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.

[jgreening]

I would side with Bill right up until Jim's last statement. If Jim had merely said "Sure" instead of "ok, in that case sure", Jim would have got what was coming to him (he assumed the risk). However, since Jim said "in that case", he put Bill on ACTUAL notice that he assumed that NOS would not be used. At that point, Bill owed Jim an explanation prior to letting Jim agree to the terms of the bet. Without the statement "in that case", Bill had no specific knowledge of Jim's assumptions and would have had no affirmative obligation to correct Jim's ASSUMPTION.