Textbook Problem

Let $E$ and $F$ be events in a sample space $S$.

(a) The probability of $E$ or $F$ occurring is $P\left(E\cup F\right)=$ _________.

(b) If the events $E$ and $F$ have no outcome in common (that is, the intersection of $E$ and $F$ is empty), then the events are called ___________ ____________. So in drawing a card from a deck, the event $E$, “getting a heart,” and the event $F$, “getting a spade,” are ____________ ___________.

(c) If $E$ and $F$ are mutually exclusive, then the probability of $E$ or $F$ is $P\left(E\cup F\right)=$ _________.