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A tree diagram is helpful when finding the number of __________.ResponsesA outcomesoutcomesB participants

Question

A tree diagram is helpful when finding the number of __________.

Responses
A. outcomes
B. participants

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Solution

A tree diagram is helpful when finding the number of outcomes.

In probability and combinatorics, tree diagrams are used to visually represent all possible outcomes of a set of events. Each branch of the tree represents a different outcome for each event, making it easy to enumerate all possibilities. When performing probability calculations or analyzing decision-making processes, tree diagrams facilitate understanding by clearly displaying all potential results. On the other hand, while participants can be involved in various scenarios represented in tree diagrams, the primary purpose of the diagram is to enumerate outcomes rather than participants. Thus, the correct response is A: outcomes.

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