Consider a bubble sort algorithm dealing with 1~100. What is the probability that after the first round of bubble, the 10th element is in the 20th address?
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Consider a random permutations of numbers 1,...,31415. Let A be the number of it's fixed points. Let B be the number of non-fixed points. What is the variance of B-A?
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52 cards, the probability of drawing 5 cards consisting of 2 pairs
Let n points be on the circle. The probability that the given n-gon includes the center of the circle.
Let A, B be two covariance matices. Is A+B also a covariance matrix? How about A^2? AB?
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