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2. In an urn you have red and blue balls (same number of balls in each of the two colors). You extract 3 balls what is the probability that the number of balls you have extracted is odd. Now you extract 10 balls, what is the probability that the number of balls you have extracted is odd?
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Quantitative Analyst

Interviewed at Jane Street

4.4
Feb 1, 2011

2. In an urn you have red and blue balls (same number of balls in each of the two colors). You extract 3 balls what is the probability that the number of balls you have extracted is odd. Now you extract 10 balls, what is the probability that the number of balls you have extracted is odd?

2nd Round: You have a deck of cards, 26 red, 26 black. These are turned over, and at any point you may stop and exclaim "The next card is red.". If the next card is red you win £10. What's the optimal strategy? Prove this is the optimal strategy.
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Assista

Interviewed at Jane Street

4.4
May 14, 2012

2nd Round: You have a deck of cards, 26 red, 26 black. These are turned over, and at any point you may stop and exclaim "The next card is red.". If the next card is red you win £10. What's the optimal strategy? Prove this is the optimal strategy.

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