扔 is the everyday word for both 'throw' and 'throw away.' 扔垃圾 = throw away trash. 扔球 = throw a ball. Very versatile.
culture
With China's garbage sorting policy (垃圾分类 lājī fēnlèi), you can't just 乱扔 (throw randomly) anymore — you need to sort into recyclable, kitchen waste, harmful waste, and other waste.