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Lets say you have 16 people. You want to make 8 groups. You choose the groups randomly. There are 2 people per group. What is the probability that 1 of the 8 groups is the same for a certain number of trials? For example, if person A is with person B this trial, what is the probability that person A will be with person B in the next trial (or many more trials after that)? I know the probability of all the groups being the same is [tex] \frac{1}{120} [/tex].

Thanks

PS: I posted this question on the Calculus forums, but thought it more suitable to be here

Thanks

PS: I posted this question on the Calculus forums, but thought it more suitable to be here

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