The discussion revolves around the probability of a spider meeting an ant within a square box, where the ant remains stationary at the center and the spider moves randomly. The scope includes conceptual definitions of probability in geometric contexts and the implications of movement models.
Participants express disagreement regarding the definitions and assumptions of the problem. There is no consensus on how to model the movement of the spider or the implications for probability.
The discussion highlights limitations in defining the problem, including assumptions about movement, the nature of the points involved, and the conditions under which the probability is evaluated.
moonman239 said:Let's say there is a spider and an ant in a square box. The ant stays in the center of the box. The spider walks a random distance, in a random direction. What are the chances that he will meet the ant?
honestrosewater said:The problem doesn't sound well-defined. How many possible directions are there for the spider to walk in? How many possible distances? (If you want to keep things simple, pick a finite number.) Where does the spider start? What is the shape of the path that the spider walks in? I can't agree with SW VandeCarr because, if the spider crawls in a straight line along the inside of the box, it's going to stay in one plane, and if the ant isn't in that plane, the spider can walk forever and never meet the ant.