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1. In statistics, the Bayes formula is used to update our beliefs based on new evidence.
在统计学中，贝叶斯公式被用来根据新的证据更新我们的信念。
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2. The scientist applied the Bayes formula to estimate the probability of a rare event occurring in a given sample.
这位科学家应用贝叶斯公式来估计在一个给定样本中发生罕见事件的概率。
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3. Using the Bayes formula, we can calculate the likelihood of an event occurring based on previous observations.
通过使用贝叶斯公式，我们可以计算基于先前观察的事件出现的可能性。