As everything you've written is in good faith and aspiring to contribute, I too am willing to respond in this cooperative manner to you. Your changed metaphor

As everything you've written is in good faith and aspiring to contribute, I too am willing to respond in this cooperative manner to you. Your changed metaphor is fine. However, the origin of the method to produce 35% was already faulty, so the increased accuracy by repeating this experiment 352 times does not help, since it is repeating a faulty experiment. To make this intuitive, imagine having 1000 dice, each rolled only once. Now the highest roll will be 6 and the lowest roll will be 1, because you've rolled so many dice that you are sure to hit every number. Thus, the highest is 500% higher than the lowest. If we repeat this 352 times, the average over all participants will still be 500%. However, it is not an indication that we have biased dice.