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Exercises 1-3 13
题目

During the reexamination of a graduate student in a certain major, there are test tickets and candidates take the test. One person draws one and immediately puts it back. Then another person draws, and the people draw once each. What is the probability that at least one test ticket has not been drawn after the drawing is completed?

解析

Solution: Based on classical concepts , the principle of addition and the principle of multiplication .

  Method 1 Records the event 

the -th test ticket was not drawn to ,

At least one test ticket was not drawn as ,

Then 

,

But is not an incompatible event , so the addition formula using the properties of probability is:

  From the problem, we know that 

,

,

,

So 

.

  Method 2 Considers the opposite event of Because all three cards draw , and it is easy to know that

.

Therefore, using the properties of probability 3

.

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