A winning set of numbers entitles a winner to a prize in only one of the above prize categories. OLG limits the total amount payable for prizes per draw in each of. Watch the latest KENO Drawings from the Ohio Lottery. Search for winning numbers by drawing number or drawing date. Washington (WA) Keno Past 30 Day Winning Numbers. From: SUN 06/04/17 ~ Thru: TUE 07/04/ MON 07/03/17.