A Piece of the Pi: mathematics explained

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Probability 🎲

Solving a maze with two exits
Given a maze based on a square grid with an entrance at A and two exits at B and C, is there a navigational strategy that guarantees a 50% probability…
 • 
Richard Green
The infinite monkey theorem
The infinite monkey theorem is the observation that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will…
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Richard Green
3
Benford’s Law
Benford’s law is the observation that in many real life sets of numerical data, the leading digit is likely to be small, and is equal to 1 about 30% of…
 • 
Richard Green
Loaded dice and unfair polynomials
If you throw a pair of fair dice, you are six times more likely to throw a total of 7 than a total of 12. This is because the only way to throw a 12 is…
 • 
Richard Green
5
The best denominations for coins
What is the best way to give change so as to minimize the number of coins used? The obvious way to do this using the widely used coins in the US (25…
 • 
Richard Green
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