And then we need to figure out the binomial coefficient.

然后我们需要计算出二项式系数。

And then you need to know that you needed the binomial coefficient.

然后你需要知道你需要二项式系数。

So let's write out the binomial coefficient and see if we can do something there.

所以让我们写出二项式系数，看看我们是否可以在那里做点什么。

So I'm just going to express the binomial coefficient expression in Excel.

所以我只是打算在Excel中表达二项式系数表达式。

And this is neat because it calculated the binomial coefficients.

这很简洁，因为它计算了二项式系数。

And actually, let me write this in terms of a binomial coefficient.

实际上，让我用二项式系数来写这个。

The limit as n approaches infinity-- let me write out this binomial coefficient.

n 接近无穷大时的极限——让我写出这个二项式系数。

But if you think about it that way, the binomial coefficient kind of starts to make sense.

但如果你这样想，二项式系数就开始有意义了。

And so this is why it's even called the binomial coefficient.

这就是为什么它甚至被称为二项式系数的原因。

And then you multiply it times the binomial coefficient.

然后将它乘以二项式系数。

But we did still use the binomial coefficient.

但是我们仍然使用二项式系数。

And I did that to just show you that this is the binomial coefficient on this term.

我这样做只是为了告诉你这是这个词的二项式系数。

But I just wanted to show you that we're still using the binomial coefficients.

但我只是想告诉你我们仍在使用二项式系数。

Each of the values of probabilities for each of the random variable values-- you can figure them out by using your binomial coefficients.

每个随机变量值的每个概率值——您可以使用二项式系数计算出它们。

But if you watch those or if you have a little bit of experience with this, you would recognize that this is the binomial coefficient.

但是如果你看过那些或者你对此有一点经验，你会认识到这是二项式系数。

And just so that we make it clear and connect it all to the binomial distribution, if we were to have done the n choose 0 here, what's the binomial coefficient?

为了让我们弄清楚并将其全部连接到二项式分布， 如果我们在这里完成 n 选择 0，那么二项式系数是多少？

I encourage you to review the videos I made in the probability playlist on binomial coefficients, and on this flipping of coins type of probability problems because I go a little more in detail in the actual intuition of this.

我鼓励您查看我在概率播放列表中制作的关于二项式系数的视频，以及关于这种抛硬币类型的概率问题， 因为我在实际直觉中更详细地介绍了这一点。