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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
I agree, but with the second ruleset (as far as I can tell) [0] is actually not 1, it is greater than 1. After running 100k simulations, we're getting that you get land on that space ~1.145... times. I'll check my math again tomorrow to see what that calculation actually would be, but my instinct is that you're mostly right. I don't usually do probability stuff, so thanks for the advice!
This also isn't something I wrote, so I'm not 100% sure what the goal is. Add a fork and try it for yourself if you like!