[SOLVED] Choice and chance

Please could someone recommend me a book which might help me understand the following problem :

"A swimming pool is emptied and then filled with several hundred thousand small plastic balls. There are black balls and there are white balls. The fraction of the balls that are black is x. I then throw in a small bucket and extract twelve balls. What is the chance that at least one ball in the bucket is a black one ?"

I might have to ask myself other similar questions.

I have a few algebra texts which deal with similar but seemingly less complicated questions of the same general type, but I'm not really sure what sort of book I'm looking for.

David Morley