Rolling two fair dice At the Spring Bazaar Charity Fundraiser, you play a game in which you roll two dice. (All proceeds go to the charity.) The game costs $1 to play. If you roll a sum of 2, you win $4. If you roll a sum greater than 2 and at most 4, you win $1. If you roll a sum of 11, you win $0.50. If you roll a sum of 12, you must donate an additional $1 to the charity. If you roll any other sum, the game is over. Complete the table to find the expected value of this game from the point of view of the Spring Bazaar Fundraising committee. Round all dollar values to two decimal places. Event Value Probability Value x Probability sum of 2 $   $ 2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 30E
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Rolling two fair dice

At the Spring Bazaar Charity Fundraiser, you play a game in which you roll two dice. (All proceeds go to the charity.) The game costs $1 to play. If you roll a sum of 2, you win $4. If you roll a sum greater than 2 and at most 4, you win $1. If you roll a sum of 11, you win $0.50. If you roll a sum of 12, you must donate an additional $1 to the charity. If you roll any other sum, the game is over.
Complete the table to find the expected value of this game from the point of view of the Spring Bazaar Fundraising committee. Round all dollar values to two decimal places.

Event Value Probability Value x Probability
sum of 2 $   $
2<sum< 4 $   $
  $   $
  $   $
  $   $

Expected Value = $ ____________ per play

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