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# Math 153 Chapter 5

### Probability & Counting Methods

The word "OR" in probability indicates which operation Addition
What is the probability of an event that is​ impossible? 0
Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is​ impossible? No
True or false​: In a probability​ model, the sum of the probabilities of all outcomes must equal 1. True
In​ probability, a(n)​ ________ is any process that can be repeated in which the results are uncertain. experiment
If E and F are disjoint​ events, then P(E or F)= ______________. P(E) + P(F)
If E and F are not disjoint​ events, then​ P(E or F)equals=​_____________________. P(E) + P(F) – P(E and F)
Two events E and F are​ _____________ if the occurrence of event E in a probability experiment does not affect the probability of event F. independent
The word and in probability implies that we use the​ ______________ rule. multiplication
True or false: When two events are​ disjoint, they are also independent. False
The notation p(F|E) means the probability of event__ given event __ F, E
A___ is an ordered arrangement of r objects chosen from n distinct objects without repetition permutation
A___ is an arrangement of r object chosen from n distinct objects without repetition and without regard to order combination
In combination problem, order is not important True or False True
In a probability model, the sum of the probabilities of all outcomes must equal 1 True or False True
In probability a(n) _ is any process that can be repeated in which the results are uncertain. experiment
Two events E and F are _ if the occurrence of event E in probability experiment does not affect the probability of event F independent