## THE VOLUME OF A SPHERE IN N-DIMENSIONS: WHERE’D THE VOLUME GO?

There was this mensa IQ question I saw back when I was 16. “Fill in the blank” it asked, It’s one of the earliest problems that got me to jump down the math rabbit-hole, so I’m happy to share the solution here with you today, its intuition, and perplexing ramifications. First: the pattern. It’s the surface area, […]

## PROBABILITIES ALWAYS SUM TO 1….RIGHT?

Well – it depends what you mean by that. I get this question every time I teach probability, so I figured I’d put it and its answer out there for everyone once and for all. “Why do we use probability density functions (pdfs) for continuous distributions and probability mass functions (pmfs) for discrete distributions?” Put […]

## THE VOLUME OF A SPHERE IN N-DIMENSIONS II: VOLUME FOUND

This one’s related to another post on the volume of a sphere in n-dimensions. The story there goes something like this: find the next term in the sequence, The observation is that the sequence represents radians, circumference of a circle, the area of a circle, the surface area of a sphere and the volume of a sphere. […]