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3.11: Formula Review

Last updated

Mar 17, 2025
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- 3.10: Chapter Review
- 3.12: Practice

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3.2 Terminology.

$A$ and $B$ are events

$P(S)=1$ where $S$ is the sample space

$\begin{array}{l} 0 \leq P(A) \leq 1 \\ P(A \mid B)=\frac{P(A \cap B)}{P(B)} \end{array} \notag$

3.3 Independent and Mutually Exclusive Events

If $A$ and $B$ are independent, $P(A \cap B)=P(A) P(B), P(A \mid B)=P(A)$ and $P(B \mid A)=P(B)$ .

If $A$ and $B$ are mutually exclusive, $P(A \cup B)=P(A)+P(B)$ and $P(A \cap B)=0$ .

3.4 Two Basic Rules of Probability.

The multiplication rule: $P(A \cap B)=P(A \mid B) P(B)$

The addition rule: $P(A \cup B)=P(A)+P(B)-P(A \cap B)$

3.2 Terminology.

3.3 Independent and Mutually Exclusive Events

3.4 Two Basic Rules of Probability.

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