Transcription
So, usually we'd say, "Well, there's a 50% chance it's going to rain tomorrow." And why do we say that? Why would we say such a thing?
It's because we have incomplete knowledge of the system, in this case, the weather. And so, we have incomplete understanding of where, I suppose at the most basic level, all those water molecules are in the clouds and so on. But we don't have enough knowledge to make to precisely calculate what is going to happen.
And so we assign probabilities to it, which reflects our ignorance of the situation. The key difference in quantum theory is that these probabilities are fundamental.