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Bibliothek/Math/Probability

Probability animation videos

Browse curated Probability animation examples in Math, including reusable Manim scenes, visual proofs, and teaching-ready ideas.

Math · 3 Animationen

Permutations vs Combinations

Permutations vs Combinations

This animation contrasts permutations (order matters) with combinations (order doesn't matter) using a concrete example of choosing 2 items from {A, B, C}. A tree diagram visually enumerates all 6 permutations, then groups are collapsed to show only 3 combinations, making the divide-by-r! factor intuitive.

Central Limit Theorem

Central Limit Theorem

Demonstrates the Central Limit Theorem by starting with a non-normal (uniform) population, then repeatedly drawing samples of size n=30 and computing their means. As more sample means are collected, the histogram of means converges to a bell curve regardless of the original distribution's shape.

Probability Distributions

Probability Distributions

Introduces three fundamental probability distributions — Normal, Binomial, and Poisson — with visual representations and key formulas. For the Normal distribution, the 68-95-99.7 empirical rule is animated by progressively shading regions under the bell curve.

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