Rolling a 14-sided die - Physics Stack Exchange
2017年1月10日 · 2. Suppose we make a 14 sided die by taking a cube and slicing a triangular pyramid off each corner, such that there are now 6 square faces and 8 triangular faces, each with unit side length (in other words, a cuboctahedron). Assuming that the die is an evenly weighted solid and rolled with plenty of energy, what is the probability of it ...
"Regular" 20-sided die, vs "life counter" 20-sided die. Same …
Regular dice are made such that opposite sides of the die add to 1+the number of sides. For example, a 20-sided die has 14 and 7 opposite of each other, adding to 21. For certain types of games, "life counter" die are used. In these, sides are numbered sequentially, so that 1 is next to 2, which is next to 3, which is next to 4, and so on.
Creating a fair 3 sided coin - Physics Stack Exchange
1. How about a three sided prism which has an equilateral triangle as a cross section. To eliminate the possibility of landing on the triangular ends, put a pyramid made of equilateral triangles on each end. By symmetry this would have to be fair. I know you want a cylinder and this it is more like a die than a coin but I doubt the exact ...
Does the bias in a loaded die depend on gravity?
2023年5月10日 · The experimental research paper "Cuboidal Dice and Gibbs Distributions" by Wolfgang Riemer, Dietrich Stoyan, and Danail Obreschkow, indicates that when symmetry is broken (in their case, by the shape of the die being perturbed from exactly cubical), even the qualities of the surface on which the die lands affect the probability distribution of the outcomes.
Why is pressure in a liquid the same in all directions?
2012年7月11日 · 12. I'd like answers both in the more intuitive side an on the more precise side. Thinking of water as "cubes" of water, for example, would allow pressure in the z axis to be independent of the y or x axis. Choosing other "shapes", like a triangular prism, yield different results. Will this fact, then, be dependent on the format of the ...
How to determine the probabilities for a cuboid die?
The following paper discusses the 'Cuboidal dice' problem in detail: ... Rolling a 14-sided die. 1. Loaded ...
How does a half-life work? - Physics Stack Exchange
Half life 2= 11,460 years while the ratio is 1:3. Half life 3= 17,190 years while the ratio is 1:7. Half life 4= 22,920 years while the ratio is 1:15. To get the 2-4 half lives, you just add the 5,730 each time. So how I got the second half life you would do 5,730+5,730=11,460.
radioactivity - Why is radioactive decay dependent on amount of ...
It's like rolling lots dice, the number of dice showing a certain digit will be proportional to the number of dice you roll. Continuing this analogy, say you remove a die if it shows 1. This correspond to a nucleus decaying. Then at first many dice will be removed, but as the number of dice grow smaller so will the number that are removed.
Total Entropy and Entropy per trial - Physics Stack Exchange
2018年1月24日 · It's a bit unclear which part of it has had you confused, and I don't have access to your book, but from your equations $(5.1)$ and $(5.2)$ I reckon the author is simply showing how the definition of entropy in terms of log of multiplicity (number of microstates), can be re-expressed in terms of a probability distribution.
statistical mechanics - Can the second law of thermodynamics be ...
2016年4月28日 · Does it also mean that negative entropy change in a closed system can occur if the system is small enough and it's tried repeatedly enough? Kind of like if you keep guessing the outcome of a 6-sided dice several times at some point you'll get it right. If yes, has it been demonstrated by experiment?