Frank is playing a game in which he 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: Frank spins the spinner once. He 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. He loses $8.75 if the spinner stops on 5 or 6. (a) Find the expected value of playing the game. 0 dollars (b) What can Frank expect in the long run, after playing the game many times? O Frank can expect to gain money. He can expect to win dollars per spin. O Frank can expect to lose money. He can expect to lose. dollars per spin.

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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Frank is playing a game in which he 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: Frank spins the spinner once. He 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. He loses $8.75 if the spinner stops on 5 or 6.
S
(a) Find the expected value of playing the game.
dollars
(b) What can Frank expect in the long run, after playing the game many times?
O Frank can expect to gain money.
He can expect to win dollars per spin.
O Frank can expect to lose money.
He can expect to lose dollars per spin.
O Frank can expect to break even (neither gain nor lose money).
C
C
E
C
Transcribed Image Text:Frank is playing a game in which he 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: Frank spins the spinner once. He 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. He loses $8.75 if the spinner stops on 5 or 6. S (a) Find the expected value of playing the game. dollars (b) What can Frank expect in the long run, after playing the game many times? O Frank can expect to gain money. He can expect to win dollars per spin. O Frank can expect to lose money. He can expect to lose dollars per spin. O Frank can expect to break even (neither gain nor lose money). C C E C
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