Point of View 1
This man is holding a piece of fruit in his hand.
The piece of fruit is either an orange or an apple.
We can’t see which it is because we can’t see inside the box.
The probability that it is an orange is equal to the probability that it is an apple.
It may be an apple, and it may be an orange.
It’s got to be one or the other.
It can’t be anything else.
译文:这人手里拿着一个水果,这水果不是桔子就是苹果。我们看不见是哪个,因为我们看不到盒子里。它是橘子的概率等于它是苹果的概率。它可能是一个苹果,也可能是一个橘子,两者必有其一,不可能是别的什么。
Exercise:
1.— What's the probability that it is an apple?
— There is a 50% probability.
2.— Why can't it be a banana?
— There are only two choices.
3. It maybe an apple, but it can't be a banana.
Now let’s look at it from the man’s point of view.
From his point of view, the probabilities are different.
From his point of view, the probability that he has an orange is 100% or 0%.
That’s because he knows what he has.
For him there is no uncertainty.
If he has an orange, the probability is 100%.
If he doesn’t have an orange, the probability is 0%.
He either has it or he doesn’t.
译文:现在我们从这人的角度来看,在他看来,概率是不同的。从他的角度来看,他拿到一个橘子的概率是100%或0%,那是因为他知道自己有什么。对他来说没有不确定性。如果他有一个橘子,概率是100%;如果没有橘子,概率是0。他要么有,要么没有。
Exercise:
1.— What is the probability that it is an orange?
— There is a 0% probability.
2.— From our point of view what's the probability that is a orange?
— 50%
From our point of view, the probability that he has an orange is 50%.
From his point of view, the probability that he has an orange is 100% or 0%.
So the probability depends on your point of view.
译文:从我们的角度来看,他拿到一个橘子的概率是50%。从他的角度来看,他得到一个橘子的概率是100%或0%。所以,概率取决于你的观点。
Exercise:
— What is the probability that it is a banana?
— a 0% probability
Repeat & Read Sentences:
1. The piece of fruit is either an orange or an apple.
2. It may be an apple, and it may be an orange.
3. It can't be anything else.
4. From our point of view, the probability that he has an orange is 50%.
5. The probability depends on your point of view, or how much you know.
Point of View 2
People see things from different points of view.
This often leads to arguments between people.
Here are some examples.
From this man’s point of view, he is relaxing.
He needs to relax because he has been working too hard.
He hasn’t been getting enough sleep.
译文:人们从不同的角度看问题,这经常导致人与人之间的争论。这里有一些例子。从这个男人的角度来看,他正在放松,他需要放松一下,因为他工作太辛苦了,他一直睡眠不足。
Exercise:
1. If his wife aks him to get up and help her, he probably won't be happy.
2. If his wife shouts at him and tells him to get up and do something, he may shout back and refuse to help her.
His wife sees things differently.
She isn’t aware of how hard he has been working.
From her point of view, he is doing nothing.
However, she knows what needs to be done around the house.
It isn’t fair that she has to work while he does nothing.
译文:他妻子的看法不同。她没有意识到他一直在努力工作,在她看来,他什么也没做。然而,她知道家里需要做些什么。她必须工作,而他什么也不做,这是不公平的。
Exercise:
1. If he refuse to get up and help her, she will be angry at him.
2.— What often leads to arguments between people?
— They don't see things in the same way.
3. She isn’t aware of how hard he has been working.
When people see things from different points of view, they often come to different conclusions.
These differences can cause real communication problems.
译文:当人们从不同的角度看问题时,他们往往会得出不同的结论。这些差异会导致实在的沟通问题。
Repeat & Read Sentences:
1. She isn’t aware of how hard he has been working.
2. From this man’s point of view, he is relaxing.
3. He hasn’t been getting enough sleep.
4. However, she knows what needs to be done around the house.
5. People often argue with each other because they see things from a different point of view.