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Nice write-up by Eric Snyder on this one.

I started with statistical simulations to find out what the answers should be. Here's what I got after 2e9 first passes with 1, 2, 3, and 4 dice:

https://i.servimg.com/u/f89/19/74/46/40/oligo10.jpg

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Thought I'd try it with FOUR dice. Here's what I got:

https://i.servimg.com/u/f89/19/74/46/40/oligo410.jpg

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