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 SS or Ω\Omega) 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:

S={1,2,3,4,5,6}S = \{1, 2, 3, 4, 5, 6\}

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:

  1. What is an event in probability theory?
  2. How do you define a sample space for flipping two coins?
  3. What is the difference between a sample space and an event?
  4. How do you calculate the probability of a specific event within a sample space?
  5. 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