Course Template
Dice Histogram: From Simulation to Interaction
Course on Chance, Counting, and pygame Histograms

Didactic Objective
This course template gradually leads from a simple random simulation to an interactive, graphical evaluation in pygame. The focus is on building a traceable data basis through random numbers and frequency counts, as well as their implementation in consistent program logic (counting, checking, resetting). Based on this, the visualization as a histogram is developed: scaling, drawing bars, and inserting central key values. The template combines modeling (counter structure, state variables), structuring (functions, event processing) and implementation in a compact program flow.
Competence Focuses
- Generate random numbers with
random.randintand structure as repeatable simulation in functions. - Frequencies in a count list (
counts[0..5]) correctly lead by index reference (eye number minus 1) - Global program state (
total_rolls) controls changes and handlesglobalin functions - Consistency checks using sum formation (
sum(counts)) for error diagnosis in the counter model apply - Implement pygame basic structure (initialization, window, main loop, event handling)
- Interaction through keyboard events (SPACE/A/R) design as control of existing program functions
- Stabilize histogram visualization in pygame with proportional scaling and division-by-zero protection
Structure of building blocks
Rolling: Counting randomness and frequencies
The module establishes the counter structure (list) and the function logic for repeated rolling, including consistency check as a basis for later visualization.
pygame: Window, loop & keyboard control
The module converts the existing counter logic into an event-driven pygame program with loop, timing, and keyboard control for central actions.
Histogram: Bar heights and bars draw
The module develops the graphical representation of frequencies as a bar chart with scaled bar height and robust handling of initial states without data.
Histogram: Text & percentage values display
The module enhances the visualization with text outputs (title, absolute values, percentage) and thus strengthens the interpretable evaluation of the simulation.

Pygame Buttons: Draw & Click
This module extends the program with clickable buttons based on `pygame.Rect` and systematically connects mouse events with existing functions.
The modules build up on each other in a way that is easy to follow and makes learning objectives, state models, and evaluation steps transparent for lesson planning.
Use the demo access to test the template and adjust parameters (number of throws, display, interaction) to your study group.