>>11384751Lmao. Not how any of that works.
If you drop a single bean into the Galton box, it falls randomly yes, but it falls randomly according to a binomial distribution (limits to normal). If you were to keep dropping one bean at a time, you would still expect to get the same distribution. (This assumes there isn't interference between the beans when you drop them. In practice there almost certainly is interference, but it's probably symmetrical enough as to be relatively insignificance)
Double split experiment is different. If you imagine sending waves of light thru the double splits, you would expect an interference pattern in the light. However, if you were to send a single particle of light, you would expect it to go thru either one slit or the other. In this case you would not expect any interference patterns. However, if you keeping sending particles one at a time, you still get an interference pattern.