Unexpected Value
The expected value is not necessarily the value you should expect, Simon has proven to me today. It started from a morbid story about a dangerous attraction in Kyoto. We … Continue reading Unexpected Value
a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
The expected value is not necessarily the value you should expect, Simon has proven to me today. It started from a morbid story about a dangerous attraction in Kyoto. We … Continue reading Unexpected Value
How many times, on average, do you have to roll a dice until you get a repeated value? I saw this probability challenge on the Mind Your Decisions channel. I … Continue reading How Many Dice Rolls Until You Get a Repeat. A Probability Experiment in p5.js
While in Southern France, Simon really enjoyed solving this puzzle (he originally saw in a Brilliant.org vid). He was so happy with his solution he kept drawing it out on … Continue reading Simon having fun solving math puzzles on Twitter.
“What is the chance that two people in a group of, say, 30 people would have their birthday on the same day?” I asked Simon as we were sitting on … Continue reading Trinagular birthday probabilities
Sunday at the beach, Simon was reenacting the 5 doors and a cat puzzle (he had learned this puzzle from the Mind Your Decisions channel). The puzzle is about guessing … Continue reading Math on the Beach
Simon finds the explanation on Brilliant.org incomplete, so he started a discussion about it on the Brilliant community page: https://brilliant.org/discussions/thread/games-of-chance-course-marble-problem/?ref_id=1570424
This project is a simulation of how many people can stem from the same ancestor, something Simon has learned from James Grime’s “Every Baby is a Royal Baby” video on … Continue reading The All Common Ancestors Generation
Simon shares his strategy to win a 2048 game. He has also worked out a general formula of what a maximum tile can be in any grid. For a 4 … Continue reading The Math Behind 2048
Simon has tried to find out whether each of the players have equally fair chance to win a NIM game. In many games that’s exactly the case, but not in … Continue reading The probability of winning a game of NIM