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5 Chapters 19 Lessons Intermediate

About this course

* Probability theory * is the branch of mathematics involved with probability. The notion of probability is used to measure the level of uncertainty. Probability theory aims to represent uncertain phenomena in terms of a set of axioms. Long story short, when we cannot be exact about the possible outcomes of a system, we try to represent the situation using the likelihood of different outcomes and scenarios.

The actual science of logic is conversant at present only with things either certain, impossible, or entirely doubtful, none of which (fortunately) we have to reason on. Therefore the true logic for this world is the calculusof Probabilities, which takes account of the magnitude of the probability which is, or ought to be, in a reasonable manâ€™s mind.

*James Clerk Maxwell *

The probability theory is of great importance in many different branches of science. Let's focus on Artificial Intelligence empowered by Machine Learning . The question is, ** "how knowing probability is going to help us in Artificial Intelligence?" ** In AI applications, we aim to design an intelligent machine to do the task.

In this course, the goal is to provide * sufficient background * in probability theory so

**[1] ** Jaynes, Edwin T. *Probability theory: The logic of science *. Cambridge university press, 2003.

**[2] ** Feller, Willliam. *An introduction to probability theory and its applications *. Vol. 2. John Wiley & Sons, 2008.

**[3] ** Sheldon, Ross. *A first course in probability *. Pearson Education India, 2002.

LIMITED FOR NON-SUBSCRIBERS ## Discrete Random Variables 4 Lessons

LIMITED FOR NON-SUBSCRIBERS ## Continuous Random Variables 4 Lessons

LIMITED FOR NON-SUBSCRIBERS ## Joint Probability Distributions 3 Lessons