Tree Diagrams (AQA GCSE Maths): Flashcards

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Tree diagrams
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What do tree diagrams calculate?

Probabilities for combinations of events

Addition rule at branch points

Probabilities on branches at a point add to 1

Multiplication rule along branches

Multiply probabilities along branches for end probability

Verification rule for end probabilities

All end probabilities must sum to 1

Addition rule for final answers

Add up the relevant end probabilities

Effect of replacement on draws

Draws are independent, probabilities stay the same

Strategy for 'at least' questions

Calculate 1 minus probability of 'none' or 'less than'

Complement of 'at least one'

None

How to find probability of specific sequence

Multiply probabilities along the branches

Adding mutually exclusive event probabilities

Add their individual probabilities together

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