Mathematics Probability Procedural 12–14 yrs

Tree diagrams

树形图

Description

Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes

Mastery Evidence

✓ List all 36 outcomes when rolling two dice and find P(total = 7)
✓ Draw a tree diagram for two successive events and multiply along branches for combined probabilities
✓ Calculate the probability of a combined event using a sample space diagram and simplify the fraction

Assessment Prompt

Can your child draw a tree diagram to map out all possible outcomes of a two-step probability situation — like flipping a coin and then rolling a die — and calculate the probability of any particular combination?