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Take a set of numbers A and form A+A, the set of all distinct sums, and A*A, the set of all distinct products. How do the sizes of A, A+A, and A*A compare?

As you know, Google+ is going away soon.

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https://johndcook.com/blog/newsletter/

https://johndcook.com/twitter

If you'd like to hear from me outside of G+, you can subscribe to my blog or follow me on twitter.

https://johndcook.com/blog/newsletter/

https://johndcook.com/twitter

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Landau's license plate game and Kolmogorov complexity

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Randomized procedures do unexpected things--by design!--and when they do, people will ask questions. Sometimes they sue. It's not enough for randomization procedures to be fair and statistically valid. They also need to be defensible. You may need to prove to a judge or jury that your procedures are fair and valid.

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Probability modeling question: Do school size and better coaching benefit varsity or junior varsity teams more?

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There's been a lot of discussion online lately about the unsolved Flint Hills problem, the question of whether the sum below converges. This post makes an analogy with probability that suggests the sum diverges.

https://www.johndcook.com/blog/2019/01/21/flint-hills/

https://www.johndcook.com/blog/2019/01/21/flint-hills/

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If you've subscribed to my blog via RSS or email, your subscription may have stopped. Please see this post for how to update your subscription. Thanks.

https://www.johndcook.com/blog/2019/01/17/feed-update/

https://www.johndcook.com/blog/2019/01/17/feed-update/

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