Joint Probability Table: Visualizing Bivariate Random Variables

① This GeoGebra example demonstrates a joint probability table, visually presenting the probabilities of all combinations of two discrete random variables (e.g., A and B) in a tabular format. ② Core mathematical concepts include joint probability, marginal probability, conditional probability, and the normalization condition (sum equals 1), illustrating fundamental properties of bivariate discrete distributions. ③ Construction details: Based on the construction summary, multiple named objects (A2, A3, A4, B1, C1, D1, E1, B2, B3, B4, C4, C2, C3, D2, D4, D3, E2, E3, E4) are used, likely representing table cells or probability values, organized via GeoGebra's spreadsheet or text objects, possibly with sliders or input boxes for dynamic adjustment. ④ Suitable for high school or college probability and statistics courses, this resource helps explain joint distributions, independence testing, and data visualization, serving as an interactive teaching tool or student exploration environment.