Dice Experiments and Probability Histogram Visualization

This example uses interactive controls to generate repeated dice outcomes and then visualizes the results as a frequency histogram, clearly demonstrating how an empirical distribution approaches the theoretical probabilities as the number of trials increases. The key mathematical ideas include random experiments, sample outcomes for a die, frequency vs. relative frequency, discrete probability distribution, and counting-based classification of outcomes. Construction highlights in GeoGebra: Random is used to generate the die results; Length and Element manage the result list and extract elements; Frequency and Histogram compute and display the distribution; Last supports accessing the most recent sample; TableText presents counts and categories in a readable table. Named objects such as 주사위결과 (dice outcomes), 주사위결과리스트 (outcome list), and 주사위결과히스토그램 (outcome histogram) connect the raw randomness to the statistical visualization. Suitable for middle/high school probability & statistics lessons, classroom demonstrations, and exploratory learning.