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五十之一的概率。One-fifty is the number.

这些数值是概率These are probabilities.

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这事是个概率函数。It's a probability function.

你知道概率有多小么?。Do you know what the odds are?

那时,概率被第一次提出Before that, nobody ever said that.

它包含了所有可能下的概率It means all probabilities in between.

杨永兴,这是一个大概率事件。That this is a big probability events.

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让我们来考虑概率密度。let's think about probability density.

所以,高能量态的概率更小。So, lower probability for higher energy.

把它看成是一个概率密度图。Think of it as a probability density plot.

这就是概率密度,对吗?These are the probability densities, right?

我会说,我个人猜想的概率是0.45I would say--my personal probability is .45.

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它的改变是有概率分布的。There's a distribution of how it would move.

杨永兴认为,这是一个大概率事件。Believe that this is a big probability events.

这联合分布的概率是。pij And this probability together will be Pij.

比如说,我们看这个概率分布。So for example, let's look at this probability.

其中pi是某个微观状态的概率。Where the p's are the microstate probabilities.

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我想从概率的概念开始讲起I want to start with the concept of probability.

您可以用调节滑块来改变这个概率。You can use the slider to vary this probability.

二年级的学生已经学了概率函数。Sophomores have learned the probability function.