Tree Diagram for Probability
A tree diagram represents probability experiments as a series of branches, with each branch labeled with a probability. Probabilities on branches from the same node sum to 1. The probability of any complete outcome path is the product of probabilities along that path.
Real World
A medical trial for a COVID booster models the two-stage process — patient receives dose, then either develops immunity or does not — using a tree diagram where branch probabilities at each node sum to 1.
Exam Focus
Label every branch with its probability and check each pair sums to 1; multiply along branches for 'and', then add separate paths for 'or'.
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