I break down the mathematics of creating a perfect March Madness bracket, with the power of statistics.
probability
Math With Dice – Part 3: Weird Dice/Dice Weighting
As dice are meant to be completely random, and therefore fair, it is important that a die is weighted evenly – which can become very complex. When you design a die, you have to make sure that all the parts are balanced. This can, however, be achieved even with very unconventional dice. A website called The … Read moreMath With Dice – Part 3: Weird Dice/Dice Weighting
Math With Dice – Part 2: Probability of Rolling Each Number
As a follow-up to my last post about dice, today we’re going to be looking at some more interesting properties of rolling several dice. Yesterday I calculated the probability of rolling a 6 on several dice at a time, but now I’m going to explain what happens when we find the outcome of multiple dice, all … Read moreMath With Dice – Part 2: Probability of Rolling Each Number
Math With Dice – Part 1: Probability of Rolling Six Sixes
Dice are fun – you can roll one and quickly see a random output from 1 to 6 – without electricity! But it’s even more fun when you roll more than one. You can easily see that if we attempt to roll several dice and get one number – for example, 6 – on all of them, … Read moreMath With Dice – Part 1: Probability of Rolling Six Sixes
JavaScript “Dust” With Distance-Based Probabilities
I recently wrote a program in JavaScript that generates “dust” by picking a random pixel on the screen, then deciding randomly whether to shade it in or not. The farther away the pixel is from a certain point (in this case, (700, 350)), the lower the chance it will be shaded in. To determine the … Read moreJavaScript “Dust” With Distance-Based Probabilities