# Tagged Questions

A probability provides a quantitative description of the likely occurrence of a particular event.

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### Linear discriminant analysis posterior not giving expected values in R

I have two normal distributions fg and bg with mean (mu) and standard deviations (sd) as follows: ...
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### Contradiction between the Law of Large Numbers and the Gambler's Fallacy? [duplicate]

If I flip a fair coin 10 times, and all of them land on heads, according to the Law of Large Numbers I am more likely to get tails on the next flip. However, this is clearly the Gambler's Fallacy. ...
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### When is Latin Hypercube Sampling (LHS) a good idea?

In this paper: http://salserver.org.aalto.fi/vanhat_sivut/Opinnot/Mat-2.4108/pdf-files/emat08.pdf [1] equation 6 shows that if $\operatorname{ cov} \left(f\left(x_1\right),f\left(x_2\right)\right)$ is ...
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### How do we know that the probability of rolling 1 and 2 is 1/18?

Since my first probability class I have been wondering about the following. Calculating probabilities is usually introduced via the ratio of the "favored events" to the total possible events. In the ...
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### Probability of finding a new smallest value

I am doing some simulations and I need a good heuristic for when to stop the simulation. The simulation continuously outputs data with a cost in the range [0,1]. ...
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### How do I know if LHS will reduce my sampling error?

In this paper: http://salserver.org.aalto.fi/vanhat_sivut/Opinnot/Mat-2.4108/pdf-files/emat08.pdf equation 6 shows that if $cov(f(x_1),f(x_2))$ is positive LHS does not reduce random sampling error. ...
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### How can I apply discriminant analysis (multivariate) if my data is not normally distributed?

As LDA and QDA assume normality and homocedasticity, and my data is not that well behaved... is there any other kind of robust technique I could use? Could applying box cox transformations and then ...
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### Calculating the probability of a successful marriage lasting N years

In reading the US HHS report on marriage trends, I was interested in calculating the probability that a marriage for a specific person with different qualities (male/female, education, race, age) ...
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### Probability of a single real-life future event: What does it mean when they say that “Hillary has a 75% chance of winning”?

As the election is a one time event, it is not an experiment that can be repeated. So exactly what does the statement "Hillary has a 75% chance of winning" technically mean? I am seeking a ...
if $X_1$ and $X_2$ are random variables that marginally have a normal distribution, is it true that the joint $(X_1,X_2)$ has a distribution according to a multivariate normal density distribution? ...