In this research we work with the effective Hamiltonian and the quark model. We investigate the decay rates of matter-antimatter of b quark. We describe the effective Hamiltonian theory and apply this theory to the calculation of current current (Q1,2 ), QCD penguin (Q3,...,6 ), magnetic dipole (Q8) and electroweak penguin (Q'7,…10 ) decay rates. The gluonic penguin structure of hadronic b decays b®q g ®qkqiqj- q is studied through the Wilson coefficients of the effective Hamiltonian. We calculate the branching ratios of the tree-level, effective Hamiltonian, effective Hamiltonian including electroweak Penguin, effective Hamiltonian including Magnetic Dipole and the effective Hamiltonian including electroweak Penguin and Magnetic Dipole b quark decays b® qkqiqj-, qiÎ{u,c}, qkÎ{d,s}, qj‾Î{u-,c-} . We show that, the electroweak Penguin and Magnetic Dipole contributions in b quark decays are small and Current-Current operators are dominant.