Transitive coins. Three coins each show heads with probability and tails otherwise. The first counts 10 points for a head and 2 for a tail, the second counts 4 points for both head and tail, and the third counts 3 points for a head and 20 for a tail. You and your opponent each choose a coin; you cannot choose the same coin. Each of you tosses your coin and the person with the larger score wins £10¹0. Would you prefer to be the first to pick a coin or the second?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transitive coins. Three coins each show heads with probability and tails otherwise. The first
counts 10 points for a head and 2 for a tail, the second counts 4 points for both head and tail, and the
third counts 3 points for a head and 20 for a tail.
You and your opponent each choose a coin; you cannot choose the same coin. Each of you tosses
your coin and the person with the larger score wins £10¹0. Would you prefer to be the first to pick a
coin or the second?
Transcribed Image Text:Transitive coins. Three coins each show heads with probability and tails otherwise. The first counts 10 points for a head and 2 for a tail, the second counts 4 points for both head and tail, and the third counts 3 points for a head and 20 for a tail. You and your opponent each choose a coin; you cannot choose the same coin. Each of you tosses your coin and the person with the larger score wins £10¹0. Would you prefer to be the first to pick a coin or the second?
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