The events A = “the person is a female with a smart phone” and B = “the person is a male” are
independent events. The gender of a person does not depend on whether they have a smartphone or not.
The events A = "the person is a female with a smart phone" and B = "the person is a male" are mutually exclusive events. This means that they cannot occur at the same time. If a person is female with a smart phone (event A), they cannot be male (event B) at the same time.
The events A = "the person is a female with a smart phone" and B = "the person is a male" are two separate events related to gender and possession of a smart phone. The events can be mutually exclusive or can overlap, depending on the context of the situation.
To determine the relationship between events A and B, we need to consider their intersection or overlap. Here are a few possibilities:
1. Mutually Exclusive: If event A and event B are mutually exclusive, it means that a person cannot be both a female with a smart phone and a male at the same time. In this case, the intersection of events A and B is empty, and there is no overlap between them.
2. Overlapping Events: If event A and event B are not mutually exclusive, there can be an intersection between the two. For example, it is possible for someone to be a female with a smart phone and also be identified as male based on non-binary or transgender identities.
The specific relationship between events A and B would depend on the context and definitions used for gender and possession of a smart phone.