Mathematics·Probability·procedural
Tree diagrams
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
Suggested ages 12–14
Evidence of understanding
- 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 Tree diagrams 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?
Standards alignment
7.SP.8US · ccss-math
Find probabilities of compound events
Common Core State Standards for Mathematics · 7
7.SP.8aUS · ccss-math
Understand the probability of a compound event
Common Core State Standards for Mathematics · 7
7.SP.8bUS · ccss-math
Represent sample spaces for compound events
Common Core State Standards for Mathematics · 7
KS3.Maths.Prob.4GB · uk-nc-2013
Theoretical Sample Spaces
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3