Tree diagrams and combined events · Grade 10

In Grade 10 you learn: tree diagrams.

A tree diagram shows every outcome of two or more events, one stage after another. Multiply along the branches to get the probability of a path. Then add the paths that give the outcome you want.

Key facts

  • Branches from the same point add up to 1.
  • Multiply along the branches for “this and then that”.
  • Add the probabilities of different paths for “this path or that path”.
  • Independent events: the second-stage probabilities are the same on every branch.
  • P(at least one) = 1 − P(none).

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