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You have 12 identical balls, one ball is heavier than the rest (you don't know which). Using just a balance which can only show which side is heavier, what is the minimum number of times you can use the weight to find the heavier ball?
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Quantitative Trader

Interviewed at IMC Trading

4.1★
Mar 25, 2022

You have 12 identical balls, one ball is heavier than the rest (you don't know which). Using just a balance which can only show which side is heavier, what is the minimum number of times you can use the weight to find the heavier ball?

There is a weighted coin, P(heads) = 0.6. The coin is flipped 4 times, if it's heads A wins 1$ if it's tails B wins $1, what is the expected value of a bet where if A wins overall, you get his winnings, if B wins overall you get 0.
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Quantitative Researcher

Interviewed at DRW

4.3★
Oct 15, 2019

There is a weighted coin, P(heads) = 0.6. The coin is flipped 4 times, if it's heads A wins 1$ if it's tails B wins $1, what is the expected value of a bet where if A wins overall, you get his winnings, if B wins overall you get 0.

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