Probability · IGCSE Mathematics 0580 Simulation

About this lab: Probability

Interactive simulation for Cambridge IGCSE Mathematics 0580 topics 8.1 and 8.2: choose the counters in a bag and see each probability on the scale from impossible to certain with P(not A) = 1 - P(A), run a coin, dice, spinner or mystery dice up to thousands of times to watch the relative frequency settle towards the probability and decide whether it is fair or biased, and work out expected frequencies with a dot picture and a real simulated try.

IGCSE Mathematics 0580, topics 8.1 and 8.2. The probability scale, the probability of a single event and of it not happening, relative frequency from experiments, fair and biased, and expected frequency.

Probability is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 8 Probability, sections 8.1 Introduction to probability, 8.2 Relative and expected frequencies). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 3 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

8.1 Introduction to probability. Lessons: Introduction to probability.
8.2 Relative and expected frequencies. Lessons: Relative and expected frequencies.

Full syllabus map: IGCSE Mathematics 0580 topic 8.

How to use this simulation

1. Probability scale.
2. Relative frequency.
3. Expected frequency.
The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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