  In this paper, we consider a null controllability and an inverse source
problem for stochastic Grushin equation with boundary degeneracy and
singularity. We construct two special weight functions to establish two
Carleman estimates for the whole stochastic Grushin operator with singular
potential by a weighted identity method. One is for the backward stochastic
Grushin equation with singular weight function. We then apply it to prove the
null controllability for stochastic Grushin equation for any $T$ and any
degeneracy $\gamma>0$, when our control domain touches the degeneracy line
$\{x=0\}$. In order to study the inverse source problem of determining two
kinds of sources simultaneously, we prove the other Carleman estimate, which is
for the forward stochastic Grushin equation with regular weight function. Based
on this Carleman estimate, we obtain the uniqueness of the inverse source
problem.
