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十个馒头 · 2022年07月15日

P(B|A)为什么是0.4 不是0.4*0.7

NO.PZ2015120604000076

问题如下:

According to the above table, and we are informed that the performance of next day is good, what is the probability of today's performance is good?

选项:

A.

0.74.

B.

0.28.

C.

0.67.

解释:

C is correct.

We can use Bayes' formula to solve this problem.

A: today's performance is good.

B: next day's performance is good.

P(A|B)=P(B|A)*P(A)/P(B)=0.7×0.4/(0.4×0.7+0.2×0.3+0.4×0.2)

P(B|A)*P(A)=0.7×0.4=0.28

P(B)=0.4×0.7+0.2×0.3+0.4×0.2=0.42

P(A|B)=0.67

联合概率 不是两个相乘吗 用A条件的*B条件的

1 个答案
已采纳答案

星星_品职助教 · 2022年07月15日

同学你好,

P(B|A)是0.7,并不是0.4.

通过表格可以看出,0.7本身就是条件概率。即在today is good的这个条件下,next day is good的条件概率为0.7。

即0.7本身就是P(B|A),不用再和前面的0.4相乘了。

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