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Given two arrays (or sequences) of size n. What is the probability that they are in the same relative order?

Ex: s = [5, 10, 18, 3, 7] and t = [6, 9, 20, 1, 7] are in the same relative order.

Note: The elements of the sequence are drawn from a set with a total order defined, say the natural numbers.

Thanks.

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# Probability question

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