Chapter 4.5, Problem 102E

(a)

To determine

To explain: If any event can have negative probability.

(b)

To determine

To explain: The meaning of two events $A$ and $B$ being disjoint.

To determine

To find: The probability of occurrence of either $A$ or $B$.

(c)

To determine

To explain: The meaning of the rule $P\left(S\right)=1.$

(d)

To determine

The name of the event describing nonoccurrence of any provided event.

To determine

To find: The probability of nonoccurrence of event $A$.

(e)

To determine

To explain: The meaning of event $\left\{A\text{ and }B\right\}$ for two independent events $A\text{ and }B$.

To determine

To find: The probability of the event $\left\{A\text{ and }B\right\}$ when $A\text{ and }B$ are independent.