Chapter 14 - Randomness to Probability
Tuesday, 22 November 2022 | |
1-minute read | |
130 words | |
Vocabulary
- independent event - an event that is not influenced by another event
- disjoint event - mtually exclusive
- law of large numbers - in probability, more trials matches the experimental probability to the theoretical probability
- union - $\cup$ "or"
- intersection - $\cap$ "and"
- complement - $A^c$ "not"
addition rule - $P(A) + P(B) = P(A \cup B)$ if A and B are mutually exclusive
- otherwise, $P(A) + P(B) - P(A \cap B) = P(A \cup B)$
- multiplication rule - $P(A)P(B) = P(A \cap B)$
Independent Events
If two events A and B are independent, then
\[ P(A | B) = P(A) \]
or "probability of A given B is equal to probability of A"
The probability of A should be the same whether or not the event B will occur.