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Now, we compare the number of 6s with the number of 5s, and there aren't enough.

Once we get to a terminal, we're done, we're finished.

And the original equation didn't have those 8's out front.

Let me put the Laplace transform of and I'm also going to the sides.

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What's going on here is that this random permutation combined with the permutation of the prisoner's names in the boxes gives you a permutation of the prisoners, which is a uniformly random permutation.

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And actually, I'm going to do that right now.

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We turn every moment of every day into a race to the finish line a finish line, incidentally, that we never reach, but a finish line nonetheless.

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