I've been reading up on the notion of lottery propositions. It seems like there are two notions of knowledge one can subscribe to in relation to probability: either you're skeptical and think you only know stuff that has probability 1, or you think you can know stuff that has a sufficiently high probability that is less than 1. In the first view, you obviously can't know you'll lose the lottery. But apparently, there is a widespread intuition that even taking the second view - that you can know stuff that isn't 100% certain - you can't know you will lose the lottery, no matter how large the lottery is.
I honestly don't understand this intuition at all - when using the word "knowledge" in a way that allows for knowing things that have a probability less than 1, I think I simply know that I'll lose the lottery. I've been trying to read Hawthorne's Knowledge and Lotteries, and in the first chapter, he has a list of normal propositions and lottery propositions that he mentions in passing, and he acts like the difference between them is intuitively really obvious. I honestly just don't see it, I don't know what the fuss about lottery propositions is, and I can't even tell what the hell they are - they just seem like regular old low probability propositions to me.
I know that intuition is a personal thing and there may not be a way to convey one's intuition to someone that doesn't have it, but can anyone shed light on the topic of lottery propositions? This whole lottery proposition thing has me completely mystified.