Mathematics

Mathematics

Problem

12. Check whether the following probabilities P(A)\mathrm{P}(\mathrm{A}) and P(B)\mathrm{P}(\mathrm{B}) are consistently defined (i) P(A)=0.5,P(B)=0.7,P(A∩B)=0.6\mathrm{P}(\mathrm{A})=0.5, \mathrm{P}(\mathrm{B})=0.7, \mathrm{P}(\mathrm{A} \cap \mathrm{B})=0.6 (ii) P(A)=0.5,P(B)=0.4,P(A∪B)=0.8\mathrm{P}(\mathrm{A})=0.5, \mathrm{P}(\mathrm{B})=0.4, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=0.8

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