Making the Most of FreePlay

[WABJ11]

I have been able to negotiate some generous upfront offers by Casino marketing in the Midwest. This involves up to $3000 in cash and free play along with free room, and free food. I’m playing a game (not BJ) with a low house advantage. So I should be losing approximately $60-100 an hour. But their rating systems messes up and shows me losing about $1000 an hour.

The question I have is at what point is it optimal to stop playing after putting in X? What is The optimal time to stop playing when down or up X? This also doesn’t account for variance either. But if my math is correct, as long as I don’t put in over 3k in -EV, then I should come out a winner (mathematically) every trip? Right?

[Gronbog]

Assuming that it's machine play and that you're not playing the machines with an advantage and that you need to play through the $3,000 once before you can cash out, the optimal time to stop is when you've played exactly $3,000 through the machine.