A road traffic light is switched on every day at 5:00 a.m. It always begins with 'red' and holds this colour 2 minutes. Then it changes to 'green' and holds this colour 4 minutes. This cycle continues...

A road traffic light is switched on every day at 5:00 a.m. It always begins with 'red' and holds this colour 2 minutes. Then it changes to 'green' and holds this colour 4 minutes. This cycle continues till midnight. A car driver arrives at this traffic light at a time point which is uniformly distributed between 9:00 and 9:10 a.m.

(1) What is the probability that the driver has to wait in front of the traffic light?

(2) Determine the same probability on condition that the driver's arrival time point has a uniform distribution over the interval [8:58, 9:08]?