Tree Diagrams (Grade 11 NSC Matric Mathematics): Flashcards

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Tree Diagrams
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What are tree diagrams?

Visual tools to organize sequences of events & show outcomes

When are tree diagrams most useful?

For dependent events (one outcome affects next probability)

How to find probability of a specific path?

Multiply all probabilities along that path

Finding probability when multiple paths lead to same outcome?

Add the probabilities of all relevant paths

Golden rule for tree diagram calculations

Multiply along paths, add across outcomes

What must branch probabilities from same point sum to?

1

Four components of a tree diagram

Branches, Probabilities, Outcomes, Levels

Formula for independent events P(AextandB)P(A ext{ and } B)

P(A)×P(B)P(A) \times P(B)

What are dependent events?

Events where one outcome affects probability of the next

What do branches represent?

Possible outcomes with probabilities written on them

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