In general, the perception of coincidence, for lack of more sophisticated explanations, can serve as a link to folk psychology and philosophy.
[7] Swiss psychiatrist Carl Jung developed a theory that states that remarkable coincidences occur because of what he called "synchronicity," which he defined as an "acausal connecting principle.
"[8] The Jung-Pauli theory of "synchronicity", conceived by a physicist and a psychologist, both eminent in their fields, represents perhaps the most radical departure from the world-view of mechanistic science in our time.
The mathematically naive person seems to have a more acute awareness than the specialist of the basic paradox of probability theory, over which philosophers have puzzled ever since Pascal initiated that branch of science [in 1654] ....
The paradox consists, loosely speaking, of the fact that probability theory is able to predict with uncanny precision the overall outcome of processes made up of numerous individual happenings, each of which in itself is unpredictable.
In other words, we observe many uncertainties producing certainty, and many chance events creating a lawful total outcome.To establish cause and effect (i.e., causality) is notoriously difficult, as is expressed by the commonly heard statement that "correlation does not imply causation."
Thus we do not study the mechanism of rain; only whether it will rain.It is no great wonder if in the long process of time, while fortune takes her course hither and thither, numerous coincidences should spontaneously occur.