Think of it this way -- your password managers password never gets passed to untrustworthy websites, so there is a very small chance it would ever get breached.

Think of it this way -- your password managers password never gets passed to untrustworthy websites, so there is a very small chance it would ever get breached. You now only have to trust one website/program, rather than every website (and we have evidence that many major websites can't be trusted with our passwords).