## statistics and applied probability

### national university of singapore

Saw this today. Now I know where we can get guinea pigs for our next study…

We know the doubling-strategy in any martingale-game produces sure profits – if only one had unlimited resources at hand. It seems there are other ways – although I don’t quite understand the exact procedure. Here’s an article from StraitsTimes (shortened) with the details:

“THREE foreigners were charged on Monday with cheating the Resorts World Sentosa of \$13,400. […] [They] are said to have placed \$3,600 worth of chips on a winning bet in a game of roulette after the result had been declared at the casino, to deceive the dealer into believing that they had won \$7,200. […] [One of the foreigners] is also accused of trying to cheat a dealer into giving him chips valued at \$15,700 […] by placing chips worth \$400 and \$100 on a winning number and between number 19 and 22 respectively after the result had been declared. […]”

(http://www.straitstimes.com/BreakingNews/Singapore/Story/STIStory_510731.html)

Important to notice: this strategy is not a previsible process – no wonder it works! (the proof of that is left to the reader).

Some classical counter-intuitive examples from probability theory, presented by Peter Donnelly from Oxford University.

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