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you have 1000 bottles of wine for your party. some terrible person poisoned one of the bottles. you have a bunch of slaves that you can test your bottles on. you care about your slaves, so you want to ensure that the fewest number die, but you also want to guarantee that you find that bottle of wine. the poison is fast acting and will kill them within an hour, but you only have a little over an hour before your guests arrive. slaves can taste test as many bottles of wine as they'd like. what's your strategy for finding the bottle by using the fewest number of slaves?
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Assistant Trader

Interviewed at Susquehanna International Group

3.8★
Jul 17, 2015

you have 1000 bottles of wine for your party. some terrible person poisoned one of the bottles. you have a bunch of slaves that you can test your bottles on. you care about your slaves, so you want to ensure that the fewest number die, but you also want to guarantee that you find that bottle of wine. the poison is fast acting and will kill them within an hour, but you only have a little over an hour before your guests arrive. slaves can taste test as many bottles of wine as they'd like. what's your strategy for finding the bottle by using the fewest number of slaves?

You can hold a party only if there is no rain on either saturday or sunday. The probability of rain on a saturday is 80% and 60% for sunday. What is the probablity you can hold a party at the weekend? Given that you held a party, what is the probability that that it rained at the weekend?
avatar

Assistant Trader

Interviewed at Susquehanna International Group

3.8★
Mar 29, 2011

You can hold a party only if there is no rain on either saturday or sunday. The probability of rain on a saturday is 80% and 60% for sunday. What is the probablity you can hold a party at the weekend? Given that you held a party, what is the probability that that it rained at the weekend?

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