Leslie has a box of markers. There are 3 black, 4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5 green markers. Which of the following is a sample space of possible outcomes for choosing one marker? o black, red, blue, brown, purple, yellow, green o brown black, black, black red, red, red, red blue, blue brown purple, purple yellow, yellow green, green, green, green, green o None of these
Leslie has a box of markers. There are 3 black, 4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5 green markers. Which of the following is a sample space of possible outcomes for choosing one marker? o black, red, blue, brown, purple, yellow, green o brown black, black, black red, red, red, red blue, blue brown purple, purple yellow, yellow green, green, green, green, green o None of these
Transcribed Image Text:### Sample Space of Possible Outcomes for Choosing One Marker
**Question:**
Leslie has a box of markers. There are 3 black, 4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5 green markers. Which of the following is a sample space of possible outcomes for choosing one marker?
**Options:**
1. ⃝ black, red, blue, brown, purple, yellow, green
2. ⃝ brown
- black, black, black
- red, red, red, red
- blue, blue
3. ⃝ brown
- purple, purple
- yellow, yellow
- green, green, green, green, green
4. ⃝ None of these
**Explanation:**
A sample space is the set of all possible outcomes of an experiment. In this context, selecting one marker from the given set of markers, the sample space should list all possible colors of the markers available.
**Analysis of Options:**
1. ⃝ **black, red, blue, brown, purple, yellow, green**:
- This option lists all the different colors available in the box of markers.
2. ⃝ **brown**
- **black, black, black**
- **red, red, red, red**
- **blue, blue**
- This option is incorrect because it repeats individual outcomes rather than listing all unique possible outcomes.
3. ⃝ **brown**
- **purple, purple**
- **yellow, yellow**
- **green, green, green, green, green**
- This option is also incorrect because, like the previous one, it repeats individual outcomes.
4. ⃝ **None of these**:
- This option suggests that none of the given choices correctly represent the sample space. However, option 1 correctly lists all the unique possible outcomes, making this option incorrect.
**Correct Answer:**
Option **1** is the correct sample space of possible outcomes for choosing one marker, as it lists all unique colors available: black, red, blue, brown, purple, yellow, and green.
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