Virtual Sampling Using Different Shovels

Now, instead of just one shovel, say we have three choices of shovels to extract a sample of balls with shovels of size 25, 50, and 100.

If our goal is still to estimate the proportion of the bowl’s balls that are red, which shovel will we choose? In our experience, most people will choose the largest shovel with 100 slots because it’ll yield the best guess of the proportion of the bowl’s balls that are red. Let’s define some criteria for ...