Despite these facts, the availability heuristic (https://en.wikipedia.org/wiki/Availability_heuristic) ensures that our perception of probabilities is proportional to how dramatic (and thus memorable) an event is and not to how likely it is.
"The people can always be brought to the bidding of the leaders. That is easy. All you have to do is tell them they are being attacked and denounce the pacifists for lack of patriotism and exposing the country to danger. It works the same way in any country." Hermann Goering