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Pollution of the rivers in the United States has been a problem for many years. Consider the following events:
A = {The river is polluted}
B = {A sample of water tested detects pollution}
C = {Fishing permitted}
Assume:
P(A) = .3
P(B|A) = .75
P(B|A') = .20
P(C|AnB) = .20
P(C|A'nB) = .15
P(C|AnB') = .80
P(C|A'nB') = .90
find P(AUBUC),P(B'nC),P(C').
Find probability that lake contains a polutant, given that fishing is allowed and the sample tested did not contain a poluutant
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