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Chapter 9: Problem 12

Find the sample space for the experiment. You select two marbles (without replacement) from a bag containing two red marbles, two blue marbles, and one yellow marble. You record the color of each marble.

Short Answer

Expert verified
The sample space S = {(red, red), (red, blue), (red, yellow), (blue, blue), (blue, red), (blue, yellow), (yellow, red), (yellow, blue)}.

Step by step solution

01

Identify the Total Number of Marbles

The exercise stipulates that the bag contains two red marbles, two blue marbles, and one yellow marble. This results in a total of five marbles.
02

Determine Possible Outcomes

With 5 marbles in total we can proceed to identify the possible ways of choosing two. These are: (red, red), (red, blue), (red, yellow), (blue, blue), (blue, red), (blue, yellow), (yellow, red), (yellow, blue). Hence, there are 8 total possible outcomes.
03

Create the Sample Space

The sample space will consist of the eight outcomes identified in Step 2. Therefore, the sample space is S = {(red, red), (red, blue), (red, yellow), (blue, blue), (blue, red), (blue, yellow), (yellow, red), (yellow, blue)}.

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Most popular questions from this chapter

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