Skip to Content
Machine Learning: End-to-End guide for Java developers
book

Machine Learning: End-to-End guide for Java developers

by Richard M. Reese, Jennifer L. Reese, Boštjan Kaluža, Dr. Uday Kamath, Krishna Choppella
October 2017
Intermediate to advanced
1159 pages
26h 10m
English
Packt Publishing
Content preview from Machine Learning: End-to-End guide for Java developers

Appendix B. Probability

Essential concepts in probability are presented here in brief.

Axioms of probability

Kolmogorov's axioms of probability can be stated in terms of the sample space S of possible events, E1, E2, E3, …En and the real-valued probability P(E) of an event E. The axioms are:

  1. P(E) ≥ 0 for all E ϵ S
  2. P(S) = 1
  3. Axioms of probability

Together, these axioms say that probabilities cannot be negative numbers—impossible events have zero probability—no events outside the sample space are possible as it is the universe of possibilities under consideration, and that the probability of either of two mutually exclusive events occurring is equal to the sum of their individual ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

DevOps Tools for Java Developers

DevOps Tools for Java Developers

Stephen Chin, Melissa McKay, Ixchel Ruiz, Baruch Sadogursky

Publisher Resources

ISBN: 9781788622219Supplemental Content