There are two urns. One contains five white balls. The other contains four white balls and one black ball. An urn is selected at random and a ball in that urn is selected at random and removed. This procedure is repeated until one of the urns in empty. The probability that the black ball has not been selected is Binomial(10,5)/2^10. The form of the answer suggests a counting solution. What is being counted?
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closed as not a real question by Robin Chapman, Steve Huntsman, Harry Gindi, Wadim Zudilin, Greg Kuperberg Jun 26 '10 at 13:48It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question. 

