Combined probability · IGCSE Mathematics 0580 Simulation

About this lab: Combined probability

Interactive simulation for Cambridge IGCSE Mathematics 0580 topics 8.3 and 8.4: shade outcomes in sample space diagrams for two dice, a dice and a coin or two spinners, build tree diagrams for drawing counters from a bag with or without replacement and add the highlighted paths, place numbers in two- and three-set Venn diagrams to find the probability of any region, and work out conditional probabilities from a two-way table and its tree.

IGCSE Mathematics 0580, topics 8.3 and 8.4. Sample space diagrams, tree diagrams with and without replacement, Venn diagrams with two or three sets, and conditional probability.

Combined probability is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 8 Probability, sections 8.3 Probability of combined events, 8.4 Conditional probability (Extended)). 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 4 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

8.3 Probability of combined events. Lessons: Combined events: sample spaces and Venn diagrams, Tree diagrams.
8.4 Conditional probability (Extended). Lessons: Conditional probability.

Full syllabus map: IGCSE Mathematics 0580 topic 8.

How to use this simulation

1. Sample space.
2. Tree diagrams.
3. Venn diagrams.
4. Conditional.
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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