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Posterior Probability After Bayes Factors 5 and 2

题目

A binary hypothesis has prior probability $\frac{2}{5}$ . Independent signals arrive sequentially with Bayes factors [5, 2] in favor of the hypothesis. What is the final posterior probability after multiplying all evidence?

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数值

probability

只填写数值本身，单位 probability 已固定在输入框右侧。