Table of Contents

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.