The following question was confusing me, so if anyone could help it would be greatly appreciated!
Suppose A, B, and C are events. Express the following events in A, B, and C.
a) Only A occurs
b) A and B occur, but C does not.
Thanks! Sorry, one last question - how would I express the fact that exactly one of the three events occurs?
Or the fact that at most one of the events occurs?
I guess I'm confused about this because in each of these cases, it's not set in stone the specific events that occur (A, B, C?).
use the union.
if exactly one occurs, then that one could be A or it could be B or it could be C.
so we have: $\displaystyle (A \cap B' \cap C') \cup (A' \cap B \cap C') \cup (A' \cap B' \cap C)$
This means one or less occur. Take what i did above as an example and try to figure this one outOr the fact that at most one of the events occurs?