So I have been assigned a task of calculating the number of each color of beads in a jar that I am not allowed to open. The jar contains approximately 5000 beads as a rough estimate, and is filled to the top so shaking the jar will not shift any beads. There are about 20 different colors of beads inside the jar and the basic goal of the assignment is to be able to calculate with high accuracy the proportion of each color bead only by looking at the outside of the jar. Since the jar is square with rounded edges and is about twice as long as it is wide, my game plan is to break down each side of the jar into 2 halves, count all the beads on the outer layer recording colors, and calculate the proportions from each color of the 8 samples I will take (2 per side, 4 sides) and then average those proportions to remove some bias. Any other ideas on how you might sample the jar or comments on why my method may not work aside from the possibility of a clump of same colored beads in the center of the jar? (In case you were wondering this problem has been solved in the past in my class so there is a way to reliably sample and calculate the proportions)