de en es fr nl pl pt sv zh

probability

Differentiating ensembles and sample spaces: Alignment between statistical mechanics and probability theory

msuzen

Preamble Sample space is the primary concept introduced in any probability and statistics books and in papers. However, there needs to be more clarity about what constitutes a sample space in general: there is no explicit distinction between the unique event set and the replica sets. The...

Why is the Universe Quantum?

Aram’s Lair of Mad Science

Quantum mechanics is such a bizarre theory. In the iconic thought experiment, Schrödinger’s cat couldn’t decide whether to be dead or alive until it was looked at. It’s natural to ask ourselves: why is the Universe like this? Must it be so, or could a classical universe equally well support life...

Is probability real? (Part 1)

Aram’s Lair of Mad Science

Today, I want to address an issue with statements involving chance. To demonstrate, let’s first consider a statement that doesn’t involve chance: “A cubic die tossed onto a flat surface will come to rest on one of its six sides.” This claim can be empirically tested, with various dice and...

Some Shuffling Required

Zack M. Davis

"I'm going to need about 600 bits of entropy for this. Can you go the store and pick up some playing cards for me? Let's see, six hundred divided by log-base-two fifty-two-factorial—yes, three packs should be enough." (Later, opening them ...) "What the—!?"