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2.3 Exercise 8

Avg difficulty 2.5

Suppose P(A)=0.6,P(C)=0.4,P(AC)=0.3,P(AcB)=0.2,P \left(A\right) = 0 . 6 , P \left(C\right) = 0 . 4 , P \left(A C\right) = 0 . 3 , P \left(A^{c} B\right) = 0 . 2 ,

and P(AcBcCc)=0.1P \left(A^{c} B^{c} C^{c}\right) = 0 . 1.

Determine P(A∪B)CcP \left(\left(A \cup B\right)C^{c}\right), P(ACc∪AcC)P \left(A C^{c} \cup A^{c} C\right), and P(ACc∪AcB)P \left(A C^{c} \cup A^{c} B\right), if possible.

Pfeiffer, Applied Probability, 2.3 Problems on Minterm Analysis, exercise 8

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.