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File: ColinAndRob The below is now out-of-date and could do with a review.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: ********> width="48%" [[[ 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 ]]] ******** width="4%" ******** width="48%" [[[ 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 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 1 Tower of books and the worm puzzle? * Related to the harmonic series diverging * Related to ln2 1 "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!! 1 Win £5 each! * 10 members of audience have to pick day from next month * if a coincidence host wins * best of three wins 1 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. 1 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. 1 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 1 Number chains: the 3n+1 problem 1 Magic, mind-reading * Max Maven's planets * Greatest card trick ever * Best poker hand - /as/per/ Derren Brown 1 Win $\$$1million dollars * P=NP * Poincare * Riemann 1 School scarf 1 The Adidas football 1 Pizza 1 Limericks (connection between limericks and fibonacci) 1 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.