Number Theory
Probability, Relativity and Pascal’s Triangle
Adding probabilities and velocities have at least two things in common — a maximum and Pascal’s triangle.
Probability Theory
Statistics
Leading Digits and Benford’s Law
An intuitive way to understand Benford’s Law and how it applies to the powers of two
Probability Theory
What is Probability For?
To start with an analogy, what is money? Textbooks and Wikipedia say that money is a medium of exchange, and a store of value, and a unit…
Probability Theory
What is the Significance of the Kolmogorov Axioms for Mathematical Probability?
It is widely said that the Kolmogorov axioms provide the standard mathematical formalization of Probability.
Probability Theory
Beauty in Simplicity: Markov’s Elegant Inequality
In this article, we introduce the simple but very useful Markov’s inequality for non-negative random variables.
Bayesian Statistics
The Carter Catastrophe
A Bayesian argument for why humans will soon be extinct
Probability Theory
How to Win at Roulette: Intro to Probabilities and Expected Values
Why you still shouldn’t play. The Martingale Strategy
Probability Theory
The Waiting Paradox: An Intro to Probability Distributions
How much longer do I have to wait for my bus?
Mathematics
Understanding Exponents
Countering Our Limited Intuition Towards Exponential Functions
Mathematics
How to Count Cards
An Homage & Walk-Through Of The Infamous Hi-Lo System
Mathematics
What is a Black Swan event?
Necessary and sufficient conditions
Mathematics
Understanding the Monty Hall Problem
I was recently listening to a podcast that was recommended by a blogger on this site, and during one episode discussing big-O theory, the…