Four girls (say I, II, III and IV) are to rank 3 different types of cake (say A, B and C) in a blindfold test. Each girl ranks the three cakes as 1 (for the cake she likes the best), 2 and 3, and then the assigned ranks of each type of cake are summed. Assume that each girl is assigning her rankings at random, what is the probability that the cake A will receive a total score of 4.