Not being an expert, I was unaware of this and worked through it after reading the article you linked. So you have 1 bit for the min-entropy and about 11 bits

Not being an expert, I was unaware of this and worked through it after reading the article you linked. So you have 1 bit for the min-entropy and about 11 bits for the Shannon entropy. The Shannon-entropy pretty much hides the elephant in the room, which is the enormous bias of rolling a 1. So basically in crypto you use the min-entropy because that reflects the most vulnerable scenario in a system which is what you prioritize protecting against, rather than protecting against the average scenario. This was very insightful, thanks for sharing.