That's called the law of large number.

这就是所谓的大数定律。

But above all, they are betting on the law of large numbers.

但是除此以外，他们还寄期望与大数定律。

The law of large number eventually takes over.

大数定律最终会起作用。

That means over time law of large number will take over and you will lose money.

这意味着随着时间的推移，大数定律会起作用，最终你会赔钱。

But what the law of large numbers says, well, I don't care how many trials this is.

但是大数定律说的是，好吧，我不在乎这是多少次试验。

The law of large numbers just tells us that my sample mean will approach my expected value of the random variable.

大数定律只是告诉我们，我的样本均值将接近我对随机变量的期望值。

So you might say that the law of large numbers tell this, OK, after we've done 3 trials and our average is there.

所以你可能会说大数定律告诉我们，好吧，在我们完成 3 次试验并且我们的平均值就在那里之后。

The law of large numbers just tells us that this the average-- the average of all of my observations, is going to converge to 50 as n approaches infinity.

大数定律告诉我们，当 n 接近无穷大时，这个平均值——我所有观察结果的平均值，将收敛到 50。

Most of the casino don't kick you out for winning because they believe the law of large number will eventually help the casino win back any money that you've won in the short period of time.

大多数赌场不会因为你赢了钱而把你赶出去，因为他们相信大数定律最终会帮助赌场赢回你在短时间内赢得的任何钱。

The law of large numbers just says that if we take a sample of n observations of our random variable, and if we were to average all of those observations-- and let me define another variable.

大数定律只是说，如果我们从随机变量的 n 个观测值中抽取一个样本，并且如果我们要对所有这些观测值取平均值——让我定义另一个变量。

The law of large numbers will just tell us that-- let's say I have a random variable-- X is equal to the number of heads after 100 tosses of a fair coin-- tosses or flips of a fair coin.

大数定律只会告诉我们——假设我有一个随机变量——X 等于抛硬币 100 次后正面朝上的次数——抛硬币或抛硬币。

What the law of large numbers tells us is that it doesn't care-- let's say after some finite number of trials your average actually-- it's a low probability of this happening, but let's say your average is actually up here.

大数定律告诉我们的是，它并不关心——假设经过一些有限次数的试验后你的平均值实际上——发生这种情况的可能性很低，但假设你的平均值实际上在这里。