Lesson 10.4 Two Events: “AND” Probabilities
Reading
Reading sections are from the Introductory Statistics Textbook
- 3.1.3 Probabilities when events are not disjoint(pages 92-94)
- 3.2.4 General multiplication rule (pages 103-104)
- 3.1.5 Independence (pages 96-98)
- 3.2.6 Checking for independent and mutually exclusive events (pages 106-108)
Lesson
Rearranging the conditional probability equation, we find a way to calculate “AND” probabilities:
\[P(B|A) = \frac{P(A~AND~B)}{P(A)} \qquad\to\qquad P(A~AND~B)=P(A)\cdot P(B|A)\]