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You have r red balls, w white balls in a bag. If you keep drawing balls out of the bag until the bag now only contains balls of a single color (ie you run out of a color) what is the probability you run out of white balls first? (in terms of r and w).
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Quantitative Researcher

Interviewed at Citadel

4★
Dec 4, 2018

You have r red balls, w white balls in a bag. If you keep drawing balls out of the bag until the bag now only contains balls of a single color (ie you run out of a color) what is the probability you run out of white balls first? (in terms of r and w).

You're throwing a party in 24 hours and have purchased 1,000 bottles of wine. You are informed that one of these 1,000 bottles is tainted with a slow-acting poison that will kill the consumer 24 hours after intake. You have 10 rats that you can use to taste the wine. How many bottles will you be able to ensure are not poisoned by the time the party begins?
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Summer Quantitative Trading Internship

Interviewed at Old Mission

4.2★
Dec 2, 2013

You're throwing a party in 24 hours and have purchased 1,000 bottles of wine. You are informed that one of these 1,000 bottles is tainted with a slow-acting poison that will kill the consumer 24 hours after intake. You have 10 rats that you can use to taste the wine. How many bottles will you be able to ensure are not poisoned by the time the party begins?

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