|You are walking down the escalator to catch a subway train.
The escalator itself moves at a speed of Ve meters per minute.
You can walk down the escalator at a relative speed of Vy meters per minute.
The length of the escalator is L meters.
Trains arrive T minutes apart.
Let t be the time between your arrival to the station if you stand still on the escalator and the arrival of the last train before your arrival. Assume that t is a random variable uniformly distributed between 0 and T.
Return the probability of catching an earlier train if you choose to walk down the escalator instead of standing still on it.
|-||The returned value must have an absolute or relative error less than 1e-9.|
|-||Ve will be between 10 and 60, inclusive.|
|-||Vy will be between 1 and 10, inclusive.|
|-||L will be between 10 and 100, inclusive.|
|-||T will be between 2 and 20, inclusive.|