On 3/28/2023 11:23 PM, Robert Zimmerman wrote:
> Art Benjamin, a math prof and strong backgammon player, argues that high school students should learn statistics and probability rather than calculus.
Speaking of Art Benjamin, he recently gave a talk about races in
backgammon.
https://vimeo.com/experimentalmathematics
I haven't listened to it yet, but I plan to. It's geared toward
an audience of mathematicians who might not play backgammon, so
it may not be to the taste of all r.g.b. readers. I've talked
with Art about this topic and read some of his PrimeTime articles,
and my takeaway is that the salient features of his method are:
1. more accurate EPC estimation tricks, and
2. explicitly taking into account variance.
Part 2 may be thought of as an elaboration of the traditional
distinction between "pip-like" positions and "roll-like" positions.
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Tim Chow