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# Discrete Probability

How often will a die come up "4"? How likely is it to rain tomorrow? Probability is one of the most powerful frameworks for modeling the world around us.

Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat. What is the probability the last passenger ends up in his/her assigned seat, as a decimal?

If \(\alpha\) and \(\beta\) are coprime positive integers \(\alpha\) and \(\beta\), find \(\alpha + \beta\).

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