How many minutes does it take you to determine if a game is good and that you'll stick with it?

Jessica Evans recently posted a question about managing your game catalogs on here, and I have a follow-up question from a game developer's perspective. With so many game titles available, it seems really important to get a player excited in the first 10 or 15 minutes of gameplay to hook them in. I thought it would be more interesting to build excitement as gameplay continues, but if players fail to even play my game because there are so many alternatives, I need to place the magnum opus up front. If you have 10 unplayed game titles in your game catalog, and you want to quickly determine what you'd like to keep playing, about how many minutes does it take you from the start of the game to make your decision?