CONGRATULATION TO THOSE FROM MATHSOC WHO ARE INVITED TO PARTICIPATE IN SMO SPECIAL ROUND :D
When this game is allowed to run forever, how will the money be distributed? We are allowed put a label on all the coins, numbering them 1,2,3,4, etc.
The wizard gives the mermaid coin number 1 and 2, she returns number 1. He gives her number 3 and 4, she returns number 2. He gives her number 5 and 6, she returns number 3. And so forth.
Conclusion: eventually each coin returns to the wizard, so he will have everything back again and she has nothing.
The wizard gives the mermaid coin number 1 and 2, she returns number 2, keeping number 1. He gives her number 2 again together with 3, she returns number 3, keeping number 2. He throws number 3 and 4 in the pond, she gives him number 4 back, keeping number 3. And so forth.
Conclusion: at the end she will keep all the coins, and the wizard has nothing.
The wizard gives the mermaid coin number 1 and 2, she returns number 2, keeping number 1. Next time, however, the wizard throws coin number 3 and 4 in the pond, the mermaid keeping number 3, returning number 4. And so forth.
Conclusion: at the end she will have all the odd numbered coins and the wizard all the even numbered, so both are equally rich.
by Tetyana Butler
A new addition to the Da Vinci – The Genius exhibition is the Secrets of Mona Lisa display. French scientific engineer and photographer of fine art, Pascal Cotte was granted unprecedented access by the French Government and The Louvre Museum to conduct an extensive scientific evaluation of this masterpiece. He did so under strict security and supervision, taking her out of her frame and away from the protective glass enclosure. His photographic examination and findings have startled the art world – making 25 revelations including identifying her original pigment colours, proving she indeed did have eyebrows and eyelashes and producing the world’s only 360 ° walk around replica.
More information can be found here
