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@thebestaquaman@lemmy.world

Post #3143967

2026-05-22 08:47 UTC

> The idea though was so the first player to go doesn’t have an advantage I... 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.

Replies (2)

  • @village604@adultswim.fan 2026-05-22 21:43

    It's definitely possible to fail further than 7 places behind, very quickly. It only takes two turns. But the problem is that the first roll gets to buy the first property of the game, in most instances. A lap randomizes that advantage.

    Open ##3143986

  • @Amir@lemmy.ml 2026-05-22 14:45

    Well, if you do infinite die rolls, your standard deviation becomes so high the "7" spaces bias will be relatively less significant However, replacing first-mover advantage by RNGesus advantage is not significantly better

    Open ##3144004