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Random sample warmup

Imagine we have a cup filled with some unknown ratio of white and black balls.
We select balls one at a time with replacement and count how many white vs. black to estimate this ratio.
After 100 selections we end up with an estimated whiteblack\dfrac{white}{black} ratio of 6040\dfrac{60}{40} .
If we increase the number of selections beyond 100 can we improve our estimate?