How is EMV calculated for these steps. What is the probability and impact in these questions. 1) Should you play at all? (5%) If you play, what is your expected (net) monetary value? (15%) 2) If you play and don't win at all on the first try (but don't lose money), should you try again? (5%) Why? (10%) 3) Clearly show the decision tree (40%) and expected net monetary value at each node (25%) If you send in your entry before midnight tonight, then here are your chances: 0.1% that you win $1,000,000 75% that you win nothing Otherwise, you must PAY $1,000 But wait, there's more! If you don't win the million AND you don't have to pay on your first attempt, then you can choose to play one more time. If you choose to play again, then here are your chances: 2% that you win $100,000 20% that you win $500 Otherwise, you must PAY $2,000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 2P
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How is EMV calculated for these steps. What is the probability and impact in these questions.

1) Should you play at all? (5%) If you play, what is your expected (net) monetary value? (15%)
2) If you play and don't win at all on the first try (but don't lose money), should you try again? (5%) Why? (10%)
3) Clearly show the decision tree (40%) and expected net monetary value at each node (25%)

If you send in your entry before midnight tonight, then here are your chances:
0.1% that you win $1,000,000
75% that you win nothing
Otherwise, you must PAY $1,000

But wait, there's more! If you don't win the million AND you don't have to pay on your first attempt,
then you can choose to play one more time. If you choose to play again, then here are your chances:
2% that you win $100,000
20% that you win $500
Otherwise, you must PAY $2,000

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