  We propose two simple models for the quark mass matrices which may be
implemented through an S3 x Z2 symmetry in a supersymmetric context. Each model
has eight parameters and, therefore, makes two independent predictions for the
quark mixing matrix. The first model predicts |Vub / Vcb| approx sqrt{m_u /
m_c} sim 0.06 and |Vtd / Vts| approx sqrt{m_d / m_s} sim 0.23. The second
model, in which the forms of the up-type-quark and down-type-quark mass
matrices are interchanged relative to the first one, predicts |Vub / Vcb| sim
0.11 and |Vtd / Vts| sim 0.33. Both models have sin(2 beta) sim 0.5.
