I prefer self experimentation.
Though, growing up on the SNES and Sega Genesis and Growing up further on the N64, we weren't given the tutorials you see today; we had manual's, though I kinda didn't care as a kind and even now as an adult, I still don't care.
I can understand if a game has added element's that make it different from the norm to have a tutorial, which is the only time I would consider a tutorial to be necessary, then I let it go and teach me how to play; A prime example being RTS games like Star Craft or simulation game's such as tabletop simulator or a hack and slash survival game.
Though if you have a 3D plat former, like Super Mario, Megaman Legend's, Sonic Adventure, the need for tutorial's to them are incredibly pointless; as with Mario, it's get to the end of the level or get a star. With Sonic, it's get to the end as fast as possible and look bad@$$ while doing it. Megaman Legend's is a bit more complex, but it's fun to explore and experiment with the environment given to you and learn the more complicated mechanic's later on by yourself or at least from an NPC or Audio Cue.
As you keep playing the games and get older, watching the tutorial's in these game's, it gets frustrating. Especially if you played it's predecessor and have a good grasp on how the previous control's work... It gets more annoying when you can't progress in the game until the tutorial is complete; It won't let you advance or experiment or do ANYTHING until you finish the tutorial. It's infuriating to level's of pure rage...
To finish this, because I go into spiels over game design; if you need to insert tutorials to teach the most basic control's of your game, then it's to ignore a lost art of game design. Granted, more complex one's, I could use a tutorial, but for simpler one's or moderate complexity, it shouldn't be needed.... If you folks want, I don't care for EgoRaptor, but he did a video back in 2011 about Megaman vs. Megaman X and how a game teaches you how to play the game without tutorials, allowing the player to expirement and come to the game on their own terms. If you don't mind the crass language, cursing and what not, then I recommend it.
https://www.youtube.com/watch?v=8FpigqfcvlM