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# System prepended metadata

title: 18.600 Sep 7 notes

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# 18.600 Sep 7 notes

Sep 7 2022

## Grading:

+ 25% Psets
+ 40% Quizzes
+ 35% Final Exam

## Adminstrative
+ Email 18.600-staff@mit.edu instead of kelner@mit.edu
+ There are recordings from the COVID year
+ **No recitation this week**
+ Recitations: Optional but *encouraged*
+ Psets (generally) due on Fridays

## Axioms
+ Sample space: $S$, set of possible outcomes
+ Event: $E \subseteq S$ (it's a subset of $S$, NOT an item of $S$)
    + $\epsilon = 2^{S}$
    + $\epsilon$, every possible event (only for finite sets)
+ Probability space,,
    + Function $P$ that maps $\epsilon \rightarrow \mathbb{R}$
    + $0 \leq P(E) \leq 1$
    + $P(S) = 1$
    + For disjoint events, $P(E_1 \cup E_2 \cup E_3 ...) = \sum P(E_i)$
    + We define $P(E)$ as probability you get one of the things within $E$
        + $P(\phi) = 0$