(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 First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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