complement, union, intersection

complement

The complement of an event $A$ , denoted by $A^{\prime }$, is the set of all outcomes in $\mathcal{S}$ that are not contained in $A$.

union

The union of two events $A$ and $B$ , denoted by $A\cup B$ and read ” $A$ or $B$,” is the event consisting of all outcomes that are either in $A$ or in $B$ or in both events (so that the union includes outcomes for which both $A$ and $B$ occur as well as outcomes for which exactly one occurs)-that is, all outcomes in at least one of the events.

intersection

The intersection of two events $A$ and $B$ , denoted by $A\cap B$ and read ”$A$ and $B$”, is the event consisting of all outcomes that are in both $A$ and $B$ .

• EX 2.8 operations on events of EX 2.3
• EX 2.9 operations on events of EX 2.4