Keiko is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random.This game is this: Keiko spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinnerstops on the number 3, and $10 if the spinner stops on the number 4. She loses $12.50 if the spinner stops on 5 or 6.(If necessary, consult a list of formulas.)(a) Find the expected value of playing the game.I| dollars(b) What can Keiko expect in the long run, after playing the game many times?O Keiko can expect to gain money.She can expect to win dollars per spin.O Keiko can expect to lose money.She can expect to lose || dollars per spin.O Keiko can expect to break even (neither gain nor lose money).

Answered: Image /qna-images/answer/5e9dabc1-d04a-4dcf-aa57-5608ff89d50b.jpg

Answered: Keiko is playing a game in which she…

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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Directions: Create two (2) problems illustrating a permutation situation. Be creative in your problem by citing some of your personal interests. Determine the number of outcomes in your created permutation problem.
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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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