[See Solution] P(A_1)=.20, P(A_2)=40 , and P(A_2)=.40 . P(B_1 \mid A_1)=.25 . P(B_1 \mid A_2)=.05, and P(B_1 \mid A_3)=.10 Use Bayes' theorem to determine
Question: \(P\left(A_{1}\right)=.20, P\left(A_{2}\right)=40\) , and \(P\left(A_{2}\right)=.40 . P\left(B_{1} \mid A_{1}\right)=.25 . P\left(B_{1} \mid A_{2}\right)=.05\), and \(P\left(B_{1} \mid A_{3}\right)=.10\) Use Bayes' theorem to determine \(P\left(A_{3} \mid B_{1}\right)\)
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