Interview Query

Estimated Rounds

18
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Let’s say that there are six people trying to divide up into two equally separate teams. Because they want to pick random teams, on each round, each person shows their hand in either a face-up or face-down position. If there are three of each position, then they’ll split into teams. 

What’s the expected number of rounds that everyone will have to pick a hand side before they split into teams?

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