Histogram of the initial inclination for the binaries in the stellar disk for γ = 1.5. Approximately 3% of the systems are likely to merge while on the main sequence. All "mergers" on the main sequence occur in systems with high mutual inclinations and already during the first Kozai–Lidov cycle. The percentage of "mergers" is not affected by the choice of a density profile, but the number of systems that evaporate is higher when a steep density profile is considered, as expected. Vertical axes are normalized to the total number of simulated binaries.