What does the branching in a probability tree diagram indicate?
Understand the Problem
The question is asking what the branches in a probability tree diagram represent, specifically focusing on the options provided regarding outcomes and their relationships within the context of probability.
Answer
The branches represent possible outcomes with probabilities summing to 1.
The branching in a probability tree diagram represents all the possible outcomes at that stage of the experiment, and the sum of the probabilities of all these branches from a single node must equal 1.
Answer for screen readers
The branching in a probability tree diagram represents all the possible outcomes at that stage of the experiment, and the sum of the probabilities of all these branches from a single node must equal 1.
More Information
Probability tree diagrams visually illustrate the outcomes of a sequence of events where the branches extend from a node based on decisions or events, with each branch showing a potential outcome and its probability.
Tips
Common mistakes include not ensuring the probabilities sum to 1 at each node, or incorrectly labeling the branches, leading to errors in calculating overall probabilities.
Sources
- Probability Tree Diagram - Definition, Examples, Parts - Cuemath - cuemath.com
- In the probability tree - Probability - math.usu.edu
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