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GCSE Mathematics · key term
A branching diagram that shows the possible outcomes at each stage of a process.
Used by AQA and OCR
Specification P6, P8 · Paper 1, Paper 2, Paper 3
Revise: Enumerating SetsA tree diagram shows the same choices in time order. Draw a red and a blue branch for the counter; from the end of each branch, draw heads and tails branches for the coin. Follow each complete path from start to finish to read one outcome.
A branching representation showing the possible sequences of outcomes and their probabilities.
Specification 11.02d, 11.02f · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A diagram that shows the possible outcomes of events happening in sequence, with each stage branching from the outcomes before it.
Revise: Tree DiagramsA tree diagram organises these successive events. Start with a point and draw one branch for each possible first outcome. From the end of every first branch, draw branches for the possible second outcomes.
A branching diagram that records possible successive outcomes and their probabilities.
On a tree diagram, check that the probabilities leaving every branching point add to 1.
On a tree diagram, multiply probabilities along a path. If several paths give the required event, add their path probabilities.
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