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Cars, Goats, and Sample Spaces

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The Pleasures of Probability

Part of the book series: Undergraduate Texts in Mathematics ((READINMATH))

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Abstract

It’s a critical moment for you. The master of ceremonies confronts you with three closed doors, one of which hides the car of your dreams, new and shiny and desirable. Behind each of the other two doors, however, is standing a pleasant but not so shiny and somewhat smelly goat. You will choose a door and win whatever is behind it. You decide on a door and announce your choice, whereupon the host opens one of the other two doors and reveals a goat. He then asks you if you would like to switch your choice to the unopened door that you did not at first choose. Is it to your advantage to switch (assuming, of course, that you are after the car, not the goat)?

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© 1995 Springer Science+Business Media New York

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Isaac, R. (1995). Cars, Goats, and Sample Spaces. In: The Pleasures of Probability. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0819-8_1

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  • DOI: https://doi.org/10.1007/978-1-4612-0819-8_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6912-0

  • Online ISBN: 978-1-4612-0819-8

  • eBook Packages: Springer Book Archive

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