Distribution of flare occurrence percentages with rotation or orbital period in Samples 1 and 2. In each panel, blue dots represent the rotation or orbital periods and flare occurrence percentage for each star. We overlaid violin plots with box-and-whiskers plots on each scatter plot to reflect the trend of the scatter plot. For Sample 1, there no obvious correlation observed while for Sample 2 both all stars and binary stars show a trend where the flare occurrence percentage decreases with increasing rotation or orbital period.