Barry O'Speedwagon
Coach
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Wait, don't you need to add the chances of getting your money back (50% of the time in this case) to your chances of him being first tryscorer?
Also I suppose Semi's chances are relatively higher than the hookers, as you say.
edit: a simple calc in this case would mean that you've doubled your odds (given the 50%)? And if we assume the 1/18 is correct, it becomes an even money proposition (at the $9)?
Sorry, missed that part of your original post. Yes, so your true odds on the main part of the bet stay the same. You can't just add the 50% chance to those odds, because the payoff is not the same.
You are betting $1 on an event that has a 1/18 chance of paying $9 back, and 50% chance of paying $1 back.
So your expected return on your dollar = 1/18 x $9 + 50% of $1 = $1.000, so exactly a fair bet given those assumptions (all of which may be crap).