please use the chart to answer numbers 5-7

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 72E
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please use the chart to answer numbers 5-7

A carnival game is played as follows: A card is drawn from a standard deck. If the card drawn is a 3 of
diamonds, the player wins $23. If the card drawn is a Red Ace, the player wins $8. If the card drawn is Black,
the player loses $2. If none of these occur, the card is put back in the deck and the game is played again. The
cards are shuffled prior to cach play, and each play is from a complete 52-card deck. The rules of the game are
clearly posted at the booth, and you can read them prior to playing.
3 of
Diamonds
Black
None of
Event
Red Ace
Card
these
Value of
Event
P(event)
5. Recall that Expectation is given by: E(x)=e,P(e,) +e,P(e,)+e,P(e,)+. where e, is the value of
event I and P(e) is the probability of event 1. Determine the expected value of this game.
a. 25
b. 70
e. 0
d. 70
e. 25
6. What does the result in #5 mean?
a. It displays the chance that you will win (or lose) the game.
b. It displays the probability that the vendor will win (or lose) the game.
c. It displays the likelihood you will win (or lose) the game, on average, over time.
d. It displays the amount of money you will win (or lose) per game, on average, over time.
e. It is a random, made-up number that means nothing.
7. Should you play this game?
a. No, you will lose money, on average, each time you play.
b. Yes, you will win money, on average, each time you play.
c. It doesn't really matter; you will win as much as you lose in the long run.
d. It depends on how the game is played.
e. No, because the vendor is cheating.
Transcribed Image Text:A carnival game is played as follows: A card is drawn from a standard deck. If the card drawn is a 3 of diamonds, the player wins $23. If the card drawn is a Red Ace, the player wins $8. If the card drawn is Black, the player loses $2. If none of these occur, the card is put back in the deck and the game is played again. The cards are shuffled prior to cach play, and each play is from a complete 52-card deck. The rules of the game are clearly posted at the booth, and you can read them prior to playing. 3 of Diamonds Black None of Event Red Ace Card these Value of Event P(event) 5. Recall that Expectation is given by: E(x)=e,P(e,) +e,P(e,)+e,P(e,)+. where e, is the value of event I and P(e) is the probability of event 1. Determine the expected value of this game. a. 25 b. 70 e. 0 d. 70 e. 25 6. What does the result in #5 mean? a. It displays the chance that you will win (or lose) the game. b. It displays the probability that the vendor will win (or lose) the game. c. It displays the likelihood you will win (or lose) the game, on average, over time. d. It displays the amount of money you will win (or lose) per game, on average, over time. e. It is a random, made-up number that means nothing. 7. Should you play this game? a. No, you will lose money, on average, each time you play. b. Yes, you will win money, on average, each time you play. c. It doesn't really matter; you will win as much as you lose in the long run. d. It depends on how the game is played. e. No, because the vendor is cheating.
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