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Exercises 1-3 12
题目

rivets are randomly taken and used on parts. Among them, rivets are too weak. Use rivets for each part. If all rivets with too weak strength are installed on one part, then this part The strength is too weak. What is the probability that a component is too weak?

解析

Solution: Solve according to the properties of classical concepts , permutations , combinations and probability .

  Number the parts from to In test , rivets are installed on each part . Let represent the event " the strength of the i th part is too weak " . If rivets with too weak strength are installed on the i-th component at the same time b occur. Choose any rivets from and install them on the i th component. There are ways to choose them. However, there are only rivets that are too weak. They are all installed on the -th component. There are only ways to choose them, so

.

  Since is mutually exclusive , according to the property of probability 2, the probability that one of the components is too weak is

.

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