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In fact, you'll find the probability of this happening 3% is only about 3 percent, of it happening just by accident.
实际上你会发现,出现这种情况的概率是，所以说他们的实验结果完全是偶然的。
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So the probability of having an electron at the nucleus in terms of probability per volume is very, very high.
在单位体积内发现,一个电子的概率非常非常大。
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It takes on the value 1 with the probability of 20% and the value of 0 with the probability of 80%.
等于1的概率是20%,等于0的概率是80%
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And this is proportional to the probability of finding an electron.
它和观察的电子云概率,成正比关系。
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What they did is, they looked at 12 months, they took the months with the most births in it, which happened to be June, and calculated the probability of 3 percent.
俄克拉荷马神枪手谬误，他们看了十二个月的人数，然后选择了出生人数最多的一个月？,正好是6月，然后计算出3%的概率。
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So the number for the... The payoff for the shooter is his probability of scoring and the payoff for the goal keeper is just the negative of that.
对罚球者来说,他的收益是进球的概率,而门将的收益是其相反数
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So, once we figure out what our probability of backscattering is, we'll just raise that to the 1/2, and we'll multiply that by 12 . 20 centimeters.
所以一旦我们,知道了散射概率，我们开根号。
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But still, when we're talking about the radial probability distribution, what we actually want to think about is what's the probability of finding the electron in that shell?
但当我们讲到径向概率分布时,我们想做的是考虑，在某一个壳层里,找到电子的概率,就把它想成是蛋壳？
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And when we do that we can see this curve, this probability curve, where we have a maximum probability of finding the electron this far away from the nucleus.
当我们这样做时，我们可以看到这个曲线，这个概率分布曲线，这里有发现,电子的最大概率。
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Right, this makes a lot of sense because if the entire atom was made up of nuclei, then we would have 100% probability of hitting one of these nuclei and having things bounce back.
因为如果整个原子,都是原子核，那我们就有100%概率,撞到一个原子核并被弹回来,所以如果我们。
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That says that if you have independent probabilities, then the probability of two events is equal to the product of their probabilities.
意思是,几个相互独立的事件,其中两个事件同时发生的概率,等于他们分别发生的概率的乘积
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It uses the binomial distribution to calculate the probability of getting any specific number of accidents.
保险公司就可以用二项分布公式,来计算特定数目事故发生的概率
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You think, some other day, I don't want to talk today about the probability of one of us dying.
你会想,还是改天再说吧,我今天不想讨论家人会有多少可能性会去世
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We're saying the probability of from the nucleus in some very thin shell that we describe by d r.
某一非常薄的壳层dr内,一个原子的概率,你想一个壳层时。
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All right. So now all we have to do is figure out this probability of backscattering.
在乘以12。20厘米,好，现在只要。
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So, they started to do collecting of data on mortality and they developed something called actuarial science, which is estimating the probability of people living.
他们开始收集死亡率的数据,并且发展出精算学,用来估算人在各年龄段死亡的概率
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So, the quantum mechanical interpretation is that we can, in fact, have probability density here and probability density there, without having any probability of having the electron in the space between.
量子力学给出的解释是，实际上，我们可以在这有概率密度，在这里有概率密度,但在两个之间没有。
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But there's also a way to get rid of the volume part and actually talk about the probability of finding an electron at some certain area within the atom, and this is what we do using radial probability distribution graphs.
除去体积部分,来讨论,在某些区域内,发现一个原子的概率,我们可以，用，径向概率分布图,它是。
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What I want to do is I want to draw a picture here, in which on the horizontal axis, I'm going to put the probability of the other guy choosing Right.
我要在这里画一张图,坐标系的横轴,表示对手选右的概率
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But what we're saying is there's a node here, so that there's no probability of finding an electron between those two points.
但我们说在节点这里，这两点是,不可能发现电子的。
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The answer is, in fact, there is zero, absolutely zero probability of finding a electron here.
实际上它在这里是为零的，在这里找到电子的概率严格等于零。
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It's a table showing the probability of dying at each age, for each age and sex.
这个图表反映了两性在不同年龄段中,死亡的概率
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But in our case, the probability of backscattering is going to be the number of balls that backscatter, and that's going to be divided by the total number of ping-pong balls.
用20除以132000，但现在背散射,的概率是被散射回来的小球，除以总的小球数,你们记得。
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So that's here, and if I knew they were choosing Right for sure, that's the probability of 1 that they're choosing Right, and if I choose Middle I get 4, that's here.
对应的是这个点,如果说对手肯定选右,即他们选右的概率是1,此时我选中的收益是4,就是这个点
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And if we go ahead and square that, then what we get is a probability density, and specifically it's the probability of finding an electron in a certain small defined volume away from the nucleus.
我们得到的是，一个概率密度，它是，在核子周围，某个很小的,特定区域,找到电子的概率,所以它是概率密度。
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So if we take this term, which is a volume term, and multiply it by probability over volume, what we're going to end up with is an actual probability of finding our electron at that distance, r, from the nucleus.
如果我们取这项，也就是体积项然后，乘以概率除以体积，我们能得到的就是真正在距离,原子核ｒ处找到电子的概率。
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So if we compare l increasing here, so a 3 s to a 3 p to a 3 d, what we find is that it's only in the s orbital that we have a significant probability of actually getting very close to the nucleus.
我们比较当ｌ变大的时候，从３ｓ到３ｐ到３ｄ,我们可以发现只有ｓ轨道,有很大的概率,非常接近原子核。
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