Coin Toss Random Simulation and Expected Value Variability

This example demonstrates a coin-toss simulation where random outcomes are generated and visualized as the experiment progresses. It focuses on probability and statistics concepts such as event counting (how many times heads/tails occur), variability/dispersion (intuitive connection to variance), and the role of expected value in long-run behavior. Construction is based on GeoGebra commands and objects from the provided setup: Random is used to generate the stochastic event (event), while CountIf is used to count occurrences meeting specified conditions, producing the heads and tails totals (results). Interface objects like button1 and button2 control running and updating the simulation, and the measured values are displayed or graphically represented through objects such as A, B, C, D, pic1, pic2, and textual readouts text1 and text2. Suitable for middle school to early university, especially for teaching introductory probability, simulating random processes, and building intuition about expectation and variance.