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Two-qubit X-matrices have been the subject of considerable recent attention,as they lend themselves more readily to analytical investigations thantwo-qubit density matrices of arbitrary nature. Here, we maximally exploit thisrelative ease of analysis to formally derive an exhaustive collection ofresults pertaining to the separability probabilities of generalized two-qubitX-matrices endowed with Hilbert-Schmidt and, more broadly, induced measures.Further, the analytical results obtained exhibit interesting parallels tocorresponding earlier (but, contrastingly, not yet fully rigorous) results forgeneral 2-qubit states--deduced on the basis of determinantal moment formulas.Geometric interpretations can be given to arbitrary positive values of therandom-matrix Dyson-index-like parameter $\alpha$ employed.

Separability Probability Formulas and Their Proofs for Generalized Two-Qubit X-Matrices Endowed with Hilbert-Schmidt and Induced Measures