I am a contestant on the TV show Remote Jeopardy,which works as follows. I am first asked a question aboutStupid Videos. If I answer correctly, I earn $100. I believethat I have an 80% chance of answering such a questioncorrectly. If I answer incorrectly, the game is over, and I winnothing. If I answer correctly, I may leave with $100 or goon and answer a question about Stupid TV Shows. If Ianswer this question correctly, I earn another $300, but if Ianswer incorrectly, I lose all previous earnings and am senthome. My chance of answering this question correctly is.60. If I answer the Stupid TV Shows question correctly, Imay leave with my “earnings” or go on and answer aquestion about Statistics. If I answer this question correctly,I earn another $500, but if I answer it incorrectly, I lose allprevious earnings and am sent home. My chance ofanswering this question correctly is .40. Draw a decisiontree that can be used to maximize my expected earnings.What are my expected earnings?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 3SE: Answer the following questions. 3. When given two separate events, how do we know whether to apply...
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I am a contestant on the TV show Remote Jeopardy,
which works as follows. I am first asked a question about
Stupid Videos. If I answer correctly, I earn $100. I believe
that I have an 80% chance of answering such a question
correctly. If I answer incorrectly, the game is over, and I win
nothing. If I answer correctly, I may leave with $100 or go
on and answer a question about Stupid TV Shows. If I
answer this question correctly, I earn another $300, but if I
answer incorrectly, I lose all previous earnings and am sent
home. My chance of answering this question correctly is
.60. If I answer the Stupid TV Shows question correctly, Imay leave with my “earnings” or go on and answer a
question about Statistics. If I answer this question correctly,
I earn another $500, but if I answer it incorrectly, I lose all
previous earnings and am sent home. My chance of
answering this question correctly is .40. Draw a decision
tree that can be used to maximize my expected earnings.
What are my expected earnings?

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