## 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 theory

## Unexpected Value

## Math Fun

## Experimenting with random walks in Wolfram Mathematica

## The probability of winning a game of NIM

## Flipping Coins

## Random Number Generator Graphing Probability

## Probabilities and Logarithms

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

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

Simon’s code is published online at: https://www.wolframcloud.com/objects/monajune0/Published/Random_walk_distribution.nbhttps://www.wolframcloud.com/objects/monajune0/Published/Random_walk_distribution2D.nb “If I take many random walks and see what the endpoints of those random walks are, what I’ll find is a Gaussian distribution!” … Continue reading Experimenting with random walks in Wolfram Mathematica

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

Simon created this coin flip simulation in the form of a game that runs until you get 10 heads in a row. In the video, he explains what the chance … Continue reading Flipping Coins

This random number generator Simon built in Processing simultaneously graphs the probability of the values as you “throw the dice”. This is Simon’s own code and what’s more, he … Continue reading Random Number Generator Graphing Probability

What does Simon do when he is sick and free from having any lessons? Follow a course on probability theory and logarithms (which he watched four times), writing equations and … Continue reading Probabilities and Logarithms