  In this paper, we obtain the exact controllability for a refined stochastic
wave equation with three controls by establishing a novel Carleman estimate for
a backward hyperbolic-like operator. Compared with the known result, the
novelty of this paper is twofold: (1) Our model contains the effects in the
drift terms when we put controls directly in the diffusion terms, which is more
sensible for practical applications; (2) We provide an explicit description of
the waiting time which is sharp in the case of dimension one and is independent
of the coefficients of lower terms.
