A casino offers a game in which a player places a $3 bet on a 3 coming up on one roll of a six-sided die. If a 3 is rolled, the player keeps their $3 and is paid $12 by the house. If a number other than 3 is rolled, the house keeps the player's $3. What is the expected value of this game to the player? Write your answer as a positive or negative dollar value rounded to the nearest cent, e.g., -$1.50 or $.75.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A casino offers a game in which a player places a $3 bet on a 3 coming up on one roll of a six-sided die. If a 3 is rolled, the player keeps their $3 and is paid $12 by the house. If a number other than 3 is rolled, the house keeps the player's $3. What is the expected value of this game to the player? Write your answer as a positive or negative dollar value rounded to the nearest cent, e.g., -$1.50 or $.75.

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