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 spin a spinner with two outcomes, blue and red, on it. She will give you $⁢10 if the spinner lands on blue and $⁢20 if the spinner lands on red. Your mother wants you to spin a spinner with six outcomes, numbered 1 through 6, on it. She will give you $3 ⁢three times the number that the spinner lands on. Determine the expected value of each game and decide which offer you should take. The expected value for your sister's game: $$ Anticipated value for your mother's game: $$ Which offer should you take? Your sister's offer or your mother's offer?

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 spin a spinner with two outcomes, blue and red, on it. She will give you $⁢10 if the spinner lands on blue and $⁢20 if the spinner lands on red. Your mother wants you to spin a spinner with six outcomes, numbered 1 through 6, on it. She will give you $3 ⁢three times the number that the spinner lands on. Determine the expected value of each game and decide which offer you should take. The expected value for your sister's game: $$ Anticipated value for your mother's game: $$ Which offer should you take? Your sister's offer or your mother's offer?

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 roll a six-sided die. She will give you $⁢4 times the number that appears on the die. Your mother says she wants you to spin a spinner with two outcomes, blue and red, on it. She will give you $⁢5 if the spinner lands on blue and $⁢15 if the spinner lands on red. Determine the expected value of each game and decide which offer you should take. The expected value for your sister's game: $$ The expected value for your mother's game: $$ Which offer should you take?
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