I was finishing up my statistics homework But I was unsure if I was thinking of the last problem correctly.
If $P(ABC)=0.2$, are $A$ and $C$ mutually exclusive?
My thinking is that mutually exclusive means $A\cap C = \emptyset$ And if that's true $P(ABC)$ would equal $0$, so they are not mutually exclusive.
Am I thinking about this correctly? If not could someone please help me with how to do this question?