Question
box contains 5 red markers, 6 blue markers, and 5 yellow markers.
What is known about the probability model for this situation?
Select all correct answers.
Responses
The probabilities of the individual outcomes are not the same.
The probabilities of the individual outcomes are not the same.
The probabilities of the individual outcomes are the same.
The probabilities of the individual outcomes are the same.
The probability model for this situation is uniform.
The probability model for this situation is uniform.
The probability model for this situation is non-uniform.
What is known about the probability model for this situation?
Select all correct answers.
Responses
The probabilities of the individual outcomes are not the same.
The probabilities of the individual outcomes are not the same.
The probabilities of the individual outcomes are the same.
The probabilities of the individual outcomes are the same.
The probability model for this situation is uniform.
The probability model for this situation is uniform.
The probability model for this situation is non-uniform.
Answers
GPT-4o mini
To analyze the situation with the box containing 5 red markers, 6 blue markers, and 5 yellow markers, we can look at the outcomes and their probabilities.
1. **The probabilities of the individual outcomes are not the same.**
- This statement is **correct**. The total number of markers is 16 (5 red + 6 blue + 5 yellow).
- The probability of drawing a red marker is 5/16, a blue marker is 6/16, and a yellow marker is 5/16. Since these probabilities differ, the probabilities are not the same.
2. **The probabilities of the individual outcomes are the same.**
- This statement is **incorrect**. As mentioned above, the individual probabilities of drawing each color marker are different.
3. **The probability model for this situation is uniform.**
- This statement is **incorrect**. A uniform probability model implies that every outcome has the same probability. Since the probabilities of drawing red, blue, and yellow markers differ, the model cannot be uniform.
4. **The probability model for this situation is non-uniform.**
- This statement is **correct**. The probabilities differ among the outcomes (markers of different colors), so the probability model is indeed non-uniform.
**In summary, the correct responses are:**
- The probabilities of the individual outcomes are not the same.
- The probability model for this situation is non-uniform.
1. **The probabilities of the individual outcomes are not the same.**
- This statement is **correct**. The total number of markers is 16 (5 red + 6 blue + 5 yellow).
- The probability of drawing a red marker is 5/16, a blue marker is 6/16, and a yellow marker is 5/16. Since these probabilities differ, the probabilities are not the same.
2. **The probabilities of the individual outcomes are the same.**
- This statement is **incorrect**. As mentioned above, the individual probabilities of drawing each color marker are different.
3. **The probability model for this situation is uniform.**
- This statement is **incorrect**. A uniform probability model implies that every outcome has the same probability. Since the probabilities of drawing red, blue, and yellow markers differ, the model cannot be uniform.
4. **The probability model for this situation is non-uniform.**
- This statement is **correct**. The probabilities differ among the outcomes (markers of different colors), so the probability model is indeed non-uniform.
**In summary, the correct responses are:**
- The probabilities of the individual outcomes are not the same.
- The probability model for this situation is non-uniform.