For a 20 specimens' sample of reinforced concrete beams to be tested under three non-mutually exelusive tests which are, compression (A), absorption(B), and cement content (C). The percentages of failure of the above sample beams are given below in the three Venn Diagrams., P(A UBUC)=0.42, P(ANB) -0.1, P(BNC) =0.13, P(ANC) -0.12 P(A)=0.24, P(B)=0.22, P(C)=0.26, Find the following probabilities: 1- P(ANBNC), 2- P(A UBNC), 3-P(Cn A U B)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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For a 20 specimens' sample of reinforced concrete beams to be tested under three
non-mutually exclusive tests which are, compression (A), absorption(B), and
cement content (C). The percentages of failure of the abhove sample beams are given
below in the three Venn Diagrams.,
P(A UBUC)=0.42, P(ANB)-0.1, P(BNC) 0.13, P(ANC) =0.12
P(A)=0.24, P(B)=0.22, P(C)=0.26,
Find the following probabilities:
1- P(ANBNC) , 2- P(A UBN C), 3-P(CN A U B")
Transcribed Image Text:For a 20 specimens' sample of reinforced concrete beams to be tested under three non-mutually exclusive tests which are, compression (A), absorption(B), and cement content (C). The percentages of failure of the abhove sample beams are given below in the three Venn Diagrams., P(A UBUC)=0.42, P(ANB)-0.1, P(BNC) 0.13, P(ANC) =0.12 P(A)=0.24, P(B)=0.22, P(C)=0.26, Find the following probabilities: 1- P(ANBNC) , 2- P(A UBN C), 3-P(CN A U B")
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