Mathematics

Mathematics

Problem

9. If A and B are two events such that P(A)=14,P(B)=12\mathrm{P}(\mathrm{A})=\frac{1}{4}, \mathrm{P}(\mathrm{B})=\frac{1}{2} and P(A∩B)=18\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{1}{8}, find P(not⁡A\mathrm{P}(\operatorname{not} \mathrm{A} and not B)).

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