The events are non-overlapping because Event A is about the gender of the person selected, while Event B is about the profession of the person selected. Therefore, they are not related to each other and thus are non-overlapping.
Events A and B are non-overlapping because they describe two separate characteristics of the person that was selected at random from the group of doctors. Event A states that the person selected is a woman, while Event B states that the person is a surgeon. This means that the two events are describing two different characteristics of the same person, and therefore they are not overlapping. In other words, Event A does not necessarily imply Event B, and Event B does not necessarily imply Event A. For example, it is possible for the person selected to be a woman but not a surgeon, or for the person selected to be a surgeon but not a woman. As such, Events A and B are non-overlapping.
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