Five hundred chances are sold at $7 apiece for a raffle. There is a grand prize of $650, two second prizes of $300, and five third prizes of $75. First calculate the expected value of the lottery. Determine whether the lottery is a fair game. If the game is not fair, determine a price for playing the game that would make it fair. The expected value of the game is $ (Type an integer or a decimal. Round to the nearest cent.)

A First Course in Probability (10th Edition)
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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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**Raffle Lottery Analysis**

Five hundred chances are sold at $7 apiece for a raffle. There is a grand prize of $650, two second prizes of $300, and five third prizes of $75. 

1. **Task:** First, calculate the expected value of the lottery.
   
   Determine whether the lottery is a fair game. If the game is not fair, determine a price for playing the game that would make it fair.
   
2. **Expected Value:**  
   
   The expected value of the game is $ ___.  
   *(Type an integer or a decimal. Round to the nearest cent.)*

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**Instructions:**

Enter your answer in the answer box and then click "Check Answer."

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Transcribed Image Text:**Raffle Lottery Analysis** Five hundred chances are sold at $7 apiece for a raffle. There is a grand prize of $650, two second prizes of $300, and five third prizes of $75. 1. **Task:** First, calculate the expected value of the lottery. Determine whether the lottery is a fair game. If the game is not fair, determine a price for playing the game that would make it fair. 2. **Expected Value:** The expected value of the game is $ ___. *(Type an integer or a decimal. Round to the nearest cent.)* --- **Instructions:** Enter your answer in the answer box and then click "Check Answer." **Progress Indicator:** 1 part remaining
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