Math Problem Statement
The collection of all possible outcomes of a probability experiment is called
Solution
The collection of all possible outcomes of a probability experiment is called the sample space.
Explanation:
In probability theory, the sample space (denoted as or ) is the set of all possible outcomes of a random experiment. Each individual outcome in the sample space is called a sample point.
For example, if you roll a fair six-sided die, the sample space is:
This represents all possible outcomes of a single roll of the die.
Would you like more details or have any questions?
Here are some related questions you might find interesting:
- What is an event in probability theory?
- How do you define a sample space for flipping two coins?
- What is the difference between a sample space and an event?
- How do you calculate the probability of a specific event within a sample space?
- What is a complementary event in probability?
Tip: When defining a sample space, ensure it includes all possible outcomes and is mutually exclusive (no overlap between outcomes).
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Sample Space
Random Experiment
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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