  The detection of elementary carriers in transport phenomena is one of the
most important keys to understand non-trivial properties of strongly-correlated
quantum matter. Here we propose a method to identify the tunneling current
carrier in strongly interacting fermions from nonequilibrium noise in the
Bardeen-Cooper-Schrieffer to Bose--Einstein condensate crossover. The
noise-to-current ratio, the Fano factor, can be a crucial probe for the current
carrier. Bringing strongly-correlated fermions into contact with a dilute
reservoir produces a tunneling current in between. The associated Fano factor
increases from one to two as the interaction becomes stronger, reflecting the
fact that the dominant conduction channel changes from the quasiparticle
tunneling to the pair tunneling.
