don steward
mathematics teaching 10 ~ 16

Friday 28 April 2017

combined probability diagrams

there are various diagrams that can be used to help calculate combined probabilities (two events, with and without replacement)

a suggested progression:
  • array
  • route
  • frequency tree
  • probability tree 

a route diagram may help students to appreciate why you multiply along the branches

with replacement powerpoint
without replacement powerpoint

with replacement:

without replacement the diagonal is removed (because you can't pick the same ball twice):

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