April 2026
Beginner
288 pages
5h 34m
English
Content preview from Probability Workbook For Dummies
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Chapter 6
Against All Odds: Probability in Gaming
IN THIS CHAPTER
Differentiating terms of probability
Exploring some of the popular games of chance
Knowing what you’re up against: Gambler’s Ruin
When playing games of chance, it is important to keep in mind the laws of statistics and probability and understand the difference between odds, probability, and expected value.
A probability is a single number representing the proportion of favorable outcomes relative to the total number of possible outcomes. It is a long-term value. For example, when rolling a standard six-sided die, the probability of rolling a 4 is ⅙. It doesn’t mean that if you roll a die six times, you’ll get a 4 one time; it means that in the long term, if you roll infinitely many times, you’ll get a 4 one-sixth of the time.
Odds express the likelihood of an event as a ratio of favorable outcomes to unfavorable outcomes. There are two types: odds in favor and odds against. The formula for odds in favor is favorable outcomes to (:) unfavorable outcomes. The formula for odds against is unfavorable outcomes to (:) favorable outcomes. For example, when rolling a standard six-sided die, the odds in favor of rolling a ...
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