It seems like the tendency for the beads to cluster around the middle is mostly because they were dropped right above the middle. If you move the funnel to either side, then the distribution will be correspondingly skewed.
For anyone who is not familiar with a Galton board: [https://en.wikipedia.org/wiki/Galton_board](https://en.wikipedia.org/wiki/Galton_board)
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In: 5
The important thing about a Galton board is the shape of the distribution, not where its peak is.
There are lots of ways something could be clustered near the funnel. Things could be clustered in a linear way. Or they could disperse around the funnel in a negative quadratic way.
But they don’t. Even though you can’t make any reasonable prediction about any individual bead, you can reliably predict that the overall shape will look very close to a theoretical binomial distribution. And you can do it just by reasoning about the situation!
Neat!
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