Each card in a certain deck has three letters on it.
The first letter is either A, B, or C.
The second letter is either D, E, F, or G.
The third letter is either H, I, J, K, or L.
Every possible combination is represented exactly once in the deck. Ergo, there are 3x4x5=60 cards in the deck.
How can I determine the probability that a hand of X cards, drawn randomly from the deck, will include at least one of each of the letters?
posted by CustooFintel
on Nov 2, 2013 -
I hope that the green can help me on this- perhaps it's an easy problem for you:
I have 9 different playing cards and 2 players. The first player can take between 3 to 5 cards and the remainder are given to the second player, and then the game begins.
How many different starting hands (collectively between the two players) are there? The order of the cards in each player's hand does not matter. Thanks in advance!
posted by JiffyQ
on Aug 29, 2013 -
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]
posted by cacofonie
on Aug 1, 2013 -
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]
posted by CustooFintel
on Mar 12, 2013 -
I'm a cataloging librarian who works a couple hours a week on the reference desk. This morning I had a patron come in to ask me for sources that back up the claim that the probability that life on earth formed by random chance is so small that some kind of divine intervention is more likely. [more inside]
posted by rabbitrabbit
on Feb 14, 2013 -
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]
posted by Foci for Analysis
on Dec 21, 2012 -
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]
posted by j0hnpaul
on Nov 30, 2012 -
What great books or resources are there for practicing probability word problems such as for standardized tests like the GRE? [more inside]
posted by Mr. Papagiorgio
on Nov 8, 2012 -
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]
posted by myrrh
on Oct 27, 2012 -
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]
posted by Richard Daly
on Sep 28, 2012 -
How would one (legally) take advantage of the change in odds of a given NFL team to win the Super Bowl? [more inside]
posted by glenngulia
on Sep 24, 2012 -
Math/probability not sports: I am not a gambler, but I am trying out a method of betting on sports with some initial success. At what point can I use the numbers to confidently assume that this is down to the system rather than luck? [more inside]
posted by cincinnatus c
on Sep 19, 2012 -
I'm working through an explanation/derivation of the secretary problem that I've never seen before. I know the eventual answer, and I understand most of the steps, but explain this to me like I'm an idiot: [more inside]
posted by supercres
on Sep 16, 2012 -
Looking for an interesting blog post somewhere from a few months back about maximising your exposure to randomness or your probability of a good outcome. Think it was a geek post somewhere. [more inside]
posted by zaebiz
on Sep 4, 2012 -
After tens of thousands of games of pool, every time I rack the balls I seem to switch about half of them around. I know I'm wasting time. So, I want to know exactly how many balls I should normally
expect to swap (the median), and what is the most I should ever have
to swap. For those of you who aren't pool nerds like me, I've explained the 8-ball racking process inside. [more inside]
posted by omnigut
on Apr 4, 2012 -
What are the most mathematically 'advanced' RPG systems? Pen & paper and otherwise? [more inside]
posted by empath
on Mar 14, 2012 -
Is there an equation for figuring out the average wait time for a book on hold at the library. Or how to figure out the average wait time I have left for a book I put on hold because I'm dying to read the rest of it. [more inside]
posted by gov_moonbeam
on Oct 13, 2011 -
What is the maximum number of outs possible on the river in heads up Texas hold em? Assuming that out means a card which will take the player who is behind either level or ahead.
posted by therubettes
on Oct 11, 2011 -
I'm struggling to understand the empirical content of probability theory. I understand the mathematical theory
, and I understand how we get from empirical observations to a mathematical model. I do not understand how we get from the mathematical model back to the real world, e.g., what is the "empirical content" of a statement like "event x
will occur with probability p
"? [more inside]
posted by ochlophonic
on Sep 8, 2011 -
I'm trying to rank some non-proper poker hands within the conventional poker hand-ranking framework. I would like to rank them conventionally, i.e. on their probability of occurring in a straight, five-card deal.
The non-proper hands are:
(1) "Four-card straight" (four cards in a row);
(2) "Four-card flush" (four cards of the same suit);
(3) "Four-card straight flush" (four cards in a row of the same suit);
(4) "Same-color flush" (all 5 red cards or all 5 black cards);
(5) "Straight same-color flush" (a straight composed of all black cards or all red cards);
(6) "Four-card straight same-color flush" (a four-card straight composed of all black cards or all red cards).
My probability skills are "OK" (the odds for the four-card flush and same-color flush are straightforward), but some of them (particularly the straights) seem too tricky for me. [more inside]
posted by mrgrimm
on May 13, 2011 -
We have lost a cat. Ignoring obstacles like trees, roads and houses, I am assuming he has gone on a random walk. Me and my fiancée have been out every night since he left, also walking randomly, hoping to find him. But I know a random walk in two dimensions always returns to the origin eventually, so are we actually any better off searching for him than just staying at home? [more inside]
posted by hoverboards don't work on water
on Feb 5, 2011 -
Please refresh my memory with regard to a straightforward question of fair dice and probability. [more inside]
posted by Justinian
on Jan 20, 2011 -
Which probability distribution should I use to model examination results? [more inside]
posted by alby
on Jan 13, 2011 -
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]
posted by MuffinMan
on Jan 12, 2011 -
Is there a word for a "collection of possible future events that are all somehow related?" I want something that captures the idea of a "collection of scenarios." Or, pick an forecasted event, fear, or desire: What is "the spectrum of possible outcomes" relevant to this thing that has my attention, plausible or otherwise, expected or unexpected, the good, the bad, and the ugly? Probability cloud? Scenario collection? [more inside]
posted by zeek321
on Dec 27, 2010 -
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]
posted by francesca too
on Nov 29, 2010 -
Help me teach myself enough about probability to properly balance the board game I want to design. [more inside]
posted by Caduceus
on Aug 9, 2010 -
I'm scriptwriting an online interactive interview for a curriculum resource. There are ten questions, and students will be able to choose six of these to 'ask', and then see a video clip of each reply. Ideally, I want students to hear four strong answers and two weak ones. Based on this criterion, should I be using probabilty to work out how many of the ten answers should be weak or strong? If so, how? I think I need 6 or 7 strong answers just by applying the ratio.
posted by dowcrag
on Jun 30, 2010 -
How does one guess sports betting odds, or determine at what point to place a bet on a sporting event? [more inside]
posted by reenum
on Apr 6, 2010 -
What are some for media depictions of seeing briefly into the future, especially in terms of probability/what could have be? [more inside]
posted by Nelsormensch
on Feb 4, 2010 -
Hi everyone. Say I have a list of 50 items. I pick 10 of them. I put them back.
What is the probability that, the SECOND time I pick 10 items, I pick an item I already picked the first time?
How about the THIRD time, from the first or second?
How about the probability of picking 3 of the same item, or 5? Thanks!
posted by EduTek
on Jan 22, 2010 -
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]
posted by chrisamiller
on Dec 16, 2009 -
Here's an obnoxious school question that's been nagging me for days:
Suppose that the height (at the shoulder) of adult African bull bush elephants is normally distributed with µ = 3.3 meters and ∂ = .2 meter. The elephant on display at the Smithsonian Institute has a height 4 meters and is the largest elephant on record. What is the probability that an adult African bull bush elephant has height 4 meters or more? [more inside]
posted by incomple
on Dec 8, 2009 -
I have an event that has a 75% chance of happening. If I run the trial seven times, what is the probability of the event happening at least once? And what's the math behind it?
posted by jackypaper
on Nov 6, 2009 -
What's a fair way to chose winners for this ad-hoc giveaway? details inside... [more inside]
posted by smelvis
on Oct 26, 2009 -
Some guy recently got 3 holes in one on the same course (different holes) within 5 days. My cousin contends that the odds against this are 5 billion to one, based on something he read. He's willing to have me prove him wrong, but this is well beyond my ability to calculate. I'm good with any time period -- the likelihood of someone doing this in a year, or 10 years, or whatever. [more inside]
posted by jeather
on Sep 21, 2009 -