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a) What is the player's expected number of points for this game? Show work. b) Change the amount of points you receive for a sum of 7 to make the game fair (break even). Show how this change makes the game fair.

a) What is the player's expected number of points for this game? Show work. b) Change the amount of points you receive for a sum of 7 to make the game fair (break even). Show how this change makes the game fair.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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5. A game consists of randomly rolling two six-sided dice. If the sum of the dice is an even number you lose E points. If the sum is odd you gain 1 point unless it is a sum of 7 then you receive 2 points. a) What is the player's expected number of points for this game? Show work. b) Change the amount of points you receive for a sum of 7 to make the game fair (break even). Show how this change makes the game fair.
Transcribed Image Text:5. A game consists of randomly rolling two six-sided dice. If the sum of the dice is an even number you lose E points. If the sum is odd you gain 1 point unless it is a sum of 7 then you receive 2 points. a) What is the player's expected number of points for this game? Show work. b) Change the amount of points you receive for a sum of 7 to make the game fair (break even). Show how this change makes the game fair.
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