MD has a new type of scratch-off ticket for $19 to win one of: 11 prizes of $19 9 small prizes of $28 3 large prizes of $500 1 grand prize of $50,000 Once they’ve sold 7,000 tickets, they will select the winning tickets.  What is the expected value?

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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MD has a new type of scratch-off ticket for $19 to win one of:

  • 11 prizes of $19
  • 9 small prizes of $28
  • 3 large prizes of $500
  • 1 grand prize of $50,000

Once they’ve sold 7,000 tickets, they will select the winning tickets. 

What is the expected value

Expert Solution
Step 1

Given:
MD has spent =$19 (scratch-off ticket)

He can win one of the below

11 prizes of $19

9 small prizes of $28

3 large prizes of $500

1 grand prize of $50,000

=> number of tickets sold is =7000

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