It is important to remember that random coincidences are truly random and correlated

Random coincidences are set of coincidences which have been selected randomly and thus they don't posses any particular relationship at all. This means that they do not have any dependencies whatsoever and thus, the relationship of random event A to random event say B or C or D is purely none. Therefore, whenever A occurs B will not be affected and whenever B or C or D occurs, A will not be affected at all. Therefore random coincidences are truly random and NOT correlated.