Research Development Manager Interview Questions

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On the second call, I was asked this. You roll a 100-side dice and get paid the number it shows. However, you can roll again for the price of 1 pound (you get paid once only on the last roll). What is your strategy to maximize profit?
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Quant Research Intern

Interviewed at Jane Street

4.4
Jan 9, 2021

On the second call, I was asked this. You roll a 100-side dice and get paid the number it shows. However, you can roll again for the price of 1 pound (you get paid once only on the last roll). What is your strategy to maximize profit?

1. 2 players, 30 sided die. A choose the number first and B then choose a different number. The one who choose the number which is closer to the number the die rolls wins the amount (the die rolls) of money. For example, A choose 9, B choose 10, if die rolls 7 then B pay A 7 dollars. Would you like to be A or B? What number would you choose? What is your expected return? Does your strategy depend on you opponent?
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Quantitative Researcher

Interviewed at Jane Street

4.4
Dec 21, 2016

1. 2 players, 30 sided die. A choose the number first and B then choose a different number. The one who choose the number which is closer to the number the die rolls wins the amount (the die rolls) of money. For example, A choose 9, B choose 10, if die rolls 7 then B pay A 7 dollars. Would you like to be A or B? What number would you choose? What is your expected return? Does your strategy depend on you opponent?

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