belief system does not embrace the math and the truth behind each wager. Previous events don’t affect the probability.

Every Wager is a Single Event

Example #1 – Roulette

Gambling Fallacy and Casinos Encouragement
Roulette table.

You have 18 black pockets, 18 red pockets, and two green pockets on a roulette wheel. That’s 38 total possible events. (Let’s not even admit that triple zero roulette exists, shall we.) So the probability of the ball landing on black is 18/38, or 47.37%. That probability will always be there. And it doesn’t change based on what happened on the previous spin.

Example #2 – Dice

Consider rolling a pair of dice, and both land on 6. The odds of this happening in a fair roll are 1/36. The odds of each die landing on a 6 are 1/6.

Gambler’s Fallacy would be assuming that the odds of both dice landing on 6 again on the next roll are lower than 1/36. So, don’t bet on boxcars (hard 12).

Gambling Fallacy and Casinos Encouragement

In reality, on each roll, the odds of the dice landing on double 6’s are still 1/36 – even if that was the previous roll. This continues to be true regardless of how many times we roll the dice since the dice can’t remember what they landed on last time.

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Embrace the Math, Not the Myth

Essentially, there is no way for the last dice roll to affect the next one, the last number in roulette to affect the next one, or even if quad aces dealt in video poker affect the next deal. So never assume that these independent events affect each other. (You know what assuming means, right?)

Some people imagine that because the odds are so great against any event happening a certain number of times in succession, it is not very likely to happen again when it has happened so many times.

if you will toss a coin and put down all the times that it comes one way five times running, you will find that in just half those cases it will go the same way again. Note all the times that it goes six times one way, and you will find that in half of them it will go seven.”

From “Hoyle’s Games,” by Edmond Hoyle

Why Do So Many Gamblers Believe in Law of Small Numbers?

Essentially, people often assume that streaks of outcomes will even out in the short term to represent casino claims of payout percentages. But the short-term results mean nothing like a small sample. This is also referred to as the law of small numbers.

In gambling, the law of small numbers is when players believe that a small number of observations will reflect the general outcome.

But why is it so prevalent in recreational gambling belief systems? Basically, because human beings don’t do well with accepting randomness. It exists because people favor certainty over doubt, explanation over ignorance, causation over the association, and patterns over randomness and skill. For sports bettors, failure to truly appreciate its significance can be costly. 

Gambling Fallacy and Casino Encouragement

Of course, casinos are aware of Gambler’s Fallacy. Here are a few things that subtly pokes the demon in all of us:

Gambling Fallacy and Casinos Encouragement
Roulette display.

Roulette – roulette players are especially beholden to the Gamblers’ Fallacy. Many casino roulette tables even have LED screens that record the last 10 or 12 numbers that have appeared on the wheel.

Video Keno, Keno – some players will work very hard to track the numbers hit more often. But, listen, random = random. ‘Nuf said.

Stadium Gambling – games such as craps & baccarat will supply a display of the previous winning results, thinking that keeping track will give you insight into the future plays – but doesn’t.

Slots – Imagine a scenario where someone is on a losing streak at a slot machine, so they move to another machine. As soon as that person gets up, someone sits down at that very same machine because they believe that the machine’s “luck” is about to turn. (It’s due!) The truth is, the odds for both of these players aren’t going to change for the reasons they believe they will. This is because the random number generators (RNGs) do not account for the results of previous spins – the results are truly random to protect the integrity of the game.

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Baccarat – Every casino under the sun uses a bright, flashy display screen overhead to tantalize superstitious baccarat players. These “big boards” are equipped to display various “roads” which list the table’s previous results, important to many Asian players. So you’ll see stuff like the “Big Eyed Boy” road, the “Cockroach” road, and so on. Folks who believe previous trends can predict the future feverishly follow the big board, scribbling in their own notebooks to divine which bets to make next. Obviously, the big boards are nothing more than a way for casinos to prey on what is known as the gambler’s fallacy.

Gambling Fallacy and Casinos Encouragement
Baccarat display board.

The 53 Frenzy

The gambler’s fallacy can also lead to financial ruin and problem gambling. Here’s a story that painfully illustrates the effect of Gambler’s Fallacy.

Once upon a time, the Venice Lottery in 2005 caused quite a stir and trouble. Hundreds of Italians started placing bets on the number 53 purely because the number hadn’t been drawn for an abnormally long period of time.

Venetians bet a huge amount of euros on number 53. Some even parted with their life savings due to the fallacious perception that the odds of 53 showing up had somehow increased. It became a national obsession and led to a spate of suicides, murders, and bankruptcies.

Summary and ConclusionGambling Fallacy and Casinos Encouragement

  • The gambler’s fallacy is the mistaken belief.
  • Players show this by expecting results based on the events of previous wagers.
  • The gambler’s fallacy view is one of chance as a fair and self-correcting process.
  • To avoid the gambler’s fallacy, you should become aware why this type of reasoning is flawed.
  • When resolving the gambler’s fallacy, remember that in some cases, a sequence of highly unlikely outcomes can indicate that the events in question are not truly random or independent of one another.


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