Tree Diagrams (Leaving Cert Mathematics): Flashcards

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Tree Diagrams
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What is a tree diagram?

A visual tool that shows all possible outcomes when two or more events occur in sequence

The multiplication rule for tree diagrams

Multiply probabilities along each path/branch

When to multiply probabilities in tree diagrams

For 'and' situations (along branches/paths)

When to add probabilities in tree diagrams

For 'or' situations (across different branches)

Formula: P(A and B)P(\text{A and B})

P(A)×P(B)P(A) \times P(B)

Sum of all final probabilities must equal

11

What to write on each branch of a tree diagram

The probability of that outcome

Most common tree diagram mistake

Adding probabilities along branches instead of multiplying

First step in constructing a tree diagram

Draw branches from a starting point for the first event's possible outcomes

How to calculate final probability along a path

Multiply all probabilities along that complete path

What are compound events in tree diagrams?

Events involving two or more sequential activities

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