Probability: More Terminologies
More jargons
- Union, Intersection, Complement
- Complementary Event:
- Two mutually exclusive events that are all inclusive.
- (E’)’ = E
- P(E’) = 1 - P(E)
- Equally Likely Event
- Events which have the same chance of occurring
- Independent Event:
- Events in which the occurrence of one event does not change the probability of the occurrence of the other. One does not affect the other.
\[ \large P(E_1 \cap E_2)' = P(E_1)P(E_2) \]
- Mutually Exclusive Event:
- Events that can not happen at the same time. Disjoint events.
\[ \large E_1 \cap E_2 = \Phi \]
\[ \large P(E_1 \cup E_2)' = P(E_1) + P(E_2) \]
- Not Mutually Exclusive Event
\[ \large P(E_1 \cup E_2)' = P(E_1) + P(E_2) - P(E_1 \cap E_2) \]
- Conditional Probability
\[ \large P(E_1 | E_2)' = P(E_1 \cap E_2) / P(E_2) for P(E_2) \ne 0 \]