Mathematics ACT Aspire Practice Test

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What is a sample space in probability experiments?

The set of all possible outcomes
The most probable outcome
The least likely outcome
The average of the outcomes

The correct answer is: The set of all possible outcomes

A sample space is defined as the set of all possible outcomes that can result from a probability experiment. This includes every possible result that could happen, giving a complete view of the scenario under consideration. For example, if you flip a coin, the sample space consists of two outcomes: heads and tails. In contrast, focusing on the most probable outcome, least likely outcome, or the average of the outcomes does not provide a comprehensive understanding of the experiment as a whole. These concepts may be useful for analyzing specific characteristics of the outcomes but do not encompass the entirety of possible results that form the sample space. Therefore, identifying the sample space as the collection of all potential outcomes is fundamental to probability studies.