One way of doing this problem is looking at it as a tree


                      Your Friend 
                     C    G    G
  1/3 for each       |    |    |
       *                 You
                 G   G   C  G   C  G
  1/2 for each   |   |   |  |   |  |
        =       1/6 1/6 1/6 1/6 1/6 1/6

Chances of you getting the car are 1/6+1/6=2/6 or 1/3 which is the same as if you pick first so it doesnt matter.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett