Each of n = 2 people puts his or her name on a slip of paper (no two have the same name). The slips of paper are shu?ed in a hat, and then each person draws one (uniformly at random at each stage,...

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Each of n = 2 people puts his or her name on a slip of paper (no two have the same name). The slips of paper are shu?ed in a hat, and then each person draws one (uniformly at random at each stage, without replacement). Find the average number of people who draw their own names.

Answered Same DayDec 26, 2021

Answer To: Each of n = 2 people puts his or her name on a slip of paper (no two have the same name). The slips...

David answered on Dec 26 2021

126 Votes

Given: In the problem n=2. There are 2 persons
Let X be the number of people who draw their own names.
This problem is the case of without replacement
P(X=x) is the probability of x people who draw their own names
So
?(? = 1) =
1
2

?(? = 2) =
1
2
. 1 =
1
2

The average...

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Each of n = 2 people puts his or her name on a slip of paper (no two have the same name). The slips of paper are shu?ed in a hat, and then each person draws one (uniformly at random at each stage,...

Answer To: Each of n = 2 people puts his or her name on a slip of paper (no two have the same name). The slips...

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