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.

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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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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