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Uniform and Non-uniform Probability
A lands on white
b lands on blue
c lands on white
d lands on blue
Question 1
Which spinner represents a uniform probability model?
Responses
A spinner Aspinner A
B spinner Bspinner B
C spinner Cspinner C
D spinner Dspinner D
Question 2
Which situation represents an event from a non-uniform probability model?
Responses
A rolling a 2 on a six-sided dierolling a 2 on a six-sided die
B landing on heads from a flip of a coinlanding on heads from a flip of a coin
C spinning yellow on a spinner with 4 equal partsspinning yellow on a spinner with 4 equal parts
D drawing a red ball from a bag that contains 5 red balls and 3 blue balls
Skip to resourcesFeature
Uniform and Non-uniform Probability
A lands on white
b lands on blue
c lands on white
d lands on blue
Question 1
Which spinner represents a uniform probability model?
Responses
A spinner Aspinner A
B spinner Bspinner B
C spinner Cspinner C
D spinner Dspinner D
Question 2
Which situation represents an event from a non-uniform probability model?
Responses
A rolling a 2 on a six-sided dierolling a 2 on a six-sided die
B landing on heads from a flip of a coinlanding on heads from a flip of a coin
C spinning yellow on a spinner with 4 equal partsspinning yellow on a spinner with 4 equal parts
D drawing a red ball from a bag that contains 5 red balls and 3 blue balls
Answers
GPT-4o mini
To answer your questions, let's clarify the concepts of uniform and non-uniform probability models:
1. **Uniform Probability Model**: In a uniform probability model, all outcomes have the same probability of occurring. This is often seen in situations where the elements are equal in size and shape or where the probabilities are explicitly stated to be equal. For example, a spinner divided into equal sections for each outcome.
2. **Non-uniform Probability Model**: In a non-uniform probability model, different outcomes have different probabilities of occurring. This can happen if some sections of a spinner are larger than others, or if certain outcomes are more or less likely based on the conditions of the scenario.
### Answers:
**Question 1: Which spinner represents a uniform probability model?**
- Without the visuals of the spinners, I can't provide a definitive answer. If any of the spinners have equal sections representing equal probabilities, that would be the uniform probability model.
**Question 2: Which situation represents an event from a non-uniform probability model?**
- The correct response is:
**D. drawing a red ball from a bag that contains 5 red balls and 3 blue balls.**
This is a non-uniform probability model because the probability of drawing a red ball is different from drawing a blue ball (5 out of 8 vs. 3 out of 8).
The other options (A, B, and C) represent uniform probability models since each of their respective outcomes has an equal chance of occurring:
- Rolling a 2 on a six-sided die (1 out of 6 chance, but the die has equal faces).
- Landing on heads from a flip of a coin (1 out of 2 chance, equal likelihood).
- Spinning yellow on a spinner with 4 equal parts (equal probability for each color).
Let me know if you have any other questions!
1. **Uniform Probability Model**: In a uniform probability model, all outcomes have the same probability of occurring. This is often seen in situations where the elements are equal in size and shape or where the probabilities are explicitly stated to be equal. For example, a spinner divided into equal sections for each outcome.
2. **Non-uniform Probability Model**: In a non-uniform probability model, different outcomes have different probabilities of occurring. This can happen if some sections of a spinner are larger than others, or if certain outcomes are more or less likely based on the conditions of the scenario.
### Answers:
**Question 1: Which spinner represents a uniform probability model?**
- Without the visuals of the spinners, I can't provide a definitive answer. If any of the spinners have equal sections representing equal probabilities, that would be the uniform probability model.
**Question 2: Which situation represents an event from a non-uniform probability model?**
- The correct response is:
**D. drawing a red ball from a bag that contains 5 red balls and 3 blue balls.**
This is a non-uniform probability model because the probability of drawing a red ball is different from drawing a blue ball (5 out of 8 vs. 3 out of 8).
The other options (A, B, and C) represent uniform probability models since each of their respective outcomes has an equal chance of occurring:
- Rolling a 2 on a six-sided die (1 out of 6 chance, but the die has equal faces).
- Landing on heads from a flip of a coin (1 out of 2 chance, equal likelihood).
- Spinning yellow on a spinner with 4 equal parts (equal probability for each color).
Let me know if you have any other questions!