Comment on The house always wins

• psx_crab@lemmy.zip ⁨1⁩ ⁨week⁩ ago

  Technically you do that as well, but the no-purchase first round make sure it is as random as possible because you roll multiples time and the dice change hand. Kinda like a warm up round as you’re now racing to get to the end of first round and get to draw chance and chest.

  You can also don’t do that, it’s up to you.

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  • thebestaquaman@lemmy.world ⁨1⁩ ⁨week⁩ ago

    I commented this elsewhere, but feel obliged to copy it in here as well:

    The player that goes first has the EXACT SAME statistical advantage, regardless how many round trips you do before allowing purchases. No matter how many times you roll the dice, each player will, on average, be ≈7 places in front of the person that rolls after them (not exactly 7, because there are rules for rolling again on matching dice etc.). This is true for the first roll of the dice, and it is true for the millionth roll. The distance between two consecutive players is on average equal to the mean number of places you move on a turn.

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    • psx_crab@lemmy.zip ⁨1⁩ ⁨week⁩ ago

      Statistically yeah, who rolled first get the advantage, when you played like 100 round of it, then add up all the data and get the average, the first one to roll will on average ahead of everyone, but…we’re playing one game, the first one to roll will sometime roll low and the last to roll might roll double and get ahead, this is why i don’t think statistic really matter here because the amount of roll one game have is statistically insignificant to get the desired result. “The house always win” did not mean the house win every round, it just mean if the game goes for 100 round the house will come out on top statistically, and that applies here.

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      • thebestaquaman@lemmy.world ⁨1⁩ ⁨week⁩ 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.

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