LetSnbe the sum ofnindependent discrete variates with common probability distributionpx(x= 0, 1, 2, ṁṁṁ). A table is presented which allowsPr(Sn=s) to be written down, for anynand fors≤15, as a finite series involving mixed powers of thepx's. If the range ofxis finite (x≤m) the table will also givePr(Sn= mn - s). The use of the table is illustrated and several applications are indicated.