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But wait, there's more! A footnote with another quick explanation of the formula, and some added discussion of independence.https://youtu.be/U_85TaXbeIo
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New video! Bayes' theorem, and making probability intuitive. I had fun bringing in some Kahneman and Tversky results to show where human intuition seems to jive with probability, and where it doesn't. https://youtu.be/HZGCoVF3YvM pic.twitter.com/m6TtrG7Zsu
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Remember that video about how block collisions can compute the digits of pi? A friend, Adam Brown, just showed that the math underlying this is actually identical to the math behind a very famous quantum search algorithm (Grover's): https://arxiv.org/abs/1912.02207 Genuinely crazy!pic.twitter.com/mZKx7gnLQv
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Looking for a gift for a math-lover? Say, - A tie referencing its own topology - Socks illustrating the dynamics of a pendulum. - A cuddleable constant of nature - Euler characteristic mugs 10% off at http://3b1b.co/store , plus free shipping for orders over $50.pic.twitter.com/GUPhVtAoHa
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Do you know who originated this problem? I just saw it in this comment:pic.twitter.com/JQTiIMrHj1
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I did a walk-and-talk style Q&A to (belatedly) mark passing 2^21 subscribers.https://www.youtube.com/watch?v=Agbh95KyWxY …
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Check out this great explanation of PCA by Casey Li, using manim for the illustrations. https://notsquirrel.com/pca/ pic.twitter.com/dn8t8ssuDo
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Hopefully, within a month, I should have a relatively comprehensive answer for those friends. I do have this:https://www.youtube.com/watch?v=m2MIpDrF7Es …
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The general formula for the probability of a collision when making k choices from a collection of N possibilities looks like this.pic.twitter.com/2dPQlX5g5J
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You can think of the birthday paradox by asking the probability of drawing 23 people successively so that each one has a birthday not yet seen. This gives the probability of no collision, so the probability of a collision is 1 minus this.pic.twitter.com/AlyzzVbZtc
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