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Selected topic Tree diagrams Mathematics · Probability · view full details
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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

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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