  This paper provides constructive procedures for the indeterminacy coupling
between two marginal distributions, an alternative to independence coupling. It
also introduces a drawing under indeterminacy into a mixture of three
independent couplings. Leveraging on this decomposition it states that
indeterminacy optimally reduces couple matchings, minimizing the expected
number of equal couples drawn in a row. Besides it is seen that the Janson
Vegelius coefficient is nothing but a deviation to indeterminacy and it is
shown that it tends to 0 when the number of modalities increases.
