Quoting from the math subreddit:
“Proof — easy numeric comparison. There are 52! possible orderings of a deck, and I’m assuming all are equally likely after your shuffling. Let’s wildly overestimate and assume that every second since the universe was created, a million decks of cards were shuffled and someone looked through them. Thus fewer than 10^24 orderings have ever been seen.
But at an incredibly crude estimate, 52! is at least 10^42 * 10!; let’s underestimate that again wildly by 10^42. That means that chances of your ordering ever having come up previously are at most 1 in 10^18.
(Note, by the birthday paradox, the chances that there have been two identical orderings observed by two people in history are quite a bit higher — perhaps even feasibly likely; I haven’t calculated it. But we’re looking here at the probability that a given ordering matches one of the ones previously seen.)“
This is pretty funny (via the consumerist).
Comcast sent a letter to this guy named Aaron demanding he pays -$0.05 to avoid interruption in service.
This is old but curious nevertheless:
The y-axis is % of majors that are virgins
The x-axis is of course the student’s major.
Seems that Wellesley College is an all-girls college? Some insight into the origins of the graph.
As stated on the WolframAlpha blog, new features have been implemented:
“You can ask directly for the probability of a full house or other common hands, as well as the probabilities of various outcomes when you play Powerball, roll two 12-sided dice, or repeat any sequence of trials with a 20% chance 4 times.
… Other additions have brought everything from Archimedes’ axiom to semiaxes and square pyramid syntax into our body of computable knowledge and functions.“
I just watched that movie called Old School (yes it’s from 2003). They had a nice math question during the movie. It was as follows:
Which of the following is a generally accepted graphical technique for determining first order system parameters?
a) Harriot’s method of solving cubics
b) Pythagorean triplets
c) The migration method of graphing quadratic functions?
You can see the clip over at Oliver Knill’s site: mathematics in movies.