A town has three bus routes A, B and C. Route A has twice as many buses as each of B and C. Over a perido of time it has been found that, along a certain stretch of road, where the three routes converge, the buses on these routes run more than five minutes late 1/2, 1/5 and 1/10 of the time respectively.
1) A bus is going down this stretch of road. What is the probability it is more than 5 minutes late?
2) Comment on the size of the answer to 1) with the respect to the given probabilities 1/2, 1/5 and 1/10.
3) An inspector, standing on this particular stretch of road, sees a bus that is more than five minutes late. Find the probability that it is a route B bus.