Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $15. If you roll a 3, 4 or 5, you win $3. Otherwise, you pay $9. 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 Table P(X) b. Find the expected profit.S (Round to the nearest cent) c. Interpret the expected value. Oif you play many games you will likely win on average very dose to $1.00 per game. O This is the most likely amount of money you will win. O You will win this much if you play a game. d. Based on the expected value, should you play this game? O Yes, because you can win $15.00 which is greater than the $9.00 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. 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 i you played many games.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 $15. If you
roll a 3, 4 or 5, you win $3. Otherwise, you pay $9.
nt
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.
urces
Probability Distribution
Table
College
store
P(X)
b. Find the expected profit. $
(Round to the nearest cent)
c. Interpret the expected value.
O If you play many games you will likely win on average very dose to $1.00 per game.
O This is the most likely amount of money you will win.
O You will win this much if you play a game.
d. Based on the expected value, should you play this game?
O Yes, because you can win $15.00 which is greater than the $9.00 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.
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 search
F2
F4
prt sc
F10
F5
F6
home
end
F7
F8
insert
F11
F12
%23
24
4
7
8
R
G
H
Ss
Transcribed Image Text:Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $15. If you roll a 3, 4 or 5, you win $3. Otherwise, you pay $9. nt 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. urces Probability Distribution Table College store P(X) b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the expected value. O If you play many games you will likely win on average very dose to $1.00 per game. O This is the most likely amount of money you will win. O You will win this much if you play a game. d. Based on the expected value, should you play this game? O Yes, because you can win $15.00 which is greater than the $9.00 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. 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 search F2 F4 prt sc F10 F5 F6 home end F7 F8 insert F11 F12 %23 24 4 7 8 R G H Ss
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