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Education Concept Tracker

A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Tree diagrams

Mathematics · Probability · procedural

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

What mastery looks like

  • 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

Check your understanding

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?

Prerequisites

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