Category Archives: Probability

Q: What fair dice can be simulated by adding up other dice?

The original question was: The five platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) are often used in games to make 4, 6,8,12, and 20-sided dice respectively. However, if you renumber the dice using nonnegative whole numbers you can create … Continue reading

Posted in -- By the Physicist, Brain Teaser, Combinatorics, Logic, Math, Probability | 14 Comments

Q: Why does it take thousands of years for light to escape the Sun?

Physicist: The original statement is often something like, “It takes tens of thousands of years for a photon to get from the core to the surface of the Sun, but only eight minutes to get from the Sun to the … Continue reading

Posted in -- By the Physicist, Math, Particle Physics, Physics, Probability | 15 Comments

Q: Why don’t “cheats” ever work on the uncertainty principle? What’s uncertain in the uncertainty principle?

Physicist: The Uncertainty Principle is often stated as “the position and momentum of a particle cannot be simultaneously and perfectly measured”.  Mathematically, it’s written as , which means that the product of the uncertainties in the position, x, and momentum, … Continue reading

Posted in -- By the Physicist, Physics, Probability, Quantum Theory | 2 Comments

Q: In an infinite universe, does everything that’s possible have to happen somewhere?

The original question was: Lets say that we determine that an event is physically possible. So that means the probability of that event is greater than zero. Right? So my question is this. Is there any sense in saying that … Continue reading

Posted in -- By the Physicist, Philosophical, Probability | 64 Comments

Q: What is the probability of an outcome after it’s already happened?

Physicist: There are a lot of subtleties to this.  Reading the question, your gut reaction should be “Duh, it’s 100%!  Wait, is this really a question?”. And yet, there are many times in which you may find yourself estimating probabilities … Continue reading

Posted in -- By the Physicist, Philosophical, Probability, Quantum Theory | 11 Comments

Q: How do you answer a question scientifically?

Mathematician: Suppose you’re interested in answering a simple question: how effective is aspirin at relieving headaches? If you want to have conviction in the answer, you’ll need to think surprisingly carefully about how you approach this question. A first idea … Continue reading

Posted in -- By the Mathematician, Math, Philosophical, Probability | 4 Comments