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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.
Not really. Allowing incorrect solutions to pass is always an issue while not allowing some correct solutions pass some of the time is less of an issue. Since the "incorrect solutions" we're talking about here is almost always "generating simple sequences", they absolutely cannot be tolerated.
Yes, but given its probabilistic nature it's difficult to do anything about it (unless better statistical methods are available) while also making sure people can't just generate easy random-looking numbers.