Jane Street Interview Question
Q1: What is the smallest number whose digits multiply into 216. What about 10,000? Q2: Calculate the probability of getting 3 heads after 4 coin flips. What is the probability of getting an odd number of heads for 4 flips? What about for 9? What about for N flips? Q3: What is the next date whose digits are all unique? Q4: Getting heads-tails-heads and heads-heads-tails are equiprobable after 3 coin flips. But if I keep flipping a coin, I'm more likely to get one of these combinations than the other. Why is that?
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