Statistics
Here’s What a Theft Taught me about Statistics and Probability
A statistics lesson that can help you protect your valuables
Probability Theory
Wald
Survivorship Bias: The Mathematician Who Helped Win WWII
The legend of Abraham Wald
Probability Theory
The Two Envelopes Problem or Necktie Paradox
Should I switch or should I stay? The Switching Paradox
Probability Theory
Concentration of Measure: The Glorious Chernoff Bound
..and how to derive it
Probability Theory
Bayes’ Theorem and (Corona-) Virus Testing
With the current Corona Crisis going on the world, many people demand more testing. But from a mathematical point of view, just randomly (!!) testing more is not the answer. The problem here lies within the false positives that may occur when two very unlikely events are highly correlated.
Applied Statistics
The Binomial Distribution Explained
You guess all 20 questions on your multiple-choice exam. What are the chances that you pass?
Probability Theory
Math-Based Decision Making: The Secretary Problem
How probability theory answers the question “accept or reject?”
Probability Theory
What is the Birthday Paradox?
1. It isn’t a paradox. 2. It’s easy to solve.
Probability Theory
Probability and Borel Sets
On the modern definition of probability
Probability Theory
The Coupon Collector Problem
We discuss the well-known Coupon Collector problem, and provide two ways of computing the probability of winning.
Probability Theory
What is the Probabilistic Method?
On proving that things exist without constructing them
Probability Theory
Probabilities: One Problem, Two Answers.
Why probabilities can sometimes be confusing.