## 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

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a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com

# Tag: probability

## Unexpected Value

## How Many Dice Rolls Until You Get a Repeat. A Probability Experiment in p5.js

## Simon having fun solving math puzzles on Twitter.

## Trinagular birthday probabilities

## Math on the Beach

## Math Fun

## The All Common Ancestors Generation

## The Math Behind 2048

## The probability of winning a game of NIM

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