Probability.
Model compound events, calculate probabilities and judge experimental evidence.
Work through the topic
Learn the method, follow the examples, then try the worksheet.
- 01
Compound-event sample spaces
Build complete sample spaces and use equally likely outcomes to find compound-event probabilities.
- 02
Systematic lists, arrays, tables and trees
Use lists, arrays, tables and trees to record every stage systematically.
- 03
With/without replacement
Update a collection correctly and compare draw sequences with and without replacement.
- 04
“and” versus inclusive/exclusive “or”
Translate and/or language precisely and avoid counting overlapping outcomes twice.
- 05
Theoretical and relative-frequency estimates
Calculate relative frequencies, compare them with a model and make qualified predictions.
- 06
Simulations of simple versus related compound events
Design reproducible random simulations that preserve the rules within each compound trial.
- 07
Interpreting results
Interpret calculations and trial data without turning estimates or streaks into certainty.
Topic review
Revisit the key ideas, then choose a practice paper.