You have (100 A_{k}), numbered from 1 to 100 , and (f_{text {pre }}(k)=k^{2} / 338350). You

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You have \(100 A_{k}\), numbered from 1 to 100 , and \(f_{\text {pre }}(k)=k^{2} / 338350\). You make observation \(B_{1}\), and see that \(g(k)=P\left(B_{1} \mid A_{k}ight)=1 / k\). What are the posterior probabilities \(P_{\text {post }}\left(A_{k}ight)\) ?

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