You have a jar that is filled with a hundred marbles, each of them either black or white, but you have no idea how many of each color there are. However, you have been told that all possible quantities of white marbles (from 0 to 100, both inclusive) are equally probable.

You randomly select 100 marbles from the jar one at a time, with replacement, and they are all white. What is the probability that the jar contains only white marbles?

(In reply to re: A solution by Charlie)

Thank you, Charlie.

It is much clearer now.  I now understand the significance of the a priori probability in contrast to the other probability involved, and that both probabilities are applied in providing the resolution to the problem posted by tomarken. 

Posted by Dej Mar on 2006-05-20 03:49:26