I have a bag with colored balls inside it. For every 1 red ball in the bag there are 2 blue balls and 3 green balls. (1: 2: 3 ratio)
I draw 10 balls from the bag and find 2 red balls, 3 blue balls and 5 green balls, from this I calculate a 1: 1.5: 2.5 ratio. How do I describe the error on my calculated ratio? I understand it should go as $(\mbox{number of draws})^{-\frac{1}{2}}$ , but I'm not sure if there are any other terms here.