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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section: Chapter Questions
Problem 62PRT
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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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