I have a probably dumb question about search privacy, but what are the chances of Google actually screwing up/getting hacked, and spilling our search histories into the public (like AOL from a few years ago)?

DDG's search results are fine, but I like Google just a little bit more. Assuming I don't care about the government or Google's advertising algorithms, and I just don't want my private thoughts/questions spilling out into the public, does the risk make it worth using DDG?