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The Science of Gaming: Probability Basics for Beginners
A beginner's guide to probability: what it means, how to read it as a fraction, decimal or percentage, and how to work out simple dice and card examples.
Foundations
The core ideas of chance explained from scratch.
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A beginner's guide to probability: what it means, how to read it as a fraction, decimal or percentage, and how to work out simple dice and card examples.
A quick reference to ten core probability ideas, from sample space and odds to expected value, variance and the gamblers fallacy, each defined briefly.
Learn how to tell independent events from dependent events, with coin flips and card draws, and why drawing without putting cards back changes the numbers.
Understand mutually exclusive events and the addition rule: when you can simply add probabilities and when you must subtract an overlap, with dice and cards.
Learn how odds and probability differ and how to convert between odds ratios, fractions and percentages, with checked examples and common pitfalls.
See the arithmetic behind everyday game mechanics: dice sums, card draws and spinners, with fully worked examples you can check by hand.
How probability helps with everyday choices under uncertainty: weighing likely and unlikely outcomes, comparing costs and benefits, and avoiding common reasoning traps.
Learn the core probability rules: complements, adding for either/or, multiplying for both, and handling dependent events, with worked dice and card examples.
How probability fits into game design: which parts of a game are decided by chance, which by player choices, and how designers balance the two.
What randomness really looks like: independent events, why streaks happen by chance, and why short runs of results rarely resemble long-run averages.
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