Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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Which of the following best defines sample space in probability?

Total set of all possible results
Specific outcomes of an experiment
The collection of successful outcomes
The average outcome expected

The correct answer is: Total set of all possible results

The concept of sample space in probability refers to the total set of all possible results that can occur from a given random experiment. For example, if you flip a coin, the sample space consists of two possible outcomes: heads and tails. Similarly, for rolling a six-sided die, the sample space includes the numbers 1 through 6. Defining sample space as the total set captures the essence of this concept, as it encompasses every possible outcome without limitation. This is crucial in probability as it serves as the foundation upon which probabilities are calculated for specific outcomes or events. Understanding the sample space is essential for determining the likelihood of various outcomes, as it allows one to see the full range of possibilities.