Jane StreetTraderQuantitative TraderQuestion #100

Q1: What is the smallest number whose digits multiply to 216? What about 10,000? Q2: Calculate the probability of getting 3 heads in 4 coin flips. What is the probability of getting an odd number of heads in 4 flips? What about in 9 flips? In N flips? Q3: What is the next date whose digits are all unique? Q4: After three coin flips, heads-tails-heads and heads-heads-tails are equally probable. But if I keep flipping, one combination becomes more probable than the other. Why is that?

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