Black Swans


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Actually I understand the concept about the sum and product mentioned both by bishop and brilliant. I've studied them both in first year statistical and probability theory. I just mentioned them since they point to different concept even though both sources use the same name. So I guess my point is the term of sum and product rule of probability in Bishop's are not standard as I don't find them in other sources.

My question is :

Why is the format of the sum and product rule of probability (1.10 and 1.11) in Bishop book different than in other resources such as and ?