Top row: relative likelihood (ℒ) to observe a system as a ULX, as described by Eq. (20), for LMXBs/IMXBs with a 1.3 M_⊙ NS. The panels are arranged as in Fig. 7. Going from the leftmost to the rightmost panel (> 10 to > 1000 L_Edd), ℒ is higher for stable binaries with lower luminosities as their emission is not as strongly beamed. There is in addition some effect by the transition from case A to case B RLO. All values below 10⁻⁶ are shown in black as they correspond to insignificant likelihood. Bottom row: same as the top row but for LMXBs/IMXBs with a 2.0 M_⊙ NS.