Probability

Probability – Conditional Probability and Independence

by ComputingNotes
Resource: What is Conditional Probability? Conditional Probability Conditional probability is the likelihood of an event occurring, given that another event has already happened. It allows us to update our understanding of an outcome based on new information or specific “conditions.” The Formula P(A|B) = P(A ∩ B) P(B) • P(A|B): The probability of event A ... Read More

Probability – Distributions

by ComputingNotes
Book Probability by Jim Pitman, Page 19 Events and Sets Set Theory & Venn Diagram Gallery Intersection: \(A \cap B\) A B “A AND B” — Elements in both. Union: \(A \cup B\) A B “A OR B” — Elements in either or both. Complement: \(A^c\) A U “NOT A” — Everything outside A. Subset: ... Read More

Probability – Introduction

by ComputingNotes
Book Probability by Jim Pitman, Springer The main concepts of probability theory include: These three concepts form the fundamental framework of probability theory. They describe the structure of any random process, from a simple coin toss to complex risk modeling. Outcome Space (Sample Space) The outcome space (often denoted by the Greek letter Omega, Ω, ... Read More
error: