Chapter 5

No; When a probability is based on an empirical? experiment, a probability of zero does not mean that the event cannot occur. The probability of an event E is approximately the number of times event E is observed divided by the number of repetitions of the? experiment, as shown below. Just because the event is not? observed, does not mean that the event is impossible.

True

Probability deals with experiments that yield random? short-term results or outcomes yet reveal? long-term predictability. Probability does not guarantee an exact number of outcomes for a given set of events.

illustrates that the probability of an outcome is the? long-term proportion in which a certain outcome is observed.

an event that is unlikely to occur.

P(E) + P(F) - P(E and F)

The word or in probability implies that we use the Addition Rule.

Two events are disjoint if they have no outcomes in common. In other? words, the events are disjoint? if, knowing that one of the events? occurs, we know the other event did not occur.

Independence means that one event occurring does not affect the probability of the other event occurring.? Therefore, knowing two events are disjoint means that the events are not independent.

the probability of event F given event E.

P(A and B) = P(A) * P(B|A)

an ordered arrangement of r objects chosen from n distinct objects without repetition.

Used for multiplication

Used for addition

a grouping of items in which order does not matter.