Waymo has caused a single crash in 5 million miles of driving and no one was hurt.[2] They have been involved in slightly more incidents than would be predicted for a human driver (30 vs. 21) in those 5 million miles but it was not at fault for the others.
[1] http://fortune.com/2018/06/30/uber-lyft-poor-minority-commun...
[2] https://www.wired.com/story/waymo-crash-self-driving-google-...