cayleeedunbar128984 cayleeedunbar128984

21-09-2020
Mathematics

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if P(A or B) =3/4, P(B) = 1/3, and P(A and B) = 1/6, find P(A)

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surjithayer10 surjithayer10

21-09-2020

Answer:

Step-by-step explanation:

P(A∪B)=3/4

P(B)=1/3

P(A∩B)=1/6

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{3}{4}=P(A)+\frac{1}{3}-\frac{1}{6}\\P(A)=\frac{3}{4}-\frac{1}{3}+\frac{1}{6}=\frac{9-4+2}{12}=\frac{7}{12}[/tex]

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