newfag here. im trying to grasp why a particle in motion has

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newfag here. im trying to grasp why a particle in motion has probabilities other than 100% at a given point in time. if you measure all its positions over an interval can't you make a function of that and get a specific point attached to a specific time value? what makes the notion of fuzziness or sampling occur? i know that our models state this is the case, but why? what makes a measurement lead to this conclusion? if i measure a particles xy position with a tool, over time, i should be able to plot where it was in a deterministic fashion. it's like when a person is seated in a class; you can say they left or moved around, but at each point in time, there's a 100% chance they're at one xy position on the plane of the classroom flooring layout.

i just can't get an intuitive understanding of this idea. i'm trying to draw out a graphical representation of what i'm thinking about, where the height of those lines are the probability of its position. i then realized that the particle isn't actually a spherical shape as that's the probability cloud model. sorry for that.