So here we have "the scientific hand" - and admit it, you are all looking at your palms right now! I am not sure that a true scientist would have much to do with palm reading, they would probably think that such a thing was most un-scientific !
This is the larger version of the set, and it is much more pleasing to the eye, having space to place the little head further away. I always think the standard sized set is rather cramped. In fact if I was the designer I would have left the head off of that set and then added it to the larger - though then you would have needed two lots of artwork.
Since we never had a reference book to Major Drapkin, we must suffice with the scant description in our World Tobacco Issues Index, which is simply "Size a) small b) large Nd. (25)" Though a quick trip to the 1950 London Cigarette Card Catalogue adds that the standard sized set was issued in June 1926 and the large in April 1927, which seems a very long gap. There was very little difference in the retail price either - the standard sized set being 1/- a card and 30/- a set and the large sized set being 1/3 a card and 40/- a set.