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A Monte Carlo study of the backscattering coefficients and backscattering intensity of β rays from 204 Tl and 90 Y sources from slabs of Al, Cu, Sn, Tb, and Pb of different thicknesses is carried out. The results for angles of incidence 0°, 30°, 45°, and 60° and absorber thicknesses of 3, 5, 10, 15, 30, and 50 mg/cm2 for 204 Tl β rays and thicknesses of 3, 5, 10, 20, 50, 100, 150, and 190 mg/cm2 for 90 Y β rays are given in tabular form. On using normalization factors good agreement with the measurements of Sharma and Singh is obtained. A phenomenological attempt to investigate a relationship between the backscatter intensity and atomic number Z of the backscatterer indicates that the backscattered intensity is a linear function of ln Z(Z+1). A partial theoretical justification for this relationship is given.