  We find an instanton analogous to the Brill instanton that describes the
fragmentation of a single-centered black hole scaling throat of charge
$\Gamma_1 + \Gamma_2 + \Gamma_3$ in N=2 supergravity to three disconnected
throats of charges $\Gamma_1, \Gamma_2, \Gamma_3$, in the limit where the
intersection products between the charges of the three throats satisfies
$<\Gamma_1, \Gamma_2> \lll <\Gamma_2, \Gamma_3>, <\Gamma_3, \Gamma_1,>$. We
evaluate the Euclidean action for this instanton and find that the amplitude
for the tunneling process is proportional to the difference in entropy between
the initial and final configurations.
