This widely accepted law of statistics states that with a large enough sample size, even the extremely unlikely becomes likely, and therefore any outrageous thing is bound to happen. A telling example of this occurred a few years ago when a New Jersey woman won two lotteries within four months. The chances of a specific person winning two lotteries after buying two tickets is indeed trillions to one, but the odds of someone winning among the millions that play is only one in thirty. This is the essence of the law of truly large numbers. This perspective lifts the shroud of mystery and puts the focus where it belongs, on science Human memory is not like a tape recorder, faithfully recording everything experienced.
Dramatic experiences tend to be remembered more than others.
This leads to a phenomenon called subjective validation, more commonly known as selective memory. Therefore it is only natural to remember unusual experiences, even Alzheimer's victims with significantly impaired short-term memories can more easily recall recent events that were out of the ordinary. Returning to our friend who calls soon after you think about him, this event becomes much less striking if we consider how many times we have thought of friends who did not then call. This makes the correct predictions seem much more compelling than they really are. This is a conscious or deliberate form of subjective validation, or, put more simply, fraud.