Okay, I must say it: the gameplay loop is dumb. The girl produce more the more she has. So why should I milk her? Gambling is only 50% double or nothing what you put into it. So the most valid strategy is just to do nothing.
Even the gambling part is dumb: there is several rounds until one gets to 1. But you can't do anything, everything is based on luck. So having a single round of coin flip would pretty much be the same. The idea is good but it should be possible to influence one way or another in each round so it gets interesting.