3 beer drinkers (1,2,3) are to rank 4 different brands of beer( A,B,C,D). each drinker ranks the four beers as 1 for best and 4 for worst. after all the beers are ranked, the ranks of each brand of beer are summed.

what is the probability that some beer will have a total rank of 4 or less?

my working:

the sample points= (4!)^3

but im not sure how to count the individual rankings for the qns...

P( sum =3 ) = (1/4 )^3

P( sum =4) =

thanks!