The world famous gambler from Philadelphia, Senior Rick, proposes the following game of chance. You roll a fair die. If you roll a 1, then Senior Rick pays you $25. If you roll a 2, Senior Rick pays you $5. If you roll a 3, you win nothing. If you roll a 4 or a 5, you must pay Senior Rick $10, and if you roll a 6, you must pay Senior Rick $15. Is Senior Rick loco for proposing such a game? Explain and use expected values.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 34T
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The world famous gambler from Philadelphia, Senior Rick, proposes the following game of chance. You roll a fair die. If you roll a 1, then Senior Rick pays you $25. If you roll a 2, Senior Rick pays you $5. If you roll a 3, you win nothing. If you roll a 4 or a 5, you must pay Senior Rick $10, and if you roll a 6, you must pay Senior Rick $15. Is Senior Rick loco for proposing such a game? Explain and use expected values.

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