Just a sidelight on this here. Actually amazingly improbable events happen all the time. Just that they seem ordinary to us, not bizarre. For instance if you shuffle and then deal a deck of cards, chance of that particular arrangement of cards is less than 1 in 10^67.
That's less than one in ten trillion trillion trillion trillion trillion.
Similarly all the time we are surrounded by amazingly improbable occurrences like that. But because they seem "ordinary" we don't realize how improbable they are.