Thinking in maths, (what i think about in maths) Options

[OSIRIS]

So here i am in maths (lovely as always ) and im just thinking about this situation:

Bill and Jim each own some nice cars, which put up agaisnt each other are evenly matched. Bill has just put in a Nitrous Oxide kit (which gives him an advantage). Hes added a fake guage that reads empty near the cylinder of the NO (but the cylinder is full). So here they both are at their local dragstrip/street/highway/racetrack and it goes like this:

Bill: hey man $xxx says my car is faster
Jim: oh yea. hey is that a NOs kit i see?
Bill: yea have a look
<jim has a look and sees the guage as empty>
Jim: the guage says its empty
Bill: it sure does
Jim: OK, in that case sure.

They race and Bill kicks Jim's arse.

The thing im wondering is; Does Bill deserve the win (and money)? he didnt actually say the kit was empty. Whjat you guys think?

This is sorta a half-thought thing as im in maths bored as hell.
Oh yea, and in no way do these characters represent anyone real.