Amanda has 4 office assistants. If $A$ is the event that at least 3 of them are men and $B$ is the event that at least 3 of them are women, are $A$ and $B$ mutually exclusive?
Choose the correct answer below.
No
Yes
Answer
Final Answer: \(\boxed{\text{Yes}}\)
Step 1 ：Define event $A$ as at least 3 of the office assistants are men and event $B$ as at least 3 of them are women.
Step 2 ：Mutually exclusive events cannot occur at the same time.
Step 3 ：If at least 3 of the office assistants are men (event $A$), then there can be at most 1 woman.
Step 4 ：Similarly, if at least 3 of the office assistants are women (event $B$), then there can be at most 1 man.
Step 5 ：Therefore, the events $A$ and $B$ cannot occur at the same time, so they are mutually exclusive.
Step 6 ：Final Answer: \(\boxed{\text{Yes}}\)
