Question

We say a group of four people is “interesting", if there are at most five pairs...

We say a group of four people is “interesting", if there are at most five pairs who are friends. Assume that each pair of people are friends, independent of every other pair, with probability 1/2. Let N be the number of pairs that are friends in this group.

  • Following the model above, if 128 different people each observe one randomly chosen groups of four people, how many times on average do these observations lead to the conclusion that the person's chosen group is interesting?

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