Tree diagrams (OCR GCSE Maths): Flashcards
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What is a tree diagram?
What is a tree diagram?
A tool to represent a series of events and their probabilities
When to use tree diagrams
When to use tree diagrams
When more than one experiment or event is happening
Can tree diagrams be used for non-independent events?
Can tree diagrams be used for non-independent events?
Yes, for both independent and non-independent events
First rule of tree diagrams
First rule of tree diagrams
Multiply probabilities across the branches
Second rule of tree diagrams
Second rule of tree diagrams
Add probabilities down the branches
When to multiply probabilities in tree diagrams
When to multiply probabilities in tree diagrams
For combined probability of a sequence of events
When to add probabilities in tree diagrams
When to add probabilities in tree diagrams
When an outcome can happen in multiple ways
With replacement, what happens to probabilities?
With replacement, what happens to probabilities?
Probabilities remain the same for each pick
Without replacement: effect on probabilities
Without replacement: effect on probabilities
Total number decreases, so probabilities change
What are independent events?
What are independent events?
Outcome of one event doesn't affect the other