Rock Paper Scissors Extended: Fire Water Air Sponge Random Battle Simulation

① This example demonstrates an extended version of the classic Rock-Paper-Scissors game (adding Fire, Water, Air, and Sponge) as a random battle simulation in GeoGebra, showing each round's outcome and cumulative statistics. ② Core mathematical concepts include stochastic processes (each move is an independent random event), probability and statistics (frequencies and win rates of each option), and conditional logic (the non-transitive win relationships). ③ Construction highlights: uses GeoGebra commands such as Circle to draw the battle area, CountIf and Sum to tally occurrences and wins, IndexOf and Element to implement win/loss logic, with a play button and sliders to control simulation rounds; objects include points A, B, C, D etc. representing options and text labels. ④ Suitable for middle school mathematics or computer science classes to teach random simulation, probability estimation, and logical reasoning, also as a fun activity to spark interest in probability and statistics.