What is the difference between mutually exclusive and exhaustive events?

Answer 1

Each is quite a different property of a set of sets.

With mutual exclusivity, there is no member is one set that is also in the other set. For more than two sets, there is no member found twice amongst all of them.

For exhaustivity, we must imagine another set. A universal set, whether it be our universe of discourse, or just a really big set. Several sets can be said to be exhaustive if, unioned together, they equal the universal set.

sets can be exhaustive without being exclusive, and exclusive without being exhaustive.

When imagining events, think of them as things that can be stored in sets. The universal set would be the set of all possible events.