Basic Probability

• Sample Space: The set of all possible outcomes of an experiment is known as the sample space, denoted by $S$.
• Event: A particular set of outcomes from the sample space, denoted by $A$.

Laws of probabilities:

1. $0\le P(A)\le 1$
2. $P(A\cup B)=P(A)+P(B)-P(A\cap B)$
3. $P(A\cup B\cup C)=P(A)+P(B)+P(C)-P(A\cap B)-P(A\cap C)-P(B\cap C)+P(A\cap B\cap C)$
4. If $A$ and $B$ are exclusive events, i.e., disjoint events, then $P(A\cup B)=P(A)+P(B)$
5. $P(A^C)=1-P(A)$

References

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Basic Probability

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• date: 2025.02.03
• time: 11:20