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Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $7. If you roll a 4 or 5, you win $4. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution P(X) -81 X Table 6 3 b. Find the expected profit. S c. Interpret the expected value. O You will win this much if you play a game. O If you play many games, on average, you will likely win, or lose if negative, close to this amount. O This is the most likely amount of money you will win. (Round to the nearest cent) d. Based on the expected value, should you play this game? O Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. O No, this is a gambling game and it is always a bad idea to gamble. O No, since the expected value is negative, you would be very likely to come home with less money if you played many games. O Yes, because you can win $7.00 which is greater than the $8.00 that you can lose. OYes, since the expected value is positive, you would be very likely to come home with more money if you played many games.

Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $7. If you roll a 4 or 5, you win $4. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution P(X) -81 X Table 6 3 b. Find the expected profit. S c. Interpret the expected value. O You will win this much if you play a game. O If you play many games, on average, you will likely win, or lose if negative, close to this amount. O This is the most likely amount of money you will win. (Round to the nearest cent) d. Based on the expected value, should you play this game? O Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. O No, this is a gambling game and it is always a bad idea to gamble. O No, since the expected value is negative, you would be very likely to come home with less money if you played many games. O Yes, because you can win $7.00 which is greater than the $8.00 that you can lose. OYes, since the expected value is positive, you would be very likely to come home with more money if you played many games.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $7. If you roll a 4 or 5, you win $4. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution P(X) -81 X Table 6 3 b. Find the expected profit. S c. Interpret the expected value. (Round to the nearest cent) You will win this much if you play a game. O If you play many games, on average, you will likely win, or lose if negative, close to this amount. O This is the most likely amount of money you will win. d. Based on the expected value, should you play this game? Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. No, this is a gambling game and it is always a bad idea to gamble. O No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes, because you can win $7.00 which is greater than the $8.00 that you can lose. O Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games.
Transcribed Image Text:Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $7. If you roll a 4 or 5, you win $4. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution P(X) -81 X Table 6 3 b. Find the expected profit. S c. Interpret the expected value. (Round to the nearest cent) You will win this much if you play a game. O If you play many games, on average, you will likely win, or lose if negative, close to this amount. O This is the most likely amount of money you will win. d. Based on the expected value, should you play this game? Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. No, this is a gambling game and it is always a bad idea to gamble. O No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes, because you can win $7.00 which is greater than the $8.00 that you can lose. O Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games.
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Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $7. If you roll a 4 or 5, you win $4. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. 17 4 -8 Probability Distribution Table X P(X) 0.1667 X X 0.3333 0.5 X b. Find the expected profit. $0.17 x (Round to the nearest cent) c. Interpret the expected value. You will win this much if you play a game. If you play many games, on average, you will likely win, or lose if negative, close to this amount. This is the most likely amount of money you will win. d. Based on the expected value, should you play this game? Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. No, this is a gambling game and it is always a bad idea to gamble. No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes, because you can win $7.00 which is greater than the $8.00 that you can lose. Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. Question Help: Submit Question Jump to Answer Written Example Message instructor
Transcribed Image Text:Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $7. If you roll a 4 or 5, you win $4. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. 17 4 -8 Probability Distribution Table X P(X) 0.1667 X X 0.3333 0.5 X b. Find the expected profit. $0.17 x (Round to the nearest cent) c. Interpret the expected value. You will win this much if you play a game. If you play many games, on average, you will likely win, or lose if negative, close to this amount. This is the most likely amount of money you will win. d. Based on the expected value, should you play this game? Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. No, this is a gambling game and it is always a bad idea to gamble. No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes, because you can win $7.00 which is greater than the $8.00 that you can lose. Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. Question Help: Submit Question Jump to Answer Written Example Message instructor
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