Back in college I wrote The Mathematics Behind "Ride the Bus", detailing the mathematics behind expected drinking while playing a game of luck skill where someone deals a card off the top of a shuffled deck one at a time, and you have to answer four questions about the next card: get one wrong, and you go back to the beginning. I recently looked it up again and wanted to know the median — when adding it I noticed and fixed some mistakes I made in my original simulation, and while I was at it, found a closed form for the odds!
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While I'm not lactose intolerant I have a lot of friends who are, and so as a generous host I like to keep Lactaid on hand. I noticed that the letters for the Tic Tac logo could be moved around to make Lactaid, so I figured rather than keep them in the normal packaging I could make a custom box!
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I try not to be on my iPhone (hence my guides for automatically making it grayscale and not knowing your Screen Time code). The main tool for keeping tabs on this is Apple's Screen Time feature which, while limited in granularity, is better than nothing—until it's wrong. Recently Screen Time started showing large, undetailed grey bars, none of which matched up to the Most Used categories. Where does that time come from?
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