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Quantitative x-ray analysis of spherical inclusions embedded in a matrix is not possible using the classical ZAF and ϕ (ρ) Z methods based on specimens of homogeneous composition. Gauvin et al.(1992) have demonstrated that Monte Carlo simulations can be used to perform quantitative analysis of spherical inclusions of homogeneous composition. In this paper, this method is extended to obtain an analytical expression to perform such quantification. Also, Monte Carlo simulations are used to simulate x-ray and electron backscattering images of spherical inclusions in order to improve our understanding of contrast mechanism.