Question

You’re dropped off at a bus station at the centre of Toronto in an alternate reality. The city, in this world, is divided into 2000 by 2000 square blocks divided by north-south and east-west roads. You start wandering the streets at random. Assume that once you start walking from one intersection you must progress in a straight line to the next intersection. Assuming you can’t leave the road network and you walk 1 block a minute, how far from the bus station would you expect to be after

1. a) 10 minutes?

2. b) 1 hour?

3. c) What is the likelihood that you end up farther north than you started?

4. d) On average, how long would it take you to leave the city boundaries?

Answer 1