18k views

Probability question about married couples

If four married couples are arranged in a row, what is the probability that no husband sits next to his wife? Would it be $1- \frac{2(4!)}{8!}$?
10k views

No husband can sit next to his wife in this probability question

I have a probability question that reads: Question: If 4 married couples are arranged in a row, find the probability that no husband sits next to his wife. My attempt: ...
7k views

Classic $2n$ people around a table problem

A total of $2n$ people, consisting of $n$ married couples, are randomly seated (all possible orderings being equally likely) at a round table. Let $C_i$ denote the event that the members of couple $i$ ...
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Arranging Couples in a Row

Three couples are sitting in a row. Compute the number of arrangements in which no person is sitting next to his or her partner. Answer is 240. From wikipedia, This problem is called the menage ...
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Probability of Couples sitting next to each other (Sitting in a Row)

Suppose we have 4 couples and 8 seats. The seats are oriented such that it is a row. The people take their seats in a random fashion. What is the probability that 2 couples sit next to each other? ...
I am trying to prove the theoretical "37-percent rule" for dating. The setup, if I remember correctly, is this. Suppose that you will meet exactly $N$ potential mates in your life, and you will meet ...