then i guess my question is, how do you use the word statistically correctly?
Its all the possible outcomes of the clutch over all. it does matter which egg was lesser, because each egg is different and has the 50/50 shot. there are more ways to get the 50/50 spilt than anything else. To say you have the same chance of getting 0 Lessers (1/1024) as 5 Lesser (252/1024) isn't correct, but the chance of getting 0 lessers as 10 Lessers is. With a big enough sample size according to the law of averages, the real world data will reflect that. If You have 11x 10 egg clutches, your most likely not going to see one with 0 lesser, one with 1, one with 2 lessers,...., one with 10 lessers.