Let A and B be disjoint events. This means that, if either A or B occurs, it is impossible for the other event to occur. To come up examples, we will think of similar events where the occurrence of one means that the other is impossible.
Event A
Event B
Drawing a 10 from a deck of cards.
Drawing a 2 from a deck of cards.
It will rain all day on Friday.
It will be sunny all day on Friday.
Miguel wins first place in the race.
Miguel wins second place in the race.
Examples of Overlapping Events
Now let A and B be overlapping events. This means that there is a chance that both events will occur. Note that the events do not have to occur at the same time, and that it is not necessary that the occurrence of A causes the occurrence of B, it is just a possibility. Let's look at some examples!
