Suppose N numbered cars start a race with starting positions N < ... < 4 < 3 < 2 < 1, car number 1 starting in front. (the car's index is the position on the starting grid) The race covers a total of L laps.
If two successive cars are in the position i < j, the probability that i overtakes j within 1 lap is P(i,j). This probability is independent of the position on the track and is constant throughout the race. For instance, if the starting positions...
