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.
