• thebestaquaman@lemmy.world
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    24 hours ago

    I think you’re misunderstanding something here?

    Let’s say you and a friend are playing: You can roll a dice or flip a coin to decide who goes first, and both of you have a 50/50 chance of going first, then you start playing. After the first throw, the player that starts will on average be ≈ 7 squares ahead of the second player, and can buy a property before the second player. Let’s call this a “7 square advantage”.

    Alternatively, you play one or more “warm up” rounds. When you get around the first round, the player that started will on average still have a 7 square advantage, and can still buy the same property before the second player. In fact, you can do as many “warmup rounds” as you like, and the player that started will retain their 7 square advantage whenever the first “real round” starts.

    The point is, this doesn’t become “more random” by playing “warmup rounds” the probability that any of the two players reaches a given square first is determined the instant the coin flip that decided who would go first landed.