I like this idea as a fun little exercise. Rarer than Wagner, within the context of it's set.
1932 US Caramel
PSA Graded: 2,163. Lindstrom POP: 1
SGC Graded: 843 baseball + 59 boxing + 37 Golf = 939, with 0 Lindstrom's
Total of 3,102, with 1 Lindstorm.
Final percent: .00032237%
Of course, this isn't actually right. I believe there are 2 Lindstorm's out there known, and big cards are graded much more than commons (Wagner is actually tougher than the figure in POP reports would suggest).
I would think, off the top, this has got to be up there if not the #1 as the set is not all that rare. Perhaps a unique Old Judge pose bests it.
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