0
votes
0answers
8 views

looking for asymmetric probability distribution

In physics, quantities are sometimes measured with both an upper and lower error. For example, I might say that an object's mass is $m = 10^{+0.1}_{-0.2} \text{ kg}$. In my case, these arise from ...
0
votes
2answers
109 views

Probability of rolling a cuboid dice

It's easy to count the probability of events on a regular dice because we know the probabilities ($P(1)$, $P(2)$, $P(3)$, $P(4)$, $P(5)$, $P(6)$) of all the basic outcomes ($P(i)=\frac{1}{6}$). ...
1
vote
1answer
38 views

Probability distribution of two party quantum states

I am going through a blog post written by Thomas Vidick. It states following three assumptions by Bell. Measurement independence (“free will”): the state $\lambda$ is independent of ${x,y}$ (since ...
17
votes
2answers
360 views

Angular distribution of lines passing through two squares.

Let's say I've got two squares with side length $d$ that are held parallel at a distance $m$ apart. Suppose that particles are randomly falling from above in such a way that the polar angle ...
1
vote
0answers
60 views

Convolutions of Path Integrals of Gaussian Functions

I was looking at a question on a physics forum (http://physics.stackexchange.com/questions/45955/splitting-light-into-colors-mathematical-expression-fourier-transforms) and I wanted a more ...
1
vote
1answer
272 views

What is the relationship between variance and energy

I was speaking with someone today who told me that variance, in the sense of probability theory, is equivalent mathematically to energy in physics. Can anyone elaborate on this relationship?
1
vote
1answer
82 views

Probabilistic interpretation of $\sum_{n \geq 0}\mathrm P_{n}(t)= 1$

The following is a problem from Spiegel's Applied Differential Equations: The probability $\mathrm{P}_{\mathrm n}(t)$ that a counter (such as a Geiger counter) will register exactly $\mathrm n$ ...
0
votes
1answer
146 views

Calculating the probability that a cord makes a knot

I use earphones to listen to music. The cord connected to the earphones often gets entangled in my pocket and makes a knot, which I always find hard to untangle. How can I define and calculate the ...
8
votes
4answers
6k views

Calculating the probability of a coin falling on its side

A classical example that's given for probability exercises is coin flipping. Generally it is accepted that there are two possible outcomes which are heads or tails. However, it is possible in the real ...
4
votes
2answers
676 views

Incandescent light bulb lifetime - exponential distribution?

It's been said that incandescent light bulbs lifetime has exponential distribution. As I understand, this means a 10,000 hours time-to-failure has the same probability no matter how long the light ...
2
votes
3answers
2k views

Probability concerning unfair dice with N sides

Fair warning: I am not a math expert (that's why I'm here). I would like to be able to calculate the probability of rolling a certain side on a die with n sides where any number of those sides has an ...