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How many unique ways are there to put X rocks into Y boxes?
(Given two different sets of attributes for both the rocks and the boxes.) [more inside]

Can/how can one improve the estimate for a chance of an event with a small historical sample size by utilizing the chance of a related event with a large historical sample size? Example and half-assed guess inside. [more inside]

I'm struggling to understand likelihood ratios (LR) in the context of diagnostic tests, and why a positive LR is influenced by the sensitivity of the test. [more inside]

The fallacy is assuming that statistic information about a thing is more relevant in dealing with a particular instance of that thing than available first-hand data. [more inside]

Can you think of a method that allows an individual to pseudo randomly create a sequence of numbers (at the very least the randomness is opaque to the minds of other people) assuming said individual may only use his mind and body (no physical tools are allowed)? [more inside]

(Good) jobs involving probability and statistics other than math teacher or actuary? [more inside]

In this game, you roll a number of six-sided dice to get a **total**. The total is either the highest single die result, or the sum of any multiples rolled, whichever is higher.
For example: If I roll three dice and get a 3, 4, and 6, my total is 6. But if I roll a 4, 4, and 6, my total is 8, the sum of the two 4s.
What I want to find out is the mean, median, mode, and standard deviation of the possible totals given N dice. How might I create a simple script to compute this? [more inside]

What great books or resources are there for practicing probability word problems such as for standardized tests like the GRE? [more inside]

Statisticsfilter: Given available information about the distribution of self-selected 4-digit passwords (specifically banking PINs), is it possible to calculate the probability of two randomly selected individuals having the same PIN? If so, what're the odds? [more inside]

I'm looking to learn how to calculate probabilities for a multi-round dice game. I've researched this question some, and it looks like I might need to know how to use the multinomial distribution, but I can't find any good introductions. Please point me to the most layman-accessible educational material on this subject, and help me to help myself. [more inside]

Recommendations for great books about probability and risk. [more inside]

What are the most mathematically 'advanced' RPG systems? Pen & paper and otherwise? [more inside]

Probability Question [more inside]

How do I figure out what the size of this password's keyspace is? [more inside]

Can someone help with a probability question? [more inside]

Which probability distribution should I use to model examination results? [more inside]

Has there ever been any research done on whether there is any correlation between spurts of adding contacts to LinkedIn or LinkedIn activity and someone changing job? [more inside]

Probability filter: after eating the TD turkey we play the Turkey game which consists of tossing six dice. The six faces of each die are carved with the letters that spells turkey. Each combination of letters earn a different score (for example T U is 5 points, 3 Ts wipe all the points earned, etc.) with the first TURKEY being the winner. How many tosses would you need to spell TURKEY? [more inside]

How does one guess sports betting odds, or determine at what point to place a bet on a sporting event? [more inside]

Stats-filter: Given a binary matrix, if I know the total number of ones in a given row and a given column, can I calculate the probability that a given position contains a one? [more inside]

Actuarial / statistics geeks: a puzzle for you. [more inside]

How do I get a controlled distribution of random numbers to fairly determine a start position. [more inside]

I have a bucket containing *N* marbles: *M* white marbles and *N-M* black marbles. I need to grab a handful of marbles (*n*) and figure out the probability of having picked up *m* white marbles. [more inside]

It's late, I'm tired, and I have a probability and coding question that's fairly simple. [more inside]

How many times would I have to roll a standard 6-sided die to get a statistically representative view of whether it was truly random or not? [more inside]

for the statisticians: what probability distribution do I want to fit to my data, and how? [more inside]

I need a tool to help me analyze the probability of certain events occurring regarding a pool of X dice for a game I am creating. See my examples below.
[more inside]

Given a fair die with *s* sides, what is the expected number of rolls *r* before I get *o* outcomes with the same value *v* in a row? [Note this is emphatically **NOT** a homework problem; I just really want to know, feel like I should be able to figure it out, can't, and it is driving me nuts.] [more inside]

Which city is safer: San Francisco or Philadelphia? [more inside]

Looking for ideas for teaching probability to kids. [more inside]

Probability: A coworker is having an issue with deriving a few formulas for a Weibull distribution. Any pointers? [more inside]

In my exploration of poker odds and strategies, I've developed more programs for examining situations. I need help evaluating some of the probability and statistics involved. [more inside]

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