Casino Glossary

The average amount a player can expect to win or lose per bet over an extended period. Calculated by multiplying each possible outcome by its probability and summing the results. A negative EV indicates the house edge favors the casino. Understanding EV is crucial for evaluating whether any bet offers favorable odds for the player.

The mathematical advantage the casino maintains over players, expressed as a percentage of the original bet. For example, if a game has a 2% house edge, the casino expects to earn $2 for every $100 wagered over time. Different games have different house edges; understanding these percentages helps players make informed decisions about which games to play.

A statistical measure of how much game outcomes fluctuate around the expected value. High variance games have greater swings between wins and losses, while low variance games provide more consistent results. Variance affects your bankroll's volatility and the likelihood of experiencing short-term winning or losing streaks.

The square root of variance, showing how much results typically deviate from the average outcome. A higher standard deviation indicates more unpredictable results over short periods. This metric helps players understand the range of potential results they might experience during a gaming session.

The percentage of all wagered money that a game is designed to return to players over time. An RTP of 96% means the game returns $96 for every $100 bet on average, with the remaining 4% representing the house advantage. Higher RTP percentages are generally more favorable to players, though all casino games maintain a mathematical edge for the house.

True odds represent the actual mathematical probability of an outcome occurring, while payout odds reflect what the casino actually pays out if you win. The difference between these two is where the house edge lies. For example, the true odds of flipping heads are 1:1, but casinos may pay less, giving them their mathematical advantage.

The total amount of money a player allocates for gambling purposes. Proper bankroll management involves setting aside a specific amount you can afford to lose and dividing it strategically across betting sessions. A well-managed bankroll helps players sustain longer play sessions and reduces the risk of catastrophic losses.

Similar to variance, this describes how dramatically a game's results can swing. Volatile games feature larger wins and losses interspersed with dry spells, while stable games offer more frequent, smaller wins. Choosing appropriate volatility levels based on your bankroll and risk tolerance is essential for responsible gaming.

A mathematical formula for determining optimal bet sizing based on winning probability and odds offered. The Kelly Criterion helps calculate the fraction of your bankroll to wager on each bet to maximize long-term growth while minimizing ruin risk. Many professional bettors use this formula to manage their betting units strategically.

The relationship between the probability of an event occurring versus it not occurring. Expressed as ratios like 2:1, odds ratios help players quickly understand the likelihood of outcomes. Understanding odds ratios is fundamental for evaluating whether a bet's payout fairly reflects its probability.

The decline in your bankroll from its peak to its lowest point during a gaming session or series of sessions. Understanding potential draw downs helps players prepare mentally and financially for inevitable losing streaks. Statistical analysis can project likely draw down percentages based on a game's variance and house edge.

The mathematical probability that a player will lose their entire bankroll before reaching their target profit. This calculation depends on win rate, odds, and bankroll size. Calculating risk of ruin helps players set realistic goals and appropriate bankroll sizes for their desired activity level.