Nonleptonic and semileptonic CP asymmetries in neutral Bd and Bs decays are studied in a recently proposed model with purely right-handed b-decay coupling. The predicted semileptonic CP asymmetries do not exceed 1%, which is consistent with the standard model prediction. But the maximum time-integrated CP asymmetries for the nonleptonic B → Ψk5, D+D-, and π+π- decays are all found to be at most 5%, a result which can clearly distinguish this model from the standard model.