MathDB

On a one-way street, an unending sequence of cars of width

a

, length

b

passes with velocity

v

. The cars are separated by the distance

c

. A pedestrian crosses the street perpendicularly with velocity

w

, without paying attention to the cars.
(a) What is the probability that the pedestrian crosses the street uninjured?
(b) Can he improve this probability by crossing the road in a direction other than perpendicular?

Problem Statement