R, 43 bytes

function(v)rank(c(11,0,10,1:4*0,2:4)[v])[1]

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The function returns 2 for 'greater than', 1 for 'less than', 1.5 for 'equal'

Explanation :

      c(11,0,10,1:4*0,2:4)[v]        # extract the score of each card in v;
                                     # cards in v are used as indexes in the  
                                     # scores vector c(11,0,10,0,0,0,0,2,3,4)

rank(                        )[1]    # rank returns : c(1,  2)   if v[1] < v[2]
                                     #                c(2,  1)   if v[1] > v[2]
                                     #                c(1.5,1.5) if v[1] == v[2]
                                     # and we select the first value