我们讨论的是概率，但我们说的是最可能的半径，离原子核更远。
We are talking about probability, but what we're saying is that most probable radius is further away from the nucleus.
虽然大多数致病突变在人类中发现的概率为千分之一到百万分之一，但基础突变发生的几率可能高得多。
While most disease-causing mutated are found in humans at a rate of one in a few thousand to one in a few million people, founder mutation can occur at much higher rates.
您很可能遇到过这样的情况：需要一个随机的数来代表一个概率（比如，30%或 55%）。
There may be some situations in which you need a random number that represents a probability (as in, 30 percent or 55 percent).
举例来说当我们讨论径向概率分布时，距离原子核最可能的半径是，比s轨道半径，更近的可以离原子核有多近。
For example, when we're talking about radial probability distributions, the most probable radius is closer into the nucleus than it is for the s orbital.
对于防止为了计算每一种可能性而进行的大量计算，以及为此消耗的大量时间（即使所有世界状态的变迁概率都已知），这样的做法是非常有益的。
This can be extremely beneficial in cases where calculating every possibility is very time consuming (even if all of the transition probabilities between world states were known).
我们知道我们的流程在活动a执行之前事实3发生的可能性和概率非常小。
Knowing our process we determined that the likelihood and probability of Fact 3 occurring before activity a is extremely low.
但是阿尔法淀粉酶最高的一组妇女有12%的可能性不能怀孕。在最有机会生育的天数内，她们每天比阿尔法淀粉酶最低的一组妇女的怀孕概率低了12%。
But women in the group with the highest levels of alpha-amylase had a 12% lower chance of falling pregnant for each day of their most fertile days than those with the lowest levels of alpha-amylase.
这次，他把焦点集中在他所称的——路上最可能出风险的个体：男性多动症青少年，因为他们出事故的概率是普通人群的两倍。
This time, he focused on what he calls the single most risky demographic on the road? Teenage boys? Whose crash rate is twice that of the general population.
这只是无数可能的概率分布的一种。
This is just one of a myriad of possible probability distributions.
一部分观众留意到任何序列发生的概率一样高，所以他们更可能会写下全部正面朝上，或全部反面朝上的序列。
There, a part of the audience recognizes that any series is equally probable, so they are more likely to put down all heads or all tails.
债券可以被看做是一种可能带来灾难的保险，因为它可以获得报酬，同时遭受严重损失的概率又很小。
The bonds can be viewed as a kind of catastrophe insurance for which a premium is received in return for a small chance of a big loss.
当我们考虑，能级被占据的概率的时候，这个式子意味着在任何温度下，最低能量的状态总是最有可能被占据的。
When we looked at this probability distribution for the occupancies of the levels, of course, what it says is at any temperature, he lowest level is the most probable.
据某些全球环流模型预测，21世纪的亚马逊地区可能更干燥。这种概率的上升有可能促使亚马逊成为火灾多发区。
The higher probability of a drier Amazon in the 21st Century predicted by some global circulation models... may push Amazonia towards an amplified fire-prone system.
一个对韩国妇女的调查显示，丈夫抽烟的妇女得肺癌和乳腺癌的概率明显比其他人高，而且很大可能是因为吸食二手烟。
A study of Korean women found significantly higher risks of lung cancer and breast cancer among those whose husbands smoked, most likely from the effects of secondhand smoke.
多生孩子。并不是说要像那个八胞胎妈妈一样，但是生的孩子越多，从概率上来讲生双胞胎的可能性就越大。
Have a lot of kids. No Ocotomom stuff, but the more kids you have, the greater your chances of conceiving twins are mathematically.
加州卫生服务部的埃里·卡维斯硕士研究员，表示面向公众的健康宣传活动和媒体报道的可能是上述概率下降原因。
Researcher Erica Weis, MPH, of California's health services department, suggests that public health campaigns and media coverage of outbreaks may be responsible for the decline.
而且这种概率是相当高的，因为如果你考虑过这个问题，这就说明你可能已经有了太多的数据，需要把精力从寻找数据转移到如何使用这些数据上来。
The odds are pretty high that if you're thinking about that question, you already have too much data, and need to shift your focus to acting on the data.
的确，在今后172年中，这种在太空中漫游的巨石的去向有各种可能，其撞击地球的概率为千分之一。
Of course, a lot can happen to an errant space rock in 172 years, hence the odds of one-in-a-thousand.
现在我们已经描述了概率，可能被占据的状态被占据的。
Now we've described the probabilities in terms of the states that can be occupied.
在这里，期望效用被定义为所有可能结果所带来效用的乘以其发生概率的加权平均值。
Expected utility is defined here as the average, weighted by the probabilities of occurrence, of the utilities attached to all possible consequences.
换个角度说，是我们导致这起极端天气事件发生概率提高了一倍之多，而且我们制造这起事件的可能性是自然因素引起的两倍。
Put another way, we more than doubled the chance that it would happen, and it’s twice as likely to be human-caused than natural.
一些地质学家认为他们当前使用的方法，即基于概率的地震威胁分析，可能会低估地震威胁的可能性。
Some geologists feel that the method they used, probabilistic seismic hazard analysis, may underestimate the possibility of earthquake hazards.
欧布斯的研究发现，那些和没有感到赞赏的丈夫的婚姻，很可能走向结束的概率是两倍。
Orbuch's research has shown that marriages with husbands who don't feel appreciated are twice as likely to end.
取代单个值，随机变量拥有描述估计值可能性的函数，该函数称为变量的概率分布。
Instead of this single value, a random variable has a function that describes the likelihood of values for the estimate and is called the variable's probability distribution.
这可能表现为当天的事件像人们想象那样，他们在直观上并没有承认客观的概率。
It has been shown that even today people seem to think that. They don't really take, at an intuitive level, probabilities as objective.
一种方法非常快，但成功的概率有限；另一种非常慢，但成功的可能性很高。
One was quite fast, but had a limited probability of succeeding. The other way of doing it was quite slow, but had a very good probability of working.
同样的，我们可以定义最可能距离，在这里找到电子的概率最大。
And again, we can define what that most probable radius is, that distance at which we're most likely to find an electron.
这些可能性值是从概率分布中抽取的，所以实际的人们下次能否再遇到的可能性是由电脑指定的，而不是真正由代理人决定的。
They were drawn from a probability distribution, so the actual future encounter rate was only indicated, not precisely determined by them.
并且，这些人使用号码相同手机的概率几乎为0；除非一种可能，那就是他们是别无二致的双胞胎。
However, the chance that those people will also have access to the same phone is negligible—unless, perhaps, they are identical twins.
并且，这些人使用号码相同手机的概率几乎为0；除非一种可能，那就是他们是别无二致的双胞胎。
However, the chance that those people will also have access to the same phone is negligible—unless, perhaps, they are identical twins.
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