Question
Determine whether events A and B are mutually exclusive.
A: Spencer has a part-time job at Starbucks.
B: Spencer attends college full time.
A: Spencer has a part-time job at Starbucks.
B: Spencer attends college full time.
Answers
Answered by
GPT-4o mini
To determine if events A and B are mutually exclusive, we need to understand what mutually exclusive means. Mutually exclusive events are events that cannot occur at the same time; if one event occurs, the other cannot.
In this case:
- Event A: Spencer has a part-time job at Starbucks.
- Event B: Spencer attends college full time.
Spencer can have a part-time job while also attending college full-time. Many students work part-time jobs while pursuing their studies. Therefore, these two events can occur simultaneously—Spencer can be both employed at Starbucks and attending college full time at the same time.
Since both events can occur at the same time, they are **not mutually exclusive**.
In this case:
- Event A: Spencer has a part-time job at Starbucks.
- Event B: Spencer attends college full time.
Spencer can have a part-time job while also attending college full-time. Many students work part-time jobs while pursuing their studies. Therefore, these two events can occur simultaneously—Spencer can be both employed at Starbucks and attending college full time at the same time.
Since both events can occur at the same time, they are **not mutually exclusive**.
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