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Which theorem answers which question?

Exercise and reference answers

Items
  1. Item
    Find P(A) from all its branches
    Category
    Total probability
  2. Item
    Combine causes into one overall chance
    Category
    Total probability
  3. Item
    Work forwards from cause to effect
    Category
    Total probability
  4. Item
    Find P(Eᵢ|A) after A is observed
    Category
    Bayes
  5. Item
    Revise a prior into a posterior
    Category
    Bayes
  6. Item
    Work backwards from effect to cause
    Category
    Bayes
Categories
  1. Item
    Total probability
  2. Item
    Bayes

Explanation

Total probability goes forwards from causes to an effect Bayes runs backwards from the effect to a cause. Source: syllabus Maths Part II, Ch 13 Probability.
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