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?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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?
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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