7
QuizMultiple Choice

Sample Space

Question 7 • CARE_24_25_TX-Mathematical Models with Applications B

When dealing with the occurrence of more than one event, what multiplication process can be used to easily determine all possible combinations without listing the entire sample space?

Answer
A
experiment
B
tree diagram
C
theoretical probability
D
counting principle

Explanation

The counting principle uses multiplication to find the total number of possible outcomes across multiple events. For example, if one event has 3 outcomes and another has 4, there are 3 × 4 = 12 combinations, without listing them all. Therefore, the correct choice is the counting principle.

AI-written and checked against the verified answer.

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