The TV show Numb3rs had as a premise that a GENIUS mathematician
could help solve crimes. Is this true? I rather doubt you need a GENIUS-
though of course some prob, state, data mining, the math behind forensics, and a few other things help. And it may help to know some number theory if a mathematician who is working on the Riemann hypothesis has his daughter kidnapped. But I don't think you need someone on the level of Charles Eppes.
The TV show Breaking Bad (see Honest Trailor for Breaking Bad and/or
Idiots Guide to Breaking Bad if you've seen the first 4.5 seaons at least)
has as a premise that a GENIUS chemist can make really good crystal meth. And as a by product it's blue. I know nothing about the crystal meth business; however a chemist friend of mine (who has never made the stuff) tells me that YES, being a careful chemist is good, and certainly better than a meth-head who is more likely to blow up his lab than to produce any, a GENIUS chemist would not be any better than a good chemist.
The TV show Elementary (Sherlock Holmes in modern day New York) and many other shows (Monk, Perception, Psyche, The Mentalist, Columbo, and others I am sure) has as a premise that a GENIUS observer could help solve crimes. This may be more true then the above, but there are other tools available today (e.g., DNA).
All of these shows, and others, make the FALLACY OF EXTRAPOLATION. Taking a good idea and extrapolating it to absurdity.
Here is a non-TV example: If blogging is part of my job, and I can deduct job expenses for Tax purposes, then I should be able to deduct the cost of the DVD's for Numb3rs that I bought because of this post.