Probabilities Definition and 382 Threads

nebody here play poker? considering that we're probably smarter than the avg. person at calculating mathetmatical probabilities, i'd guess if we learned a little psychological strategy, a little study of poker books and playing experience, winning a few poker tournaments wouldn't be too...

There is a gambling game here in my country Philippines (I hope this discussion's allowed in this section - if not then I truly apologize). Its based on the last two digits of the daily lottery from 00 to 99. So there is a chance of a number comming out 1/100 in a year 365/100... But since...

A wave function psi = 3i|up> + 1|down> corresponding to the spin of the electron. If I want to draw the distribution of the measured outcome, do I do the following?Probability of spin up = 0.9 Probability of spin down = 0.1 So I would draw a bar graph showing that spin up has a value of 0.9...

I just want to check my answers/reasoning as I'm not sure if I assumed the right things to do these problems. N = {N(t), t>=0} ~ Poisson(1) and N_{(t,t+h]} = N(t+h)-N(t) Determine P(N(4) =3|N(2) = 1) Here I presumed that since N(2) = 1, then there must be 2 more arrivals in the interval...

http://www.geocities.com/gotoyourhouse88/qiangzhe/untitled.JPG

Could anyone please help me with making a start... and a finish to this little exercise. Many thanks Nat. Four people A, B, C and D are to play in a small table-tennis tournament played on a simple knock-out basis: their names are drawn at random to play in two pairs, then the two winners...

Probability self-study question (please see attached png for diagram). In the following diagram, A, C, and F have a 50% chance for success. B, D, and E have a 70% chance for success. What is the overall probability for success? Here's what I've done: A \cap \left[ C \cup \left( E \cap...

Wooo :D I had a sweet night at the casino tonight. I put in $2 on this quarter machine and on my last 2 credits, won't $38! Then on a $1 machine, i put in $40 and at the last 3 coins, i hit something good and got up to 70 credits and after 3 more spins, i hit this weird bonus round and won...

A box is separated by a partition into two parts of equal volume. The left side of the box contains 500 molecules of nitrogen gas; the right side contains 100 molecules of oxygen gas. The two gases are at the same temperature. The partition is punctured, and equilibrium is eventually attained...

What are the probabilities of Earth like orbits, and solar systems like ours?

I have a bag of M&M's that is 22.5% Blue, 12.5%Brown, and 65% other. If I pull 12 M&M's from the bag, what is the probabiliity that exactly 2 are blue and 3 are brown? I used the binomial to find the probability of 2 blue and 3 brown, and I want to multiply them together to get the answer...

Can anyone point me how to: Work out the number of Supernova's that would have occurred in the Universe from the big-bang up to the present time? Basically I want a good idea of how many Type 1 or type 2 supernova's have probably occured, thanks.

Can we say that the classical (Kolgomorov axiomatization) and quantum probabilities results are different, when we consider only the statistical results (i.e. the probability of events)? Can we really distinguish a classical statistical result from a quantum one (i.e. the born rules)? What...

i'm stuck trying to figure out this probabilities problem for my thermodynamics class. the question is: consider an idealized drunk, restricted to walk in one dimension (eg. back and forward only). the drunk takes a step every second, and each pace is the same length. let us observe the drunk...

Does it make sense to speak of the probability of finding a system which was once in the ground state in a higher state after a certain time? Since the Hamiltonian depends on time, once you collapse the wavefunction at that time, the energy you get can't be one of the values of the unperturbed...

Bell's Theorem and Negative Probabilities Introduction ============ Author's note: This post is based on Bell's Theorem (1). I have reformulated the presentation to make it a little easier to see that "Negative Probabilties" are a seemingly paradoxical consequence of his work. The Bell...

Here's my question... For a hydrogen atom in the ground state, what is the probability to find the electron between 1.00a and 1.01a, where a is the Bohr radius? It is not necessary to evaluate any integrals to solve this problem. I know that P(r)=r^2*(R(r))^2. I used the R(r) expression...

I need help calculating some probabilities. Here is my case: There are 5 possibilities for an "experiment" : Right, Centre and Left, Up and down. Chance of R = Chance of L = 26% Chance of C = 38% Chance of U = 8% Chance of D = 2% What is the possibility of each distribution in a...

Hello. Consider a two object spin system. For t>0 the Hamiltonian is given as: H= 4*LAPLACE/h_^2 * S_1*S_2 The initial state is given as |+->. I need to calculate the probabilities of finding the system in one of the four possible states (|++>,|+->,|-->,|-+>) a) by solving the problem...

Hi guys. ===================================================================== Can you help me with these problems in combinations.I don't know if my solutions are correct. ===================================================================== Problem 1 ========= There are 3 classes,each...

Hi again...This is my last question for today. I know that i send a lot of threads but...i don't have anyone else to help me. Most of the times i don't send any solutions.I try but sometimes i don't understand and so...i don't have something to write.I post frequently because if i don't...

Hi...Can you please check if my proof is correct? Exercise: A1,A2,...An are independently events. Prove that : P(A1[union]A2[union]...[union]An) = 1-Πi[element-of]I(1-P(Ai)) note for this (Πi[element-of]I(1-P(Ai)) I={1,2,...n) P([intersect]Ai)= Π P(Ai) for 3 events A1,A2,A3 means...

Hey there. :smile: As part of our quantum assignment we;ve to also look at a simple classical oscillator (it's part b to a question about the one dimensional harmonic oscillator). Problem is, I can hardly remember a thing that isn't to do wih quantum! So any help here would be...

Today my little cousin (age 10) showed me a line from his book (The Usborne Guide to Playing Chess, or something like that) that claimed that the total number of possible chess moves is greater than the total number of atoms in the known universe! I don't remember the exact wording, so I guess...

Yahtzee involving Mathematical Probabilities... First off, has anyone played this game before? I haven't, but it would be of great help if someone who knows the game, could answer some questions. (I don't need anyone to solve anything. I solved all the computations, I just want confirmation...

I've been thinking about quantum particle waves interacting with potential barriers, specifically the case of a particle interacting with a step potential, reading from a website which deals with the time-independent solutions for individual eigenfunctions of the momentum operator. We can...

Hello , I have a transition matrix Panel A:Moody's Aaa Aa A Baa Ba B Caa default (%) (%) (%) (%) (%) (%) (%) (%) Aaa 91.897 7.385 0.718 0 0 0 0 0 Aa 1.131 91.264 7.091 0.308 0.206 0 0 0 A 0.102 2.561 91.189 5.328 0.615 0.205 0 0 Baa 0 0.206 5.361 87.938 5.464...

How could I calculate the probabilities of winning a battle in the game Risk (for example, if I attack 10 guys with 15 of my own)? For those who don't know the game, the attacker throws 3 and takes the best 2 dices, the defender 2, but a defence dice beats an attack dice on the same number...

Does anyone have instructions on the use of the TI-83 for a probabilities and stats class. thanks nauticxa

When light is incident on a surface of water, for example, some of the light is reflected and some is transmitted and refracted. As I recall, the percentage of light that gets reflected will be determined by the quantum probability that light will reflect at that interface. First...

Concerning coin flip probabilities... In my graduate undergrad & grad stat classes I learned the probability of getting heads or tails is 50/50. But I have something to toss out into the ring for comment... According to my limited research, the 50/50 probability appears to be a mean...

Recently, i had learned about probabililties. My E.maths teacher had said that to avoid problems, the questions will always use phrases like "unbiased die", etc. But the problem is, aren't all die inherently biased? If i were to use a die which had pits to represent the numbers. Won't the 1 side...