| Front | What is the measure-theoretic view of conditional probability? |
| Back | The conditional probability is another probability measure on the same sigma-field. |
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| Front | What is a semi-algebra? |
| Back | A semi-algebra is a collection of sets such that\(S,T \in S \implies S \cap T \in S\)and if \(S \in S\) then \(S^c\) is the finite disjoint union of sets of \(S\) but NOT in \(S \) itself |
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| Front | What is a proof of the first Borel-Cantelli lemma? |
| Back | \(P(\cap^\infty \cup^\infty_n A_i) \leq P(\cup_n A_i) \leq \sum_n P(A_i) \) Take the limit as \(n \rightarrow \infty \) |
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