Adapted from Heard on the street You are offered two games: in the first game, you roll a die once and you are paid 1 million dollars times the number you obtain on the upturned face of the die. In the second game, you roll a die one million times and for each roll, you are paid 1 dollar times the number of dots on the upturned face of the die. You are risk averse. Which game do you prefer?
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- **Game 1**: Roll a die once. You earn $1,000,000 times the number on the die. - **Game 2**: Roll a die one million times. For each roll, you earn $1 times the number on the die. Show more…
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'a) You are offered to play the following game: You keep rolling a die until number other than one appears (on the top face of the die). The first time that occurs, you would be paid the same number of dollars as the number of dots on the upturned face of the die. How much would you be willing to pay to play this game? (b) A fair coin is flipped repeatedly. Which of the following is more likely; 5 heads out of 10 flips, or 500 heads out of 1000 flips?'
Aishwarya K.
Should you play this game or take $1000 dollars? Explain. A die is rolled 10 times. For each roll: You win $500 for rolling a 1 or 2 You win $200 for rolling a 3 You lose $300 for rolling a 4, 5, or 6
Sri K.
Let X = the outcome when a fair die is rolled once. Suppose that, before the die is rolled, you are offered a choice: Option #1: a guarantee of 1/4 dollars (whatever the outcome of the roll); Option #2: ℎ(𝑋)=1/𝑋 dollars. Which option would you prefer?
Lucas F.
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