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Maxy · 2024年04月07日

请问这样求为什么不对呢

NO.PZ2023091601000009

问题如下:

In country X, the probability that a letter sent through the postal system reaches its destination is 2/3. Assume that each postal delivery is independent of every other postal delivery, and assume that if a wife receives a letter from her husband, she will certainly mail a response to her husband. Suppose a man in country X mails a letter to his wife (also in country X) through the postal system. If the man does not receive a response letter from his wife, what is the probability that his wife received his letter?

选项:

A.

1/3

B.

3/5

C.

2/3

D.

2/5

解释:


(Notices: if the wife did not receive the letter, she would not sent response to the man.)

Note:

A: the wife received the letter; : the wife did not received the letter;

B: the man received a response letter from his wife; : the man did not receive a response letter from his wife

The question “If the man does not receive a response letter from his wife, what is the probability that his wife received his letter?” is equal to figure out P(A|).



这个不应该是妻子收到信的前提下,丈夫未收到信吗?也就是(2/3)*(1/3)=2/9?

4 个答案
已采纳答案

pzqa27 · 2024年04月09日

嗨,从没放弃的小努力你好:


这个题,何老师在经典题里有讲,请参考这个视频。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

pzqa27 · 2024年04月08日

嗨,爱思考的PZer你好:


解法在这,这个是视频,同学可以听一下

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努力的时光都是限量版,加油!

Maxy · 2024年04月09日

多谢!请问这个截图里面各个数字代表什么可以解释一下吗? 另外,“这个题解析的符号用的有些问题,不过答案没错,”指的是字母有问题,但数字没问题?

pzqa27 · 2024年04月08日

嗨,努力学习的PZer你好:


呃,这个题解析的符号用的有些问题,不过答案没错,具体解法请参考经典题里何老师的做法

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

Maxy · 2024年04月08日

谢谢!但我看您的截屏里没有解析,只有题目?

pzqa27 · 2024年04月07日

嗨,爱思考的PZer你好:


这个不应该是妻子收到信的前提下,丈夫未收到信吗?

是的

也就是(2/3)*(1/3)=2/9?

应该是1/3才对,因为妻子收到信后,是一定会给丈夫写信的,所以在妻子收到信的情况下,丈夫只有1/3的概率收不到信。

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加油吧,让我们一起遇见更好的自己!

Maxy · 2024年04月07日

谢谢!那P(B斜杠)为什么是2/3呢