  The exterior degree of a pair of finite groups $(G,N)$, which is a
generalization of the exterior degree of finite groups, is the probability for
two elements $(g,n)$ in $(G,N)$ such that $g\wedge n=1$. In the present paper,
we state some relations between this concept and the relative commutatively
degree, capability and the Schur multiplier of a pair of groups.
