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(a) Find the expected value of playing the game. O pesos (b) What can Diana expect in the long run, after playing the game many times? Diana can expect to gain money. She can expect to win I pesos per spin. Diana can expect to lose money. She can expect to lose I pesos per spin. Diana can expect to break even (neither gain nor lose money).

(a) Find the expected value of playing the game. O pesos (b) What can Diana expect in the long run, after playing the game many times? Diana can expect to gain money. She can expect to win I pesos per spin. Diana can expect to lose money. She can expect to lose I pesos per spin. Diana can expect to break even (neither gain nor lose money).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 36EQ
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Diana 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: Diana 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 spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $8.75 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. O pesos (b) What can Diana expect in the long run, after playing the game many times? O Diana can expect to gain money. She can expect to win pesos per spin. O Diana can expect to lose money. She can expect to lose pesos per spin. O Diana can expect to break even (neither gain nor lose money).
Transcribed Image Text:Diana 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: Diana 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 spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $8.75 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. O pesos (b) What can Diana expect in the long run, after playing the game many times? O Diana can expect to gain money. She can expect to win pesos per spin. O Diana can expect to lose money. She can expect to lose pesos per spin. O Diana can expect to break even (neither gain nor lose money).
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