Classical games: Magnus Carlsen beat Alexander Morozevich 3 to 0, with 7 draws. Including rapid/exhibition games: Magnus Carlsen beat Alexander Morozevich 8 to 7, with 13 draws. Only rapid/exhibition games: Alexander Morozevich beat Magnus Carlsen 7 to 5, with 6 draws.
*The figures above are based only on games present in our database which may be incomplete.