Consider the following game. You will roll a fair, 6-sided die either once or twice. You decide whether to do the second roll after you see how the first one lands. The payoff is $n, where n is the outcome of the last roll. For example, if the first roll lands 4 and the second lands 2, you win $2. If you only do one roll and it lands 4, you win $4. Suppose you make your decision about whether to go for a second roll based on expected monetary value. Then you will go for a second roll if (and only if) the first roll lands x or lower. What is x?
Consider the following game. You will roll a fair, 6-sided die either once or twice. You decide whether to do the second roll after you see how the first one lands. The payoff is $n, where n is the outcome of the last roll. For example, if the first roll lands 4 and the second lands 2, you win $2. If you only do one roll and it lands 4, you win $4. Suppose you make your decision about whether to go for a second roll based on expected monetary value. Then you will go for a second roll if (and only if) the first roll lands x or lower. What is x?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Consider the following game. You will roll a fair, 6-sided die either once or
twice. You decide whether to do the second roll after you see how the first
one lands.
The payoff is $n, where n is the outcome of the last roll. For example, if the
first roll lands 4 and the second lands 2, you win $2. If you only do one roll
and it lands 4, you win $4.
Suppose you make your decision about whether to go for a second roll
based on expected monetary value. Then you will go for a second roll if (and
only if) the first roll lands x or lower. What is x?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff281348f-ede8-4eb3-bca8-26fc39a8b83e%2Fb5d2534b-3f60-4e3f-895f-900e8970007f%2F1giot0n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following game. You will roll a fair, 6-sided die either once or
twice. You decide whether to do the second roll after you see how the first
one lands.
The payoff is $n, where n is the outcome of the last roll. For example, if the
first roll lands 4 and the second lands 2, you win $2. If you only do one roll
and it lands 4, you win $4.
Suppose you make your decision about whether to go for a second roll
based on expected monetary value. Then you will go for a second roll if (and
only if) the first roll lands x or lower. What is x?
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