Probability: Catch the train !

A man arrives to a train station between 9:55 and 10:05 every morning and the train leaves the station between 10:00 and 10:10. What is the probability that the man catches the train?

It is obviously not a straightforward probability question and the answer is not 1/2, otherwise it wouldn't have found a place on my blog. And no, it is not a Mumbai local train and the probability doesn't depend on the number of people pushing the man out of the train :)

Continue .. (spoiler alert!)

The solution to this problem is 7/8. Now, all you need to do is to find out the simplest way to achieve this result.

Will publish the solution soon!