Question
Which spinner could be used for a non-uniform probability model?
4 spinners. Spinner A has 2 purple, 2 yellow, and 2 green sectors. Spinner B has 5 red and 1 green sector. Spinner C has 6 sectors with all different colors. Spinner D has 3 blue and 3 red sectors.
4 spinners. Spinner A has 2 purple, 2 yellow, and 2 green sectors. Spinner B has 5 red and 1 green sector. Spinner C has 6 sectors with all different colors. Spinner D has 3 blue and 3 red sectors.
Answers
GPT-4o mini
To determine which spinner could be used for a non-uniform probability model, we need to look for a spinner that does not have equally likely outcomes for its sectors.
1. **Spinner A**: 2 purple, 2 yellow, and 2 green sectors. All sectors are equally distributed (2 of each color), so this spinner represents a uniform probability model.
2. **Spinner B**: 5 red and 1 green sector. This spinner has different amounts of each color (5 sectors are red, and 1 sector is green), leading to non-uniform probabilities for landing on red versus green.
3. **Spinner C**: 6 sectors with all different colors. With each sector being unique, this spinner also has uniform probabilities (1 of each color), so it represents a uniform probability model.
4. **Spinner D**: 3 blue and 3 red sectors. Similar to Spinner A, this spinner has equal distributions (3 of each color), representing a uniform probability model.
From the analysis, **Spinner B** is the only spinner that can be used for a non-uniform probability model due to its unequal distribution of colors between red and green.
1. **Spinner A**: 2 purple, 2 yellow, and 2 green sectors. All sectors are equally distributed (2 of each color), so this spinner represents a uniform probability model.
2. **Spinner B**: 5 red and 1 green sector. This spinner has different amounts of each color (5 sectors are red, and 1 sector is green), leading to non-uniform probabilities for landing on red versus green.
3. **Spinner C**: 6 sectors with all different colors. With each sector being unique, this spinner also has uniform probabilities (1 of each color), so it represents a uniform probability model.
4. **Spinner D**: 3 blue and 3 red sectors. Similar to Spinner A, this spinner has equal distributions (3 of each color), representing a uniform probability model.
From the analysis, **Spinner B** is the only spinner that can be used for a non-uniform probability model due to its unequal distribution of colors between red and green.