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I believed in the EM drive in the same way I occasionally buy lottery tickets: there's no way I could win, but wouldn't it be _so cool_ if I did?

There's an xkcd for that! http://xkcd.com/955/

Well, the probability is non-zero. And people win.

Sure, it is extremely small. But even that is different from zero.

Reward is finite. Risk is infinitesimal. No-brainer.