MISSING VALUE Interview Questions

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I got a few C++ questions, then a question on sorting algorithms then a brainteaser. The brainteaser went as follows: Three people are given hats. Each hat is either red or blue, chosen at random. Each person can see the other 2 hats, but not their own. They each must simultaneously either guess their own hat's color, or pass. No communication is allowed, although they can agree on a strategy ahead of time. What strategy will give them the best chances of at least one person guessing right, and nobody guessing wrong?
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High Frequency Developer

Interviewed at Tower Research Capital

4.1
Nov 29, 2011

I got a few C++ questions, then a question on sorting algorithms then a brainteaser. The brainteaser went as follows: Three people are given hats. Each hat is either red or blue, chosen at random. Each person can see the other 2 hats, but not their own. They each must simultaneously either guess their own hat's color, or pass. No communication is allowed, although they can agree on a strategy ahead of time. What strategy will give them the best chances of at least one person guessing right, and nobody guessing wrong?

We are racing, and can at any time signal to the other that we would like to double our bet. We've put down 100 to start and during the race I signal to you I want to double the bet, What is the minimum probability of winning for you to accept to continue?
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Intern

Interviewed at Susquehanna International Group

3.8
Mar 20, 2013

We are racing, and can at any time signal to the other that we would like to double our bet. We've put down 100 to start and during the race I signal to you I want to double the bet, What is the minimum probability of winning for you to accept to continue?

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