Lets say you walk in with 1000 dollars in your pocket.
If the payoff is 97 percent, you would expect the money in your pocket to be .97^n where n is the number of times you took the bet. Each bet reduces the money in your pocket by 3%
While the curve approaches zero, the real limit is the minimum bet of that particular game.
1. http://teacher.nsrl.rochester.edu/phy_labs/AppendixD/Appendi...
You should remember, the industry would not have been so lucrative or addictive if there were no wins at all!
The 97% payout is a payout over millions (billions) of 1$ bets made on the machine - called the game cycle. You have to remember that players win and lose too.
Theoretically, if I were to wager 1$ over a million spins, I should be left with 970K$. That is what happens too if we consider the payout of the machine over the full lifecycle of the slot game.
The problem is that a player's funds are always limited. So when they hit a losing streak, they would lose all money by the time a winning streak can come their way. The house however has theoretically infinite funds at their disposal.