I\'m going through Google\'s documentation on \"Add Google Play Services to Your Project\" in Android Studio: https://developer.android.com/google/play-services/setup.html>
I am not sure why a down vote is given to previously mentioned solutions(Scott Barta & JBaruch). If we go through solution and comments mentioned above, it works completely.
However, when I faced this problem I used android developer UI to import dependencies as follows:-
1 Go to View ---> Open Module Settings