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Introduction to Probability Theory & Statistics

Kickstart your journey into probability theory and statistics with this animated primer. We define probability as the chance of events, using Venn diagrams and colored balls to illustrate rules like P(A∪B)=P(A)+P(B)−P(A∩B) and conditional probability. Then dive into descriptive statistics by summarizing test-score data: calculate mean (𝑥̄), median (M), and mode with intuitive icons. Explore variability with a bell curve and ruler metaphor to explain variance and standard deviation, and conclude with foundational inference: confidence intervals around sample means and the concept of p-values for hypothesis testing. Engaging visuals and clear narration make these core concepts easy to understand, preparing you for deeper statistical adventures.