Editing Independence (probability theory) (section)

===Triple-independence but no pairwise-independence===
It is possible to create a three-event example in which

:<math>\mathrm{P}(A \cap B \cap C) = \mathrm{P}(A)\mathrm{P}(B)\mathrm{P}(C),</math>

and yet no two of the three events are pairwise independent (and hence the set of events are not mutually independent).<ref>George, Glyn, "Testing for the independence of three events," ''Mathematical Gazette'' 88, November 2004, 568. [http://www.engr.mun.ca/~ggeorge/MathGaz04.pdf PDF]</ref> This example shows that mutual independence involves requirements on the products of probabilities of all combinations of events, not just the single events as in this example.