In fact, let me make Indistinguishable’s Conjecture right now: Every irrational algebraic number is non-normal.
Grounds: Well, c’mon… If there were a counterexample, we’d have demonstrated it by now, right? 
Gosh, I had no idea Mad magazine’s Don Martin dabbled in set theory. I guess the cartooning was just his day job?
BING CHIKA-CHUNK THWIZZIK ZAK TIKA TIKA TIKA TIKA … SKAPLUNCH