Geometric probability · Athletics
Across the running track
Two friends stand at independent, uniformly random points on a circular running track of radius R. What is the probability that the straight-line distance between them is more than 1 × R?
Answer with a probability. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.
More in geometric probability
- Meeting at the station · Commuting
- Break the stick · Geometry
- Does it hold the center? · Geometry
- How far from the bullseye · Darts
- The needle on the floorboards · Geometry
- The smooth stretch outside your house · City roads