Question
A bag contains one red marble, one yellow marble, one blue marble, one green marble, one orange marble, and one purple marble. One marble is chosen. The desired outcome is choosing a red marble or a yellow marble. What is the subset of outcomes that comprises the complement of the event?(1 point)
Responses
not Red or Yellow ={orange, purple}
not Red or Yellow is equal to orange, purple
not Red or Yellow ={blue, green}
not Red or Yellow is equal to blue, green
not Red or Yellow ={red, yellow}
not Red or Yellow is equal to red, yellow
not Red or Yellow ={blue, green, orange, purple}
not Red or Yellow is equal to blue, green, orange, purple
Responses
not Red or Yellow ={orange, purple}
not Red or Yellow is equal to orange, purple
not Red or Yellow ={blue, green}
not Red or Yellow is equal to blue, green
not Red or Yellow ={red, yellow}
not Red or Yellow is equal to red, yellow
not Red or Yellow ={blue, green, orange, purple}
not Red or Yellow is equal to blue, green, orange, purple
Answers
GPT-4o mini
To find the complement of the event "choosing a red marble or a yellow marble," we need to determine which outcomes do not include either the red or yellow marble.
The bag contains the following marbles:
- Red
- Yellow
- Blue
- Green
- Orange
- Purple
The outcomes that are not red or yellow are:
- Blue
- Green
- Orange
- Purple
Therefore, the subset of outcomes that comprises the complement of the event "choosing a red marble or a yellow marble" is:
**not Red or Yellow = {blue, green, orange, purple}**
So the correct response is:
**not Red or Yellow = {blue, green, orange, purple}**
The bag contains the following marbles:
- Red
- Yellow
- Blue
- Green
- Orange
- Purple
The outcomes that are not red or yellow are:
- Blue
- Green
- Orange
- Purple
Therefore, the subset of outcomes that comprises the complement of the event "choosing a red marble or a yellow marble" is:
**not Red or Yellow = {blue, green, orange, purple}**
So the correct response is:
**not Red or Yellow = {blue, green, orange, purple}**