Carmen has a deck of 10 cards numbered 1 through 10. She is playing a game of chance. This game is this: Carmen chooses one card from the deck at random. She wins an amount of money equal to the value of the card if an odd numbered card is drawn. She loses $4.20 if an even numbered card is drawn. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Carmen expect in the long run, after playing the game many times? (She replaces the card in the deck each time.) O Carmen can expect to gain money. She can expect to win dollars per draw. O Carmen can expect to lose money. She can expect to lose | dollars per draw. O Carmen can expect to break even (neither gain nor lose money).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Carmen has a deck of 10 cards numbered 1 through 10. She is playing a game of chance.
This game is this: Carmen chooses one card from the deck at random. She wins an amount of money equal to the value of the card if an odd numbered card is
drawn. She loses $4.20 if an even numbered card is drawn.
(If necessary, consult a list of formulas.)
(a) Find the expected value of playing the game.
I| dollars
(b) What can Carmen expect in the long run, after playing the game many times?
(She replaces the card in the deck each time.)
O Carmen can expect to gain money.
She can expect to win dollars per draw.
O Carmen can expect to lose money.
She can expect to lose | dollars per draw.
O Carmen can expect to break even (neither gain nor lose money).
Transcribed Image Text:Carmen has a deck of 10 cards numbered 1 through 10. She is playing a game of chance. This game is this: Carmen chooses one card from the deck at random. She wins an amount of money equal to the value of the card if an odd numbered card is drawn. She loses $4.20 if an even numbered card is drawn. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. I| dollars (b) What can Carmen expect in the long run, after playing the game many times? (She replaces the card in the deck each time.) O Carmen can expect to gain money. She can expect to win dollars per draw. O Carmen can expect to lose money. She can expect to lose | dollars per draw. O Carmen can expect to break even (neither gain nor lose money).
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