A Mathematician Plays The Stock Market by John Allen Paulos

Author:John Allen Paulos
Language: eng
Format: mobi, epub, pdf
ISBN: 9780786722556
Publisher: Basic Books
Published: 2007-10-11T05:00:00+00:00

The answer, of course, is that there is no missing dollar. You can see this more easily if we assume that the manager originally made a bigger mistake, realizing after charging the men $30 that the booth costs only $20 and that he’s overcharged them $10. He gives $10 to the bellhop and directs him to give it back to the three men. Not knowing how to divide the $10 evenly, the bellhop decides to give $3 to each of the three men and pockets the remaining $1 for himself. Later that night the bellhop realizes that the men each paid $7 ($10 minus the $3 they received from him). Thus, since the $21 the men paid (3 × $7 = $21) plus the $1 he took for himself sums to $22, the bellhop wonders what happened to the missing $8. In this case there’s less temptation to think that there’s any reason the sum should be $30.

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