I have what is probably a one-time only opportunity: if I play $100, I receive $100 in free play.
The best game is 9/6 JoB and there are no other points or comps available. They offer the game for dimes, quarters, halves, dollars (and higher) in single line and in 5-play, 10-play and 50-play machines.
My goal is to maximize the return on this promotion without playing more than the $200 (i.e. $100 of my money and $100 of the casino's).
I think that I should play single line to decrease the dependence on dealt hands. But should I play single line dollars (40 hands), halves (80 hands), quarters (160 hands) or dimes (400 hands)?
What would you do, and why?