You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $⁢9 for heads and $⁢21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $⁢5 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 49PPS
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You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $⁢9 for heads and $⁢21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $⁢5 times the number that appears on the die.

Determine the expected value of each game and decide which offer you should take.

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