MathDB
2019 BMT Team 6

Source:

January 7, 2022
probabilitycombinatorics

Problem Statement

At a party, 20192019 people decide to form teams of three. To do so, each turn, every person not on a team points to one other person at random. If three people point to each other (that is, AA points to BB, BB points to CC, and CC points to AA), then they form a team. What is the probability that after 65,53665, 536 turns, exactly one person is not on a team
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