function probas = probabilites_EM(proportions, moyennes, variances, poids)

    x = 1:255;
    nb_classes = length(poids);
    nb_points = length(x);
    probas = zeros(nb_points, nb_classes);
    sigma = sqrt(variances);
	
    for k=1:nb_classes
        probas(:,k) = ( proportions(k) * poids(k) / sigma(k) / sqrt(2*pi) ) .* exp( - (x - moyennes(k)).^2 ./ (2*variances(k)) );
    end

    probas = probas ./ sum(probas, 2);
end