Question
The table shows the number of marbles of each color in a bag. Which of the following tables could be used as a non-uniform probability model?
4 frequency tables of red, green, and blue marbles. Table A has 7 red, 7 green, and 7 blue marbles. Table B has 8 red, 6 green, and 10 blue marbles. Table C has 12 red, 12 green, and 12 blue marbles. Table D has 3 red, 3 green, and 3 blue marbles.
4 frequency tables of red, green, and blue marbles. Table A has 7 red, 7 green, and 7 blue marbles. Table B has 8 red, 6 green, and 10 blue marbles. Table C has 12 red, 12 green, and 12 blue marbles. Table D has 3 red, 3 green, and 3 blue marbles.
Answers
GPT-4o mini
In a non-uniform probability model, the probabilities assigned to each outcome are not equal. To determine which table represents a non-uniform probability model, we need to look for a table in which the counts of different colored marbles are not the same.
Let's analyze each table:
- **Table A:** 7 red, 7 green, 7 blue (all equal, uniform probability)
- **Table B:** 8 red, 6 green, 10 blue (counts are different, non-uniform probability)
- **Table C:** 12 red, 12 green, 12 blue (all equal, uniform probability)
- **Table D:** 3 red, 3 green, 3 blue (all equal, uniform probability)
From this analysis, **Table B** is the only one that could be used as a non-uniform probability model since it has different counts for each color of marble.
Let's analyze each table:
- **Table A:** 7 red, 7 green, 7 blue (all equal, uniform probability)
- **Table B:** 8 red, 6 green, 10 blue (counts are different, non-uniform probability)
- **Table C:** 12 red, 12 green, 12 blue (all equal, uniform probability)
- **Table D:** 3 red, 3 green, 3 blue (all equal, uniform probability)
From this analysis, **Table B** is the only one that could be used as a non-uniform probability model since it has different counts for each color of marble.