Suppose that you are offered the following “deal”. You roll a die. If you roll a 1, you win $15. If you roll a 2, 3, or 4 you win $10. If you roll a 5, or 6, you pay $20. A. Complete the PDF Table. List the x values from largest to smallest.   x P(x)                             [ Select ]                          ["1", "3", "15"]                                        [ Select ]                          ["1", "0.5", "0.17"]                                        [ Select ]                          ["3", "2", "10", "4"]                                        [ Select ]                          ["1", "0.17", "0.5"]                                        [ Select ]                          ["6", "5", "20", "-20"]                                        [ Select ]                          ["0.5", "2", "0.17", "0.33"]

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Suppose that you are offered the following “deal”. You roll a die. If you roll a 1, you win $15. If you roll a 2, 3, or 4 you win $10. If you roll a 5, or 6, you pay $20.

A. Complete the PDF Table. List the x values from largest to smallest.

 

x P(x)
                            [ Select ]                          ["1", "3", "15"]                                        [ Select ]                          ["1", "0.5", "0.17"]           
                            [ Select ]                          ["3", "2", "10", "4"]                                        [ Select ]                          ["1", "0.17", "0.5"]           
                            [ Select ]                          ["6", "5", "20", "-20"]                                        [ Select ]                          ["0.5", "2", "0.17", "0.33"]           

 

B. Find the expected value.                             [ Select ]                          ["1.34", "1.07", "-0.19", "0.95"]           

C. Interpret the expected value.                             [ Select ]                          ["You will win this much if you play a game.", "This is the most likely amount of money you will win.", "If you play many games you will likely win on average very close to this amount."]           

D. Based on the expected value, should you play this game?                             [ Select ]                          ["Yes. The expected value is positive. If you play many games you are very likely to end up winning more money than you lose.", "No, the amount you lose is $20 which is more than any amount that you can win.", "No, this is a gambling game and it is always a bad idea to gamble."]           

 

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