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All of the possible sequences of four consecutive positive integers less than 200 are created. One of these sequences is called orderly if the smallest

All of the possible sequences of four consecutive positive integers less than 200 are created. One of these sequences is called orderly if the smallest member is divisible by 2, the next smallest member is divisible by 3, the next smallest is divisible by 4, and the largest is divisible by 5. What is the probability that a randomly-selected sequence is orderly? Express your answer as a common fraction.

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