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Solution
We have the following info given:
P(A) = 4/5
P(B)= 1/7
P(A and B) = 1/9
We want to find this probability:
P(A|B)= P(A and B)/P(B)
Replacing we got:
[tex]P(A|B)=\frac{\frac{1}{9}}{\frac{1}{7}}=\frac{7}{9}[/tex]