Predicted mass-ratio and period distributions of the H-poor WN stars. Upper left: predicted mass-ratio distribution of the H-poor WN stars in our synthetic population with optical depths τ ≥ 0.5 (brown dashed histogram) and τ ≥ 1.5 (black dashed histogram), where we distinguish WR stars during core hydrogen and core helium burning. Overlayed is the histogram of the observed mass ratios in LMC WN stars with hydrogen (orange). Upper right: same as in the upper left panel, but for the orbital periods. Lower left: 2D histogram of mass ratios and orbital periods of our synthetic population with optical depths τ ≥ 0.5, represented by colored squares, where the color indicates the expected number of objects (see color bar to the right). Individual observed binaries are shown as orange dots. Lower right: same as the lower left panel but now for optical depths τ ≥ 1.5. The observational data is take from Shenar et al. (2019).