Tree Diagrams (AQA A-Level Mathematics): Flashcards
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Tree diagram definition
Tree diagram definition
Visual representation showing all possible outcomes of a series of events
Branches in tree diagram
Branches in tree diagram
Each branch represents a possible outcome; probabilities are written along them
Nodes in tree diagram
Nodes in tree diagram
Points where branches split; represent stages or decisions
Leaves in tree diagram
Leaves in tree diagram
Ends of branches; represent final outcomes of the sequence
Calculating sequence probability in tree diagram
Calculating sequence probability in tree diagram
Multiply probabilities along the branches
Conditional prob. from tree diagram method
Conditional prob. from tree diagram method
Divide desired outcome's probability by total prob. of allowed outcomes
First step for conditional prob. in tree diagram
First step for conditional prob. in tree diagram
Highlight allowed branches relevant to the given condition
Tree diagram applications
Tree diagram applications
Multiple stages, conditional probability, complex problems
Effect of drawing without replacement
Effect of drawing without replacement
Changes probabilities for subsequent draws
Multiple paths to same outcome probability
Multiple paths to same outcome probability
Add probabilities of different paths