Candy Distribution

A bar graph of the colour distribution in a recently opened extra-large packet of Smarties. Like most people, I have an intrinsic (false) expectation that random distributions will result in relatively even numbers of each colour, and that the difference in purple and brown is meaningful in some way. But in a truly random system any variation (including one where purple leads by a large margin) is equally likely.

I have yet to open a box that’s all red. 🙂 What a glorious day that would be. Assuming every box has 71 Smarties in it, the odds of getting a completely solid box of one colour are 1 in 23,446,881,315. (if my math is right : (71+(8-1))! / (8! x 71-1!)  )

(Edit: An update on the math here. The formula I used tells you the number of possible combinations of 71 smarties in 8 colours, but with some combinations being more likely than others, it doesn’t correlate directly to the odds. ie: There’s one set where all of the smarties are green, but 71 sets with 70 green and 1 red. As Fred points out, the actual odds are probably closer to 8^71, but it gets a bit more complicated when the order doesn’t matter – I’ll have to consult my stats books. 🙂 )

Of course, a box of all reds is likely to trip some kind of Oompa-Loompa alarm at the Wonka factory, and they’ll toss me into a vat of chocolate and sing a catchy song while I’m being candy shelled.

Smarties

Ermagherd Revierrws

A bunch of things I’ve seen over the summer:

The Edge of Tomorrow – Neat-o! – This fun sci-fi flick has Tom Cruise repeating the same day over and over – a day where he and his platoon are wiped out by alien invaders. It could have gotten really repetitive, but clever editing and the director’s faith in the audience (thank you for not dumbing this down) let the film maintain it’s momentum while adding a neat sci-fi twist to familiar “storming the beaches at Normandy” film tropes. My only disappointment was that the cool music from the trailer wasn’t in the film!

X-Men : Days of Future Past – Fun! – The X-Men are being wiped out in the future by menacing shape-shifting robots, so they send Wolverine back to the 70’s to change the timeline. It was nice to see nearly the entire X-Men family in one film – holy cameos – and everyone managed to get in on the action in one way or another. Quicksilver steals every scene he’s in – so much fun. If you’re a fan of the franchise you eventually have to catch this one.

22 Jump Street – Funny! – Basically the same premise as the first movie (infiltrate a school looking for drug dealers) but this film knows it’s a sequel and it’s full of self-referential humour and amusing setups. Some of (a lot of) the jokes are a little potty-level, but it’s a surprisingly intelligent film with lots of laughs.

Imposter – So Messed up in a Good Way – This documentary wins all the creep-out awards. A Spanish man poses as a missing American adolescent and somehow nobody seems to notice? This is a super incredibly messed up story about the power of denial and how far you can get taking advantage of people’s hope – BUT THEN THERE’S A TWIST. About five minutes before it’s spelled out, I suddenly saw what was coming, and nearly fell off the couch. Watch this film.

Orange is the new Black – Surprising – This Netflix original series is up for dozens of awards this season and deservedly so. Walking a very weird line between comedy and dark drama, the show alternates between fish-out-of-water “Martha-Stewart in prison” scenarios, to brutally honest tear-downs and violent attacks. Tons of excellent performances by excellent actresses with a lot of material to work with – really rich characterizations and relationships make this a riveting series.

Attack on TitanSo Messed up in a Bad Way – Medieval humans are pushed to the brink of extinction by ravenous man-eating giants in this weird and twisted anime series. The animation is super ugly and disturbing, I think intentionally – but after the first few episodes I was hooked. There’s a lot of neat stuff happening here, particularly the spider-man suits, but the show is almost unwatchably paced – entire episodes are dedicated to explaining soon-to-be-foiled survival plans, major characters are eaten so often you’ll quickly stop caring for the ones left over, and the explanation for major mysteries are always teased but never revealed. After watching the entire first two seasons on Netflix, only to end in yet another unresolved cliffhanger, I’m not sure I want to watch any more.