Presenter: Now on BBC2, Open University Mathematics Module 5: Introductory Fractions with Dr.F.Beard and Dr.L.Shirt from Sussex University Department of Pure and Applied Mathematics.
A: Is this a pants shop?
B: In the set that is shops, we are the subset pants, yes sir,
with a probability of 1.
A: I'd like three pants please.
B: You mean one and a half pairs of pants.
A: Right, I'd like a pants and a half please.
B: But that's only three-quarters of a pair of pants. That's of no use to anyone.
A: I'll have double that then.
B: So that's one and half pairs of pants, is it?
A: Yes.
B: I'm sorry, sir, we only sell integer multiples of pairs of pants.
A: But I've got an above average number of legs!
B: That's true. Indeed, anyone with two legs has an above average number of legs. Although it may be true that most people have two legs ...
[Open University Velcro Sign "Most people have two legs"]
... a small number of people have only one leg. No-one has three legs. That would be weird.
[Another Sign "Having three legs is weird"]
A: Note that we have neglected siamese twins in this analysis.
B: So where did the customer go wrong? Think about it for a
moment...
[Comedy Pause]
... That's right!
A: I should have ordered three pairs of pants. As we can see here...
[Another Sign: Monster equation = 3 pairs of pants]
B: Note that in this analysis, we have neglected quantum effects. And boxer shorts.
A: And that's all we've got time for this week.
[Open University Music - and end sketch]