  The greybody factor of the massive Dirac field around the black hole in the
dRGT massive gravity theory is investigated using the rigorous bound and the
WKB approximation methods. In both methods, the greybody factor significantly
depends on the shape of the potential. If the potential is smaller, there is
more probability for the Dirac field to transmit through the black hole,
therefore, the greybody factor is higher. Moreover, there exists a critical
mass of the Dirac field such that the greybody factor is maximum. By comparing
the results from these two methods, we argue that it is useful to use the
rigorous bound method for the low potential cases, while using the WKB
approximation method for the high potential cases.
