
Concept explainers
The advantages of tree diagram over fundamental counting principle when finding probability.

Explanation of Solution
The fundamental counting principle states that if an event has m possible outcomes and another independent event has n possible outcomes, then there are m×n possible outcomes for the two events together.
A tree diagram on the other hand, is a visual display of all possible outcomes of compound events.
Contrary to fundamental counting principle where only analytical methods are applied to get the final answer, a tree diagram is an excellent way to visually introduce the possible outcomes to students which shows how each combination is found by following the “branches” of the tree diagram. Since visual representations are easier to understand, a tree diagram is hence more useful than the fundamental counting principle when finding possible outcomes in probability.
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