Repeated Coin Flips Simulation and Heads Proportion Plot

This example simulates repeated coin flips and visualizes how the proportion of heads accumulates and evolves as the number of trials increases, providing an intuitive view of statistical stabilization over time. It centers on probability & statistics ideas such as independent repeated trials, sample proportion (empirical heads frequency), and sequences that update step-by-step with each new flip. The construction uses GeoGebra commands and objects including Sequence to generate the trial index n, and iterative bookkeeping of points and partial results (pts, partialPts, currentPt, currentProp). Element and Text are used to manage variables like numHeads and numTails and to display dynamic readouts (button1, propText, text1/text2/text3). PolyLine builds the evolving chart/trajectory (chart, flips), connecting each incremental proportion to form a time-ordered plot. Suitable for secondary school through early university, especially for demonstrations, exploratory learning, and introductory work with random processes.