  CP asymmetries for two-body-nonleptonic $B^{0} - \bar{B}^{0}$ decay into
non-CP-eigen states are calculated using two different methods: (i) Bauer,
Stech, and Wirbel factorization method to compute the decay amplitudes
directly; (ii) using $B^{0}, \bar{B}^{0}$ decay amplitude ratios to avoid the
direct computation of the decay amplitudes. The comparison of the results are
made. The conclusion is presented.
