Pre-1933 no mark. There are no copyright markings pertaining to the image as can be seen in the links above. At lower left of uncropped copy is City Lithograf NY--they printed the poster. At lower right is Litho in USA.
Note that it may still be copyrighted in jurisdictions that do not apply the rule of the shorter term for US works (depending on the date of the author's death), such as Canada (50 p.m.a.), Mainland China (50 p.m.a., not Hong Kong or Macao), Germany (70 p.m.a.), Mexico (100 p.m.a.), Switzerland (70 p.m.a.), and other countries with individual treaties.
{{Information |Description=Poster for the 1933 film ''The Big Chance''. |Source=[http://www.ebay.com/itm/The-Big-Chance-One-Sheet-Movie-Poster-John-Darrow-Merna-Kennedy-Drama-1933-/201273704248?pt=LH_DefaultDomain_0&hash=item2edcd8ff38 eBay] [http://ww...