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The below is now out-of-date and could do with a review.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

## 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

1. 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
2. Tower of books and the worm puzzle?
• Related to the harmonic series diverging
• Related to ln2
3. "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!!
4. Win £5 each!
• 10 members of audience have to pick day from next month
• if a coincidence host wins
• best of three wins
5. 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.
6. 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.
7. 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
8. Number chains: the 3n+1 problem
• Max Maven's planets
• Greatest card trick ever
• Best poker hand - as per Derren Brown
10. Win \$1million dollars
• P=NP
• Poincare
• Riemann
11. School scarf
13. Pizza
14. Limericks (connection between limericks and fibonacci)
15. 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.