I'm a mature student undertaking a self-study A-Level course in order to go to university. I have been unable to figure this out by myself and have even had a private tutor stumped by it, so any help would be greatly appreciated.
It's from "Understanding Statistics" by Upton & Cook. Question 5g) 1) d). The correct answer is 613/648 according to the textbook.
In Ruritania all the cars are made by a single firm and vary only in their colouring. Six different colours are available. The same numbers of cars are painted in each of the six colours. Assuming that, when travelling on the roads, the colours of the cars occur in random order, determine the probability that:
"at least 8 cars pass before all 6 colours are encountered."