Colin And Rob

The below is now out-of-date and could do with a review.

New topic: If a tennis player wins points with probability 95% on their serve, their odds of winning a game from 40:30 up are worse than from love all.

Need to ensure the theme of "Imagination" runs through the entire afternoon.

Main programme

14:00	Introduction
14:05	Rob
14:30	Colin
14:55	Break
15:05	Reconvene
15:10	A Farrago of topics
15:35	Last topic
15:45	Question and Answer
15:55	Closing remarks
16:00	Finish

First guess	Topic	Image
??	Win £5 each! [Birthday variant]	Calendar
cw	Magic, mind-reading cw needs to remember to prepare this.	Max
cw	Win $\$$1million dollars We didn't have this one.	Pile of money
cw	Infinity - not just a number	Buzz
cw	How big is a sheet of paper? How irrational is that!	Paper
cw	Number chains: the 3n+1 problem	A large chain
cw & re	Win a Bunny [monty hall variant]	Wile.E.Coyote
cw & re	Tower of books and the worm puzzle?	Books
cw & re	Pizza	Pizza
re	Magic Shuffle	Card
re	Tabloid sensation - Benford's Law We need to be sure they pick data, not prices, etc.	The Sun
re	Old Trafford Birthdays	Cake
re	The Adidas football	Football
re	Monopoly (where's the best property to buy and why)	Monopoly
re	Limericks (connection between limericks and fibonacci)	Integral

Here's another layout for the topics:

Presenter?

Win £5 each! [Birthday variant]

Rob:

Tabloid sensation - Benford's Law
Old Trafford Birthdays
The Adidas football
Monopoly (where's the best property to buy and why)
Limericks (connection between limericks and fibonacci)
The Magic shuffle

Colin:

Magic, mind-reading
Infinity - not just a number
How big is a sheet of paper? How irrational is that!
Number chains: the 3n+1 problem
Win $\$$1million dollars

Colin or Rob:

Win a Bunny [monty hall variant]
Tower of books
Pizza
- Where to cut for equal crusts

Introduction - Liz

Short and sweet
Outline program
Mention KPMG
Introduce Rob

Rob

What is creativity? Ah, aha and haha.
The addition sum where everyone in the audience gets it wrong
Beauty and elegance - Sudoku pattern.
Asking 'What if?'. Soccerdoku
Ability to solve unfamiliar problems - deal with numbers, Millionaire example
Lateral thinking - finding shortcuts
The ant puzzle

Handover option 1:

Rob invites Colin to help get the audience to do something??
"Those are some of my thoughts about maths and imagination, but now I'm going to hand over to Colin, please give him a round of applause"

Handover option 2:

More traditional:
- Liz thanks Rob
- Reminds audience to think of questions
- Introduces Colin

Colin

Juggling

Cut-down version of the juggling.
No Space-time diagram
- 15 minutes juggling observation
- 10 minutes of "invent then juggle"

Finish with

Announcement of interval,
Please (teachers and pupils) put your questions about ANYTHING you've heard so far in the box,
can be anonymous.

Break

Liz

After the break

"I hope everyone has put their questions in this box, any more you'd like to add now?"
Say something about the KPMG competition...
"It's time for part 2, and I understand Rob and Colin have more tricks up their sleeve so without further ado, please welcome them back..."

Farrago of topics

Structure

Choice of topics thrown up - the audience chooses
- We need a way for the audience to choose
Five minutes per topic.
- we could use the Green/Red cards to say when to stop, or whether to keep going.
  - Similar to "Let me entertain you", which some of them may have seen

Topics

Infinity
- Hilbert Hotel
  - I think you should stop at infinite buses - the last bit lost me and, I suspect, most of the audience, and the point is very well made just by stating the first three, and saying that the maths of infinity is weird because infinity plus infinity equals the same infinity.
- Balls and urns
- Light switch
- Cantor
Tower of books and the worm puzzle?
- Related to the harmonic series diverging
- Related to ln2
"Two for One" Bunny Game
- Alternative title, or sub-title, "Two for One"
- Have you seen the poster:
  - This month's deal: Buy three for the price of four and get an extra one free!!
Win £5 each!
- 10 members of audience have to pick day from next month
- if a coincidence host wins
- best of three wins
Tabloid sensation - Benford's Law
- two volunteers are given today's newspaper to pick out statistics at random.
- Discover that majority of today's stories have stats beginning 1, 2 or 3.
- Need to be sure that they choose data, not prices.
Birthdays at Old Trafford
- Pigeonhole: there are two people in every Wolves/Man Utd football crowd born on the same day
- In a premier league game, there's almost exactly a 50-50 chance that two of the people on the pitch have the same birthday.
How big is a sheet of paper?
- Playing on "How long is a piece of string" ...
- A4 paper irrationality is an everyday proof by contradiction.
- We can use the geometrical proof, not the algebraic proof.
- Irrationals: root 2, e, phi, ln2
Number chains: the 3n+1 problem
Magic, mind-reading
- Max Maven's planets
- Greatest card trick ever
- Best poker hand - as per Derren Brown
Win $\$$1million dollars
- P=NP
- Poincare
- Riemann
School scarf
The Adidas football
Pizza
Limericks (connection between limericks and fibonacci)
Monopoly (where's the best property to buy and why)

Last topic

At 15:35 the last choice is discussed by us.

If we agree, we do that
If we don't - audience vote.

Question and Answer starts at 15.45 promptly

We discussed how the hand-overs take place, but I've forgotten the details. It might be worth listing them here to make sure we don't lose them.

Hand-over 1 can be the moderator, and include a plea for questions. Then they introduce Colin
Colin finishes, the moderator announces the break, another plea for questions.
After the break - call to order.