THE RISKS OF LIFE

1. THE RISKS OF LIFE Video Conference #3 Scams & Cons

2. Psychic Powers • How does this card trick work?

3. The shuffle • Cards are ordered 1234512345 • Cutting the cards does not • change the cyclic order. • For example, a cut between 2 and 3 will move the card order to 3451234512, but the original 1234512345 is still there.

4. The 5 Card Piles the secret move • Assume cards are in their original order…….. • Counting 5 cards gives 12345 in one pile and 54321 in another. • This is a PALINDROMIC STACK • (values in one pile are exactly reversed in the other)

5. The Swaps • The number of swaps is always one less than the number of cards in the pile. • Consider only 3 card values. • You could do 2 swaps in the first pile • OR 2 swaps in the second pile • OR 1 swap in the first pile and 1 swap in the second pile

6. 2 swaps in the first pile • 1 3 • 2 2 • 3 1

7. 2 swaps in the first pile • 3 • 2 2 • 3 1 • 1

8. 2 swaps in the first pile • 3 • 2 • 3 1 • 1 • 2

9. 2 swaps in the first pile • 3 • 2 • 3 1 • 1 • 2

10. 2 swaps in the second pile • 1 3 • 2 2 • 3 1

11. 2 swaps in the second pile • 1 • 2 2 • 3 1 • 3

12. 2 swaps in the second pile • 1 • 2 • 3 1 • 3 • 2

13. 2 swaps in the second pile • 1 • 2 • 3 1 • 3 • 2

14. 1 swap in the first pile1 swap in the second pile • 1 3 • 2 2 • 3 1

15. 1 swap in the first pile1 swap in the second pile • 3 • 2 2 • 3 1 • 1

16. 1 swap in the first pile1 swap in the second pile • 2 2 • 3 1 • 1 3

17. 1 swap in the first pile1 swap in the second pile • 2 2 • 3 1 • 1 3

18. Maths behind the Scam • This will work any number of cards N that are placed in order in palindromic stacks. • When we make N-1 swaps, as one card is moved down its equivalent rises in the other stack so that the ones meeting on top of the piles match.

19. Monty Hall Problem • Probability puzzle based on an American Gameshow • ‘Lets Make a Deal’ • Named after the host • ‘Monty Hall’

21. Monty Hall Activity • In pairs, use your cups and prize to simulate the Monty Hall problem. Try swapping and not swapping as many times as possible. Decide on one of the following conclusions: • To increase your chances of winning you should: • Swap? • Not Swap? • Does it matter?

22. Monty Hall Activity

23. Results (% of wins)

25. Swap or Not?

26. Swap or Not?

27. Swap or Not?

28. Swap or Not?

29. Swap or Not?

30. Swap or Not? DON’T SWAP

31. Swap or Not? DON’T SWAP

32. Swap or Not? DON’T SWAP

33. Swap or Not? DON’T SWAP

34. Swap or Not? DON’T SWAP SWAP

35. Swap or Not? DON’T SWAP SWAP

36. Swap or Not? DON’T SWAP SWAP

37. Swap or Not? DON’T SWAP SWAP

38. THE SYSTEM

40. 81 people

41. 7776 people

43. Pyramid SellingCompulsory Investigation Lindi’s Women’s Networking Scheme You invest £3,000 with the promise of £24,000 in return! How does this scheme work? What is the problem with this scheme? Why is it illegal?

44. Video Conference #4Be Prepared!(Thursday March 25th) • Follow-up work Presentations • Mathionaire (part 2: £1,000 - £32,000) Remember to look at the compulsory investigation question on the website as one question will be based on it.