Don’t worry, you don’t need to be a math wizard to understand some of the math involved in gambling.
What’s more important is the concepts the math applies to, like the House Advantage, Randomness, Odds, Probability, and the Independence of Events.
Let’s get into the math of the Odds and Probability.
Gambling is based entirely on odds and probabilities. In most cases players are more likely to lose money instead of win. While odds and probability give us an idea of what the likelihood of winning is, they cannot predict 100% of an outcome.
Odds describe how likely something is to happen represented as a ratio. Odds display the balance between risk and reward.
If something is unlikely to happen, the odds are higher and the payout is bigger because it is harder to win. If something is more likely to happen, the odds are lower and the payout is smaller because it is easier to win.
When it comes to gambling, odds tell you two things:
The chance of winning
The amount you’ll will get if you win.
A standard roulette wheel has 38 numbers (1 to 36, 0, and 00).
- Your chance of winning is 1 out of 38.
- The casino’s payout for that bet is 35 to 1.
If someone bets $1 and wins, they receive $35 plus their initial bet of $1. The odds (35:1) show both the risk (small chance of hitting the winning number) and the potential reward (the payout if a win is secured).
Probability is the measure of how likely something is to happen expressed as a percentage. Probability describes the chance of a particular outcome occurring, such as drawing a certain card or winning a bet.
The higher the probability, the more likely the event is to occur; the lower the probability, the less likely it is.
If an event has a 25% probability, it means it is expected to happen about 25 times out of 100 attempts over the long run.
A simple example of probability is flipping a fair coin. There are two possible outcomes: heads or tails.
The probability of getting heads is 1 out of 2, or 50%. Over many flips, one can expect heads to come up about half the time.
Are odds and probability the same thing then?
They may seem like two concepts expressed in different ways, but they are different from one another.
- Probability tells you how likely something is to happen. For example, the probability of rolling a 3 on a six-sided die is 1 out of 6 (about 16.7%).
- Odds compare the chance of winning to the chance of losing. Using the same die, the odds of rolling a 3 are 1 to 5, because there is 1 way to win and 5 ways to lose.
Probability focuses on the chance of an event happening, while odds show the ratio of winning to losing. Both help players understand risk and potential reward. Odds reset each time the VLT or slot is spun, dice are rolled, cards are shuffled, etc.