Using Tree Diagrams (Grade 12 NSC Matric Mathematical Literacy): Flashcards

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Using Tree Diagrams
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Tree diagram

Visual tool showing all possible probability outcomes

Sum of probabilities at branch point

Must equal 1 (or 100%)

Probability of specific path

Multiply all probabilities along that path

Probability of multiple outcomes

Add probabilities of all relevant paths

P(Heads) for fair coin

12\frac{1}{2} or 0.5

P(specific number) on standard die

16\frac{1}{6}

Meaning of 'at least 2'

That number or more (2, 3, 4, etc.)

Key rule for tree calculations

Multiply along paths, add across outcomes

Total outcomes calculation

Multiply number of options at each stage

Probability fraction form

favorabletotal\frac{\text{favorable}}{\text{total}}

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