Major Review: Machine Learning Fundamentals - Probability Theory - Bayes Theorem
Moved from Minor Review
Major reviewer should verify following aspects from minor review:
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In this notebook A and B denote sets of specific events. For example A is "Number of cases where chocolate addiction is present". Therefore p(A) is only a single probability value. When I'm reading p(A), I would usually think of A (Addicted) as a random variable that can take on several values like A=positive or A=negative. A would be a probability table.
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The same comes to mind in the Cookie Problem example. There is no clear distinction between a random variable ("Cookie" or "Bowl") and a certain value (e.g. "Vanilla" or "1") this variable can take.
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I don't even know if my concerns are valid here, because you are using a set notation and capital A is perfectly fine to describe a set. Also the notation is consistent throughout the notebook. I'm just concerned about later examples, like in my Cookie Problem Exercise notebook, where something like P(A) describes a probability table and P(A=positive) or P(A=negative) the possible values (subtables), which might be confusing.