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Magazine Problem 1
The notation \(P(F | E)\) means the probability of event _________ given event _________ .
Problem 1
Describe the difference between classical and empirical probability.
Problem 1
What does it mean when two events are disjoint?
Problem 2
What is the probability of an event that is impossible? Suppose a probability is approximated to be zero based on empirical results. Does this mean the event is impossible?
Problem 2
Suppose that \(E\) and \(F\) are two events and that \(P(E \text { and } F)=0.6\) and \(P(E)=0.8 .\) What is \(P(F | E) ?\)
Problem 3
\(\text{True or False:}\) In a combination problem, order is not important.
Problem 4
Suppose that \(E\) and \(F\) are two events and that \(P(E \text { and } F)=0.21\) and \(P(E)=0.4 .\) What is \(P(F | E) ?\)
Problem 5
True or False: In a probability model, the sum of the probabilities of all outcomes must equal 1.
Problem 6
Find the value of each factorial. \(7 !\)
Problem 6
A probability experiment is conducted in which the sample space of the experiment is, \(S=\\{1,2,3,4,5,6,7,8,9,10,11,12\\} .\) Let event \(E=\\{2,3,4,5,6,7\\},\) event \(F=\\{5,6,7,8,9\\},\) event \(G=\\{9,10,11,12\\},\) and event \(H=\\{2,3,4\\} .\) Assume each outcome is equally likely. List the outcomes in \(F\) and \(G .\) Are \(F\) and \(G\) mutually exclusive?
