Bascule is reading a book.
What is the probability that the first digit of the page he is on is 1, 2, 3, 4 or 5?
a) obtain an expression
b) approximate a numerical value
This partial solution is based on some assumptions. First that all the books in the world have a number of pages distribution that is linear. In other words, there are the same number of books with 1 page as there are with 2 pages, or 3 pages etc. Second that with very few terms, we see a convergent series (this is assured, as the lower limit for the answer would be .5, and the series is decreasing - however, assumong that you can see the lower limit is dangerous). Third that a book may have an arbitrarily large number of pages (I can't imagine a book longer than 9999 pages - the limits of writers mortality would begin to factor). Anyways, now that I've stated the assumptions to my solution, I'll have to post it in my next link
numerical solution
