We all know this one. The woman taking an apple from the tree of knowledge even though this mighty god told them not to take it.
What surprises me is that this god isn't able to keep that snake away from the garden, or at least make it shut up. After all, in this story it wasn't Eve who got the apple by herself, she was pestered into doing it by the snake. Probably god made a mistake by designing a snake that could talk. I guess that one's fixed though; I haven't heard of a talking snake ever since. (Except in the Harry Potter books.)
Now there will be people that claim that god did all this to test his own creations, to see if they would fall for the snake's words. That's either kind of stupid - as he made them after his own image - or it's something that says something about that god. If his creations, who are like him, fail then he would probably fail as well. Which in turn isn't something you'd expect from an infallible god, a 'fact' stated in a book that's written by fallible men who have never had a 1 to 1 with that god. It's even never documented that their god said that this book is 'his word'. It's all the work of fallible men. Scare tactics.