Probability — Two Independent Events
Compound probability multiplies: the chance of flipping heads AND rolling a 4 is 1/2 × 1/6 = 1/12. Tree diagrams and tables make all possible outcomes visible. Students discover that listing the sample space and counting is always a valid strategy — the formula just makes counting faster.
What students explore
Compound probability multiplies: the chance of flipping heads AND rolling a 4 is 1/2 × 1/6 = 1/12. Tree diagrams and tables make all possible outcomes visible. Students discover that listing the sample space and counting is always a valid strategy — the formula just makes counting faster.
Key ideas
Calculate the probability of two independent events using multiplication. Construct sample spaces using lists, tables, and tree diagrams. Compare theoretical and experimental probability for compound events. Solve problems involving 'and', 'or', and 'not' with independent events.
Putting it together
Apply these ideas through worked examples, guided practice, and real-world problems.