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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 1 Day Ago |
| Questions Answered: | 66690 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
I am a contestant on the popular TV show “Tired of Fortune.” During the bonus round, I will be asked up to four questions. For each question that is correctly answered, I win a certain amount of money. One incorrect answer, however, means that I lose all the money I have previously won, and the game is over. If I elect to pass, or not answer a question, the game is over, but I may keep what I have already won. The amount of money I win for each correct question and the probability that I will answer each question correctly are shown in Table.
|
|
Probability of Correct |
|
|
Question |
Answer |
Money Won |
|
1 |
.6 |
$10,000 |
|
2 |
.5 |
$20,000 |
|
3 |
.4 |
$30,000 |
|
4 |
.3 |
$40,000 |
a My goal is to maximize the expected amount of money won. Use dynamic programming to accomplish this goal.
b Suppose that I am allowed to pass, or not answer a question, and still go on to the next question. Now determine how to maximize the amount of money won.
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