The first one is how to cheer up your friend…
Just don’t tell him he should have one ovary
This actually appeared in a textbook…
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:
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.“