Remember Simpler probability problem?!
An urn contains 3 black, 12 white, and 48 gray marbles. They are to be drawn one at a time until all of two of the colors has been exhausted.

(I) What is the probability that the color of the first draw is the same as:
(a) The first color exhausted?
(b) The second color exhausted?

(II) What is the probability that the color of the second draw is the same as:
(a) The first color exhausted?
(b) The second color exhausted?

*** Thanks go to Jer for inspiring this puzzle.