What fraction of players in Major League Baseball are cheating? (*)
(a) Less than 10%
(b) Between 10-50%
(c) Between 50-90%
(e) More than 90%
(*) By “cheating” we mean the use of banned substances or performance-enhancing drugs.
Postscript: This column by Tom Jones, a sports columnist for the Tampa Bay Times, really nails it.
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prior probability 
I guess c between 50 and 90 percent. I would guess d but I want to have a little faith in these MLB players.
I think you are right … although the fraction of players caught cheating is low (less than 10%), the fraction of players cheating is probably over 50% … how much over, though, is tough to say