Find the number of possible outcomes in the sample space....

Find the number of possible outcomes in the sample space. Then list the possible outcomes.

A bag contains four red cards numbered 1 through 4, four white cards numbered 1 through 4, and four black cards numbered 1 through 4. You choose a card at random.

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Key Concepts

Sample Space

The sample space is the complete set of all possible outcomes in an experiment. In probability, it represents every distinct outcome that can occur, and understanding it is fundamental to analyzing events and scenarios.

Fundamental Counting Principle

The Fundamental Counting Principle (or multiplication principle) is used to calculate the total number of outcomes when there are several independent choices. By multiplying the number of ways each individual choice can occur, you determine the total number of possible combined outcomes.

Cartesian Product

The Cartesian product is a mathematical concept used to describe the product of two sets, yielding all possible ordered pairs where the first element comes from the first set and the second element comes from the second. This concept is analogous to pairing elements such as color and number to form the outcomes in the sample space.

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