Understanding gambling begins with mathematics. While outcomes often feel random, probability, variance, and expected value (EV) govern every game.
Probability
Probability measures the likelihood of a specific outcome. For example, rolling a six on a fair die has a probability of 1 in 6. In roulette, betting on red gives roughly a 48.6% chance of winning in European roulette. Probability helps frame expectations logically rather than emotionally.
Variance
Variance shows how much outcomes can fluctuate around the average. High variance games like slots may result in big wins or losses in short sessions. Low variance games, such as baccarat, produce steadier, more predictable outcomes. Knowing variance helps in planning bankroll and understanding the risk level of different games.
Expected Value (EV)
EV represents the average outcome over many trials. For most casino games, EV is negative for the player. For instance, betting $1 on a single number in roulette has an EV of about -$0.027, meaning over time, the house retains an edge. Understanding EV clarifies why luck alone does not determine results.
Key Takeaways:
— Probability predicts the likelihood of outcomes.
— Variance indicates potential swings in results.
— Expected value shows the long-term advantage of the house.