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Liam, Matthew, and Dean are going to play video games this afternoon. Together, they have 3636 video games. If they decide to randomly choose three

Liam, Matthew, and Dean are going to play video games this afternoon. Together, they have 3636 video games. If they decide to randomly choose three video games, what is the probability that the three they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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