Question

An experiment is performed where a 6-sided die is rolled and then a 3-color spinner is spun. The possible outcomes for each event are 1, 2, 3, 4, 5, and 6 for the 6-sided die and red (R), blue (B), and yellow (Y) for the 3-color spinner. Identify the sample space for this experiment.

Answer 1

It should be noted that the sample space for the experiment is {1R, 1B, 1Y, 2R, 2B, 2Y, 3R, 3B, 3Y, 4R, 4B. 4Y. 5R, 5B, 5Y, 6R, 6B, 6Y}

What is a sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area may contain a variety of outcomes.

Total number of outcomes in this experiment = 6 × 3 = 18

Hence, the sample space will be:

{1R, 1B, 1Y, 2R, 2B, 2Y, 3R, 3B, 3Y, 4R, 4B. 4Y. 5R, 5B, 5Y, 6R, 6B, 6Y}

Learn more about sample space on:

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