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Imagine, if you're outside a room and there are 3 (three) switches right next to you, each switch corresponds to a bulb placed in the closed room right in-front of you, how would you know without only going inside the room once, that which switch exactly corresponds to which bulb? (You can only go inside once)
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Business Operations Associate

Interviewed at ZS Associates

3.5
Feb 19, 2019

Imagine, if you're outside a room and there are 3 (three) switches right next to you, each switch corresponds to a bulb placed in the closed room right in-front of you, how would you know without only going inside the room once, that which switch exactly corresponds to which bulb? (You can only go inside once)

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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