Question
hich of the following would be considered a non-uniform probability model?
A) Drawing a club out of a deck of cards.
B) Rolling two dice that have a sum of 8.
C) Putting the letters of the alphabet in a container and drawing out the letter
.
D) Choosing a boys name out of a cup that contains 10 girls' names and 10 boys' names.
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A
B
C
D
A) Drawing a club out of a deck of cards.
B) Rolling two dice that have a sum of 8.
C) Putting the letters of the alphabet in a container and drawing out the letter
.
D) Choosing a boys name out of a cup that contains 10 girls' names and 10 boys' names.
This feature does not work with a screen reader. Please use shapes, lines, or other tools available below to annotate the page. Pressing enter on this button enables or disables the feature.
A
B
C
D
Answers
GPT-4o mini
A non-uniform probability model is one where not all outcomes are equally likely. Let's analyze each option to see which one fits that description:
A) Drawing a club out of a deck of cards.
- There are 52 cards in total, and 13 of them are clubs. The probability of drawing a club is \( \frac{13}{52} \), which is not uniform compared to drawing any specific card (which has a probability of \( \frac{1}{52} \)). So, this is a uniform probability model.
B) Rolling two dice that have a sum of 8.
- The combinations that can result in a sum of 8 are not equally likely (e.g., (2,6) and (3,5) are two combinations, but (4,4) is only one). Therefore, this represents a non-uniform probability model.
C) Putting the letters of the alphabet in a container and drawing out a letter.
- Each letter has an equal chance of being drawn (since there are 26 letters in the alphabet), making this a uniform probability model.
D) Choosing a boys name out of a cup that contains 10 girls' names and 10 boys' names.
- If you are only choosing from the boys' names, the probability of selecting any one boys' name is equal, provided each boys' name has the same number. Thus, this scenario would be uniform too.
Based on the analysis:
The correct answer is **B) Rolling two dice that have a sum of 8.**
A) Drawing a club out of a deck of cards.
- There are 52 cards in total, and 13 of them are clubs. The probability of drawing a club is \( \frac{13}{52} \), which is not uniform compared to drawing any specific card (which has a probability of \( \frac{1}{52} \)). So, this is a uniform probability model.
B) Rolling two dice that have a sum of 8.
- The combinations that can result in a sum of 8 are not equally likely (e.g., (2,6) and (3,5) are two combinations, but (4,4) is only one). Therefore, this represents a non-uniform probability model.
C) Putting the letters of the alphabet in a container and drawing out a letter.
- Each letter has an equal chance of being drawn (since there are 26 letters in the alphabet), making this a uniform probability model.
D) Choosing a boys name out of a cup that contains 10 girls' names and 10 boys' names.
- If you are only choosing from the boys' names, the probability of selecting any one boys' name is equal, provided each boys' name has the same number. Thus, this scenario would be uniform too.
Based on the analysis:
The correct answer is **B) Rolling two dice that have a sum of 8.**